diff --git "a/data/dm_maths/full_data/11074_11255.jsonl" "b/data/dm_maths/full_data/11074_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11074_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(j) be the second derivative of j**5\/5 + 11*j**4\/3 + 62*j**3\/3 + 42*j**2 + 44*j. Factor z(d).\nAnswer: 4*(d + 1)*(d + 3)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 + 3*s**5 - s**5 + s**5 + 0*s**5 + 0*s**5 + 0*s**5 + 3*s**5 - 4*s**5 + (3*s**2 + 2*s**2 - 3*s**2)*(-22*s**3 + 3*s**2 - 3*s**2).\nAnswer: -43*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7 = -2*c, c + 2 = -j + 6. Suppose -c*k + 2 = -4*k. Suppose 55 = 3*x - h, -k*x - 3*h + 30 = -25. Calculate the greatest common factor of 180 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 9*x + 92. Let r be d(0). Differentiate -219*h**3 + 73 + r*h**2 - 47*h**2 - 45*h**2 wrt h.\nAnswer: -657*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1527000 to the nearest 10000.\nAnswer: 1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -374.9 + 374.96051. Let j = t + -0.06. What is j rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 10, -14, -58, -128?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.877749m to nanometers.\nAnswer: 3877749000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41169431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 80 + 29*w + 4*w - 41.\nAnswer: 33*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 154*w + 1757. Calculate the smallest common multiple of 10 and t(24).\nAnswer: 54530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -640, -4\/3, 2\/5, 2.\nAnswer: -640, -4\/3, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeizzez. What is prob of picking 1 z and 1 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*k - 72334, i = k - i - 14457. Is k a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 225 + 5 = 0. Let z = -52 - s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -38, -2, -4, 0.107, 3\/4, -63, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*q + 5*q. Let b = 6 - q. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.26869 to 0 decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23599*l + 4046*l - 1188735 = 0 for l.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12, 0, -1.1, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10)*2\/14. Let r = 81.5 - 81.4. Let d be 4\/(-18) + (-10)\/36. What is the nearest to r in -0.1, f, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23920 and 31478720?\nAnswer: 31478720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*j**2*n*o - 4*j**2*n - 194*j**2*o + 4*j**2 - 24*j*n*o - 49*n*o + 2634*o wrt j?\nAnswer: -28*n*o - 8*n - 388*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 + 5*l - 10. Determine w(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -609, -1313, -2017, -2721?\n\"Answer: -704*p + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312236 by 78059.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**4 - 2934*f**3 - 1005411*f**2 - 140855472*f - 6914304192 = 0.\nAnswer: -353, -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -72494126 > -72494127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (5 - (-9 + 7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 + (-10 - -13) + (-15)\/6. Determine q, given that 3\/4*q**3 - 15\/4*q**2 + r + 3*q = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**7\/105 - 7*z**6\/150 + 4*z**5\/25 + z**4\/30 - 7*z**3\/15 + z**2\/2 + 2*z + 53. Suppose b(a) = 0. Calculate a.\nAnswer: -5, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 + 1006710*s**3.\nAnswer: 5*s**3*(s + 201342)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbbb when four letters picked without replacement from bblbblllllblll?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 1\/105*g**6 - 50\/7*g**2 - 43*g - 5\/21*g**3 - 11\/70*g**5 + 0 + 11\/14*g**4. Factor l(h).\nAnswer: 2*(h - 5)**2*(h - 2)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (665 + 307 + 609 - 180)*(o + o - o).\nAnswer: 1401*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1084*h**2 - 59614*h - 280. Calculate j(55).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 8*y**2 - 10*y - 1. Let g be q(-9). Suppose 2 = 2*o - g. Suppose o*p + 432 = 4*c, c - 52 - 47 = -p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 2*g. Suppose -3 = -w - 1. Suppose 4*x - 4 = -0*x - 4*h, -1 = 4*x + 3*h. Put x, g, w in descending order.\nAnswer: g, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*w = -113*w - 60. Let b be 6\/w*10\/(-16). Let x = -13\/20 - b. Put 0.1, x, 1 in increasing order.\nAnswer: x, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 1. Let t(m) = m + 5. Let a(x) = 1. Let h(y) = 14*a(y) - 2*t(y). What is 2*h(q) - 7*k(q)?\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 236049, 472085, 708125, 944169, 1180217, 1416269?\n\"Answer: 2*w**2 + 236030*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 67 = -42. Suppose 17*n = y*n + 84. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14*((-1)\/(-28) + (-7)\/(-28)). Suppose 0*m + 12 = c*m. Suppose -2*g + 3109 = m*w, 2*w - 4653 = -3*g + w. Round g to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y**3 - 18*y**3 - 43*y + 17*y + (2*y**2 + 3*y**2 + 0*y**2)*(5 + 6*y - 5) + 2*y**3 + 0*y**3 - y**3 to h*y + d*y**2 + j*y**3 + v and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 20, 3\/22, -0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3075\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/588 and -67\/63.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7135 and -0.5458?\nAnswer: -3894.283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/8, 2, 3\/2, -4\/49, 0.04, -1\/10?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 1, a: 5, y: 3, v: 6}. Give prob of sequence ayi.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -81 + 23 + -4 - (-25 - -18).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*q + 77 = 363*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -5 + 20 - 6 - -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11\/5 (b) 4 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q + 39 = s - 43*q, 3*q = -21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 - 72. Let d(u) = 2*u + 26. Let g be d(a). Solve -2*y - 12 = 4*w, -5*w - 5*y - 20 + 5 = g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from nwwwlrixrxxxnwi?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 6*m**2 - 26*m + 118. Calculate f(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18833?\nAnswer: 37, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2433.502kg to tonnes.\nAnswer: 2.433502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1068 - 6a6?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 53. Let x(t) = 5387*t + 28*t**2 - 5387*t - 22*t**2. What is x(d(p))?\nAnswer: 6*p**4 - 636*p**2 + 16854","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g**4\/7 + 123952*g**3\/7 + 60631993*g**2\/7 + 85135926*g + 135766512 = 0.\nAnswer: -7707\/8, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 83872*u - 4573. Is k(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135772280 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1131801, 1131800, 1131799, 1131798?\n\"Answer: -c + 1131802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 - 78. What is the least common multiple of 6 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2231 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**5 + p**3 - 1. Let o(k) = -5*k**5 + 21*k**4 - 3*k**3 - 25*k**2 + 2*k + 3. Let z(l) = o(l) + 3*w(l). What is the third derivative of z(x) wrt x?\nAnswer: -120*x**2 + 504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782 and 11031674.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 12*x**2 + 13*x + 5. Let d be p(13). Let v be (-2)\/(-4)*(10 + 0). Suppose -4*m = v*i - 75, 8 + 12 = 4*m. Solve d*z = -i - 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23638.\nAnswer: 2, 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 41, 55, 63, 59, 37?\n\"Answer: -h**3 + 6*h**2 + 3*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26960.2 millennia to centuries.\nAnswer: 269602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(-9\/5)\/(w**(-6)\/(((w**(-1)*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121)*-4 - sqrt(121))\/sqrt(11) - (2 + sqrt(11) + 2)) + (-2 + sqrt(11) + -3 - (sqrt(11) - (5 + 0 + sqrt(11)))))**2.\nAnswer: 40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzy when three letters picked without replacement from zdyzye?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 13 - (-13 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27287*f + 27292*f = -2*j + 3, 5*j = 5*f - 45 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (247\/(-273) - (-2)\/6)*-28 and 79.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -3 (b) 18 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7120.196 weeks to nanoseconds.\nAnswer: 4306294540800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77 + -73. Suppose -11 = 2*t - 1, 10 = c*g + 2*t. Find the second derivative of 4*f + 10*f + 7*f - 4*f + 25*f**g wrt f.\nAnswer: 500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 6*a**2 + a - 2. Let b be x(-5). Suppose 0 = -f - 3*z - b, 4*z = -4*f + z - 27. Let g = f - -2. Which is bigger: 0.1 or g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -166. Let r = -66 - d. Suppose 2*c + 4 - 14 = 0. Solve 4*t = -r*z - 29, 3*t - 23 = t + c*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 419*o**7\/42 + o**5\/10 + o**4\/12 + 205*o**2 - 25*o + 18. Find the third derivative of c(k) wrt k.\nAnswer: 25140*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703559378 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 2651 = 5350. Let x = 570 - j. What is the remainder when x is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 52*n**2 + n. List the prime factors of w(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 + 40)\/(0 - -4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-27))\/(1\/1). Which is the closest to 0? (a) 6 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -29.074258?\nAnswer: -29.074258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 + 32*f**2 - 26*f + 17. Determine s(-12).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(3\/5)*d*d\/d**(-4))\/(d\/((d*d*d**5*d)\/d))**(1\/2))**33)**(-8\/3) assuming d is positive.\nAnswer: d**(-4224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 141*i = 146*i - 30, -34 = q - 3*i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 greater than -213\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04447*0.00695.\nAnswer: -0.0003090665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1172, 4699, 10578, 18809, 29392?\n\"Answer: 1176*y**2 - y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 11:38 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.3943+0.05\nAnswer: -1.3443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1507 + 2c9?\nAnswer: -122d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from {n: 1, o: 1, z: 1, y: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*l + 10 = -3*l, -5*p - 2*l + 10 = 0. Suppose p = -2*x - 44 + 142. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.13068?\nAnswer: 0.52272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (543\/2)\/3 - 1\/(31 - 29). What is the greatest common factor of 1200 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**2 + 17*n + 18. Let t be s(15). Let y = 2654 + t. Let b = y - 1281. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 3:07 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -133*n - 13998. Determine z(-105).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**2 + 277*p + 4247. Give d(-22).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/240 and 47\/147739872.\nAnswer: 738699360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/5, 547, 0.3, 0.02?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -3. Suppose b*l - 3*l - 3731 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-7 + 13) - (35 - 8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -256\/4185 + 53387\/83700. What is the common denominator of -149\/2010 and i?\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1293*j + 375*j = 91740 for j.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16504 or -16500?\nAnswer: -16500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -29276 and -5422586?\nAnswer: 5393310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25551 and 1683?\nAnswer: 281061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**6\/120 + s**5\/15 - s**4\/12 - s**3\/6 + 9*s**2. What is w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 - 43*u**2 - 84*u - 414. Determine s(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/12*-2*(-63)\/490.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n = -7*n + 25. Let z = 209 + -205. Let m = 10 + -8. Sort n, m, z in increasing order.\nAnswer: n, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*a**2 - 243*a - 92508*a**5 + 3*a**2 + 94259*a**5 wrt a?\nAnswer: 105060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**2 + 7626*x + 32743 wrt x?\nAnswer: 2*x + 7626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0.7. Let f = -2.5 + k. Sort -1\/2, f, -0.1 in ascending order.\nAnswer: -1\/2, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 47, 62, 81?\n\"Answer: 2*m**2 + 5*m + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*r + 3 - 11, 3*r + 2*m = 7. Suppose 242 = 5*w + 2*u, 3*w - 146 = -r*u + 2*u. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a464 (base 11) to base 5.\nAnswer: 33321133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13.9 - 40.9. Let p(d) = -d**3 - 12*d**2 + d + 7. Let w be p(-12). Which is the second smallest value? (a) 0.3 (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46013112 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h + 28. Let z be (3 - (-36)\/(-8))\/((-3)\/4). Let s be 16\/z*(-5)\/(-10). What is the units digit of f(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -367*(3 + -1)*2. Let m = 742 + u. Let g = m + 1033. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11465 divided by -4.\nAnswer: 11465\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p - 4. Let i(b) = b - 1. Calculate 20*i(t) - 5*m(t).\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4*1.26019\nAnswer: 5.04076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 530 and 13?\nAnswer: 6890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s + 22. Let z(o) = o + 7. Let g(m) = -6*m**2 - 76*m - 41. Let c be g(-12). What is c*z(d) - 2*l(d)?\nAnswer: -d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 229*p**2 + 461*p + 282. Determine s(231).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -49*b**2 - 6*b + 6. Let l(i) be the first derivative of -295*i**3\/3 - 35*i**2\/2 + 35*i + 7386. Calculate -6*l(s) + 35*z(s).\nAnswer: 55*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 68 = 5*r + 1068, -5*r = 2*w + 1139. Let c = r - -249. Solve -3*s = -5*h + c, 2*h - 2*s - s - 17 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 11 + 1\/9*t**6 - 4\/27*t**3 + 0*t - 1\/6*t**4 + 0*t**2 + 4\/45*t**5. What is s in j(s) = 0?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/4)*k)\/k*k**(-1\/30))\/((k*((k*k**(7\/5))\/k)\/k)\/k)**(-16\/9) assuming k is positive.\nAnswer: k**(167\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5214, -10448, -15694, -20958, -26246, -31564, -36918, -42314?\n\"Answer: -g**3 - 5227*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7105 (base 8) to base 15\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6392527403590 - -0.07\nAnswer: -6392527403589.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 1100100011?\nAnswer: 1100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1353*w - 7. Let q be i(5). Is ((-6)\/(-4))\/((-6)\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 570096*k**2 + 3531. Let p(g) = -323*g**2 - 2. Calculate 3531*p(t) + 2*u(t).\nAnswer: -321*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmmbc. Give prob of sequence mm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1859 + 498 = 41*k - 28749. Calculate the remainder when k is divided by 88.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q - 1584 = 167*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 96*f - 4. Let o(g) = -3*g**2 + 91*g + 5. Let w(p) = 5*h(p) + 4*o(p). What are the prime factors of w(-21)?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 2*n - 2*j + 6, -4*n = 5*j - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u = 24*u + 197384. What are the prime factors of u?\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 r when four letters picked without replacement from {r: 13, k: 5}.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*-1)\/sqrt(9) - (sqrt(228)\/(1*sqrt(12)) - sqrt(19)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/4 + 206*j. Let s(u) = 68*u**2. What is b(s(c))?\nAnswer: -13872*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 1216\/84)\/(-8*(-6)\/42)\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 - n**2 - n**3 - 3*n + 2*n + 2*n**2. Let p be 0\/(1\/(-1) + 2). Calculate v(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 433015 + 3?\nAnswer: 433021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 9*d**2 + 8*d - 1. Let l be 10\/(-1) - (-4 + 2). Let i be u(l). Is 2 a factor of (-3)\/(-4 - i) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3\/2 + 243*g**2\/2 - 505*g\/2 - 3675\/2 = 0?\nAnswer: -245, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-87)\/18 - (-7)\/(-42). Let f be -93*(1 - 6\/9). Put 1, f, q, 3 in decreasing order.\nAnswer: 3, 1, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13633 + -12589. Calculate the greatest common factor of 1972 and q.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 11 - -21) + -4 - 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8942127389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653 (base 12) to base 14.\nAnswer: 4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + (-95)\/38)\/(9 + (-1 - 2)). Let g = -323\/795 + 1\/159. What is the closest to j in g, -4, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -223, -109, -1, 3 in decreasing order.\nAnswer: 3, -1, -109, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 22*o. Let p(l) be the third derivative of -l**5\/15 - 2*l**2 + 10*l. Determine p(y(g)).\nAnswer: -1936*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, r: 2, p: 1, u: 7, n: 2, d: 1}. Give prob of picking 2 n and 2 u.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -6 + 16 - (-3 + 16)) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 18*j**2 - 57*j + 108. Determine w(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -39.07?\nAnswer: 38.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -2*c**7\/21 + c**6\/5 + c**5 - 8*c**3\/3 - 3*c**2 + 2*c + 24. Find h such that o(h) = 0.\nAnswer: -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 14 = -g, 0 = -9*s - 851*g + 848*g + 42 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*k = -295*k - 5*p + 18, 0 = -3*k - 3*p + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55348 divided by -931?\nAnswer: -55348\/931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**6\/120 + 7*g**5\/60 + 7*g**4\/24 + 7*g**3\/6 + 39*g**2. Calculate x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 33 = q + 4*q, 5*q - 27 = o. Let p be 2995\/1550*o + 4. Let c = 2\/31 + p. What is the fourth biggest value in c, -5, -3, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-14)*(-57)\/52. Let c = o - 3\/26. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**2 - 2158*c\/15 - 12\/5.\nAnswer: 2*(c - 18)*(60*c + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -37*t**2. Let z(o) be the third derivative of 7*o**4\/24 + 5*o**3\/6 + 20*o**2. Let q(j) = 4*j + 3. Let v(x) = 10*q(x) - 6*z(x). Give s(v(l)).\nAnswer: -148*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 479844877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8))**20 assuming s is positive.\nAnswer: s**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72786499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a5 + -8?\nAnswer: 29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -939 - 2?\nAnswer: -93b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 + -123. Let f = -195.0346 - d. Let q = 0.03701 + f. Round q to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 8*h + 21. What is the third derivative of -47*w**h - 10*w**2 - 3*w + 3*w - 2*w wrt w?\nAnswer: -2820*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 309942 and 36710908.\nAnswer: 330398172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 9:46 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18320 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 - -3. Let y = f + 0.43. Let o = 0.04 - y. Round o to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 40*k**3 - 9*k**2 + 168*k - 160. Determine x(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20596 and 2280.\nAnswer: 617880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**2 + 22*p. Let y(s) = -87 + 34 + s + 23 + 30. What is -2*n(f) + 44*y(f)?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 2 (c) 4 (d) -5890 (e) 1 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/7)\/(k\/k**15))\/((k**(13\/3)\/k)\/k**8) assuming k is positive.\nAnswer: k**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 24*i - 80. Let v be l(20). Let c(u) = 2*u**3 + 4*u**2 - u - 3. Let s(n) = n**3 + 3*n**2 - n - 3. Let b(w) = 2*c(w) - 3*s(w). Give b(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w + 30. Suppose 3*x = -v + w, 3*v - 4*x + 11 = 4*v. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d + 130. Calculate z(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 39012.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**2\/3 - 924668*a\/3 - 1849312 = 0.\nAnswer: -462328, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 1:26 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(21\/2)\/(2 - -1). What are the prime factors of (-4796)\/p + (-76)\/133?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 5108*s - 141454. What is y(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -2*g + 6*g - 3*u, g - 3*u = 16. What is the greatest common divisor of 12 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1221 - 1237. Let k(w) = w**3 + 15*w**2 - 16*w. Calculate k(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j**2 - 470*j + 2421. What is y(-47)?\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and 0.16?\nAnswer: -5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 + 3 - 3)*(55*j - 80*j - 633*j - 211*j).\nAnswer: -6083*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209 and 15697?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 4. Let j = c + -17. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 6866*z**2 - 2948088*z + 1472328.\nAnswer: -2*(z - 858)**2*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 9\/2*n**2 + 0 - 1\/2*n**3.\nAnswer: -n**2*(n - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0*j**4 + j + 0 + 0*j**3 + 0*j**5 + 31\/2*j**2 - 2\/3*j**6. Differentiate o(h) with respect to h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-10) + 18\/(-45). Let n be -15*(12\/(-5) - s). Let d = -94 + n. Which is smaller: -27 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1730, -3462, -5194, -6926, -8658?\n\"Answer: -1732*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-2)\/(-16)*-1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.555174 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 34*v - 332. What is the tens digit of f(39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 43*n**3 + 27*n**2 - 4*n. Let r(z) = -z**3 - z**2 - z. Let k(p) = 4*r(p) - w(p). What is the third derivative of k(h) wrt h?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g + 258 = -58 + 56 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-25)*(70\/21)\/(-2). Let v = -1 - 2. Let r = 6 + v. Solve n = -5*z - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = g - 8, 3*v - 409*g = -404*g - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004748 rounded to 7 dps?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20493 - 20548. Which is smaller: m or -113\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92305000 rounded to the nearest one hundred thousand?\nAnswer: -92300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 6*i**2 + 7*i - 8. Calculate y(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -2 - 1\/2*t**2 + 4*t. Let k be 1*(-6)\/24 - (-50)\/8. What is v(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/((-490)\/(-1428)))\/6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/14 + 170676\/231. Suppose -i*y = -742*y + 198. Calculate the lowest common multiple of 36 and y.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*t - 149 - 69, 0 = -4*y + t + 219. Suppose -2*k - 120 = 3*b, b - 31 = -3*k - 197. Let v = k + y. Put -6, 3\/4, -2\/9, v in ascending order.\nAnswer: -6, -2\/9, 3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 14234*l - 16155579. Calculate v(1135).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/228 and 23\/418.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -27. Calculate the remainder when 248 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 131\/3*q**3 + 0*q**2 + 0*q - 39\/2*q**4 - 87. What is the third derivative of y(u) wrt u?\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/15)\/(2\/(-5)). Solve -g + 2*g = -4*v - 20, -v - f*g = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/164 + 117\/328. Sort c, 1\/2, -0.4 in decreasing order.\nAnswer: 1\/2, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**5\/20 - a**4\/4 - a**3\/6 + 3*a**2 + 154*a. What is o(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -5*s**6\/2 - 11*s**2 + 6. Find the second derivative of v(j) wrt j.\nAnswer: -300*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i. Let q(n) = 17*n - 1. Let f(v) = 9*g(v) + 2*q(v). Let o be 2 + (1 - (1 + 6)). What is the remainder when 11 is divided by f(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b**2 + 2*b + 3. What is o(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 384534870*c**2*t**2 - 9*c**2 - 947*c*t - 90*t wrt t?\nAnswer: 769069740*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*8\/(-24)*2\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wcsmkysy. Give prob of sequence ssc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.35, 0.05, 2\/11?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/14*(-8)\/16*-21. Suppose -9 = -b - 4*w, -2*b + w = -3*w + g. Is ((-54)\/(-15))\/((-5)\/(-3075)) - b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2917656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 140 - 284. Suppose 0*v + 4*v - 164 = 0. Let r = a - v. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -3*n**5\/20 + n**4\/4 + n**3 + 12*n. Factor i(j).\nAnswer: -3*j*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**2 - 205*l = 0.\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 72\/(-18) - -10*12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 2*w**2 - 3*w**2)*(-229913*w**2 - 4 + 226876*w**2 + 4)*(w - 28 + 28).\nAnswer: -6074*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 - 4*v + 2. What is the units digit of i(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*15\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520587, 520580, 520569, 520554?\nAnswer: 520535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/39 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432976438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -2*q**4\/3 - 10*q**3\/3 - 17*q**2\/3 - 4*q - 1. Factor u(g).\nAnswer: -2*(g + 1)*(g + 2)*(4*g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1933330 is divided by 241663.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 2484?\nAnswer: -2484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 99 = 6*n, 0 = 3*n - 25504*t + 25503*t + 45 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 6 = 0. Suppose 0 = -4*v + 4*l + 4, -2*l - 1 = 5*v - a. Put -5, -3, v in increasing order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -98*m**3 + 25*m**3 - 20*m**3 + (-3 - 1 + 6)*(0*m**3 - 3*m**3 - m**3).\nAnswer: -101*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*r + 22*r + 5*r**4 - r**4 - 1 + 1 + (2*r + r - 4*r)*(-r**2 + 2*r**3 + r**2) - 3*r**4 - 4 + 4.\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 40 (b) -3\/11 (c) 66 (d) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3185 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 39497840*w.\nAnswer: -5*w*(w + 7899568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-4)\/4)\/1. Solve o + 0 - 8 = -4*v, 3*v - i = -2*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 4777630.\nAnswer: 66886820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1244322 and 324.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -58. Solve j = -4*g - n, 0 = -5*g - j - 2 - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1175769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 4974368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 211011 and 3330?\nAnswer: 6330330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2340203 (base 5) to base 6.\nAnswer: 531522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*o - 15 = 0, -5*o - 15 = -2*y - y. Suppose -r + 2 = -3, -4*c - y*r + 37 = 0. What is the units digit of (5 - 31)\/(c + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30123133031 (base 4) in base 15?\nAnswer: -445662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, -9 in decreasing order.\nAnswer: -3, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1144ce + 3?\nAnswer: 1144d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 52, -0.58, 1\/3, 4, 269?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 89441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15019, 14788, 14411, 13888?\n\"Answer: -73*g**2 - 12*g + 15104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-34)*x**35 assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**2. Let i(j) be the first derivative of -j**3\/3 - 29*j - 834. Calculate i(a(z)).\nAnswer: -16*z**4 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 = 10. Suppose q*a - 19 = -59. Let w(b) = -b. What is the smallest common multiple of w(a) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**4 - d**3 - d + 1. Let t(s) = 376*s**4 + 6*s**3 + 214*s**2 + 6*s - 6. Let c(g) = t(g) + 6*v(g). Find the third derivative of c(k) wrt k.\nAnswer: 8736*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-52)\/(-4)*13\/195*-1.\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 times -113942\nAnswer: -48995.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.54898 decades to centuries.\nAnswer: 5.854898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 401*o + 8 - 794*o + 398*o. Give u(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*n + 264. Suppose -14 = 4*g - n. Suppose 3*y - g = 8. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4961, -9, 335, -3.\nAnswer: -9, -3, -1, 335, 4961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21169*o**3 + 42322*o**3 - 21162*o**3.\nAnswer: -9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(110)\/(sqrt(44)\/sqrt(4)))*2)\/(((-2*sqrt(968) - sqrt(968)) + sqrt(8) + sqrt(8) + sqrt(8) + sqrt(8))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220301.\nAnswer: 220301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - b6bf?\nAnswer: -b6c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:28 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21020 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-196)*-4 - (-1984)\/392*7.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1964 + -27?\nAnswer: -198b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h + 7. Let u be j(7). Let q be ((-16)\/(-6))\/2*3\/u. Let g = 0.2 + -1.2. Which is the nearest to 2\/5? (a) g (b) q (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of 1\/12*s**4 - 2*s - 9\/2*s**2 + 0 - 5\/6*s**3. What is m(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-388)\/4074)\/(11\/(-132))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.93 + 2.93. Which is bigger: -10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-684)\/(-48) + (-2)\/8. Let a(v) = v**3 + 29*v**2 - 13*v - 7. Let k(z) = z**3 + 14*z**2 - 6*z - 3. Let m(d) = g*k(d) - 6*a(d). Solve m(s) = 0 for s.\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/467 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*10\/(-180)*(-6)\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/5)\/((-1)\/10). Suppose 0 = 6*a - 32 + y. Find p, given that -50*p**a + 90*p**2 - 30*p**4 + 7 + 105*p**2 + 145*p - 280*p**3 + 13 = 0.\nAnswer: -4, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - p + 1. Let a(j) = -5*j**2 + 7*j - 8. Let h(l) be the first derivative of 3*l**2\/2 + 2*l - 2. Let n be h(-1). Determine n*a(b) - 6*s(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/36 - (-1)\/(-6). Let y = 47 + h. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -5089650.\nAnswer: 152689.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1591 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 + 0.3. Let q(n) = -n + 4. Let j be q(6). Let t be j\/(-6)*9\/9. What is the closest to t in 0.5, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**3\/6 + x**2\/4 + x\/8 + 2. Factor q(d).\nAnswer: (2*d + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*3969\/(-2). Let i = r + -859. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 209497, -10, -78 in descending order.\nAnswer: 209497, -5, -10, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-1*5*(-5)\/(-1075)). Let z = q + 218. Solve 20 = m + m + z*o, 2*m - 3*o = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**3 - l**2 + l + 4. Let x(p) = -p**2 + 17*p - 32. Let o be x(15). What is the remainder when 123 is divided by n(o)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s - 9*s + 815 - 818 in the form j*s + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2 - 8. Let z(s) be the third derivative of 0*s + 2*s**2 + 0 + 1\/20*s**5 - 5\/6*s**3 + 0*s**4. Suppose 145 = -15*n + 220. What is n*a(j) - 8*z(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15266?\nAnswer: 2, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.125. Let g = -292.6219958 + 292.597. Let k = c + g. What is k rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37508 (base 16) to base 11.\nAnswer: -145251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9534115 and 1501?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5 + 116*d**4 + 404*d**3 - 5124*d**2 + 8928*d = 0. Calculate d.\nAnswer: -8, 0, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 + 81. Let w = -26 + o. Suppose -y - 4*z = -2*y - 4, 2*y + 5*z - w = 0. Solve -2*t + 0*t = y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 979 + -428. Let a(c) = -551 + i + c**2. Let q(u) = -3*u**2. Calculate a(q(j)).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r - 8*r - 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2836.98 and 1124345.1?\nAnswer: 1121508.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22400000 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 + 0.41. Is -2 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 4:02 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -11 (b) -90 (c) 0.4 (d) 2 (e) 0.2 (f) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 68*n**2 + 29*n - 10637. What is i(66)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -318 + (460\/(-69) - 10\/(-6)). Let i = 332 + f. Solve -i*n = -5*n + 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1956?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 - 4*j - 4. Let a(g) = 99*g**2 - 55*g - 55. Give -4*a(y) + 55*q(y).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from rrfwwwrwrwwwwrwrtrtr.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7 (base 12) in base 7?\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2650 (b) -6 (c) -2\/13 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -730 + 742. Solve 0 = 3*g - 4*o - 10 - 9, -3*g = 3*o - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2739, 22112, 74691, 177078, 345875, 597684?\nAnswer: 949107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1736531715 to five dps.\nAnswer: 0.17365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -58*o**2\/3 - 2478*o - 69252.\nAnswer: -2*(o + 87)*(29*o + 1194)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -0.4 (c) -179 (d) 0.4 (e) 113 (f) 5 (g) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 398447351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1397 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -24*z - 16. What is the lowest common multiple of 56 and x(-2)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 12*n + 39. Let z = 45 - 57. What is the tens digit of q(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 848 = -5*x. Let m = -140 - x. What is the highest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-9) + 6\/27. Suppose -5 + 19 = n*j. Suppose -d = -j - 0. Calculate the least common multiple of d and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6231140 to the nearest ten thousand.\nAnswer: 6230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3*j - 1)*(j + 7*j - 12*j) in the form x*j + l + q*j**2 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*m + 2*n + 16 = 0, 4*m - 46 = 2*n. Let h = m - 5. Solve 4*q + h = 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 8*z + 12. Let m be b(-8). Let f(i) = i**3 - 13*i**2 + 13*i - 5. Does 7 divide f(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-4)*(-8)\/(-5). Let f = o + -6. Let s(d) = -3*d**3 + 2*d + 2. Let n(i) = i**3 - i - 1. Determine f*n(m) - s(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -363 and -160\/2997 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 14*x - 5 = -13*x, 3*x + 15 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1466662*21\nAnswer: -30799902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(275) + 3 + sqrt(275)))**2 + 3*sqrt(275)*-1)*-6.\nAnswer: -6654 - 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 - 6*c**3 + 0*c**3 + 3*c**3.\nAnswer: -3*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 49 = -2*z - 21*n, n = z + 12. Which is the smallest value? (a) -1 (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3 - 12 = -5*n, -o + 3*n = 1. Solve -o = j - 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 42 = 46. Calculate the lowest common multiple of 12 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8128 + 8123. Let q(y) be the first derivative of y**3\/3 + 7*y**2\/2 + 7*y + 1. Give q(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -1163 + 4166. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013628 rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -987, -2, 6.\nAnswer: -987, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.1 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 1:26 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**5 + 3*d**5 - 5*d**5 - 2*d wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 90.16444g?\nAnswer: 90164.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*((-1*sqrt(147) + 4)*3 + -2))**2.\nAnswer: -10500*sqrt(3) + 35575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45128, -45119, -45106, -45089, -45068?\nAnswer: -45043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + 3*u)*(0*u**3 + 4*u**3 + 5*u**3)*(-4 + 4 + 5 + (-4 + 0 + 3)*(-3 + 4 + 0) + 1 - 5 + 5)*(2*u + u - 4*u).\nAnswer: -45*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1818 + -5.\nAnswer: -1823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 262968863+0.4\nAnswer: 262968863.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 + 178. Let q = 75.9999919 - b. What is q rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 4*r + 5*r)*(0*r + 0*r - r) + 58*r**2 + 21018*r + 84*r**2 - 20979*r.\nAnswer: 144*r**2 + 39*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1100)*-2)**2 + sqrt(1100).\nAnswer: 10*sqrt(11) + 4405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) -639\/32 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 0*l - 2*l + (-1 + 0 + 0)*(-l - 4*l + 3*l) to o + k*l and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7003.033l in millilitres?\nAnswer: 7003033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 10:47 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 4*p + 2*s, -177 + 102 = -3*p + s. What is the remainder when p is divided by 1*-13*(-1 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2. Let g be (-3)\/(-8 + (14 - 7)). Let m(t) be the first derivative of -6 - 2\/3*t**g + 0*t**2 + 0*t. Give r(m(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17.2 in 4, 41, -1, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 117*j - 6516. What is a(158)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 6. Let f(t) = -s*t + 2*t + t + 4*t + 1. What is f(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 4*q**2 + 2*q + (-2 + 2 - q)*(-2*q - 2*q + 3*q) + 4*q**2 + 3*q**2 - 5*q**2 + 0*q + 2*q**2 + 0*q)*(38 + 29 + 89) to w*q + r + o*q**2 and give o.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -483, -440, -353, -210, 1, 292, 675?\n\"Answer: 2*b**3 + 10*b**2 - b - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -10 (b) 2\/5 (c) -3\/52 (d) -0.025 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 660.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 6*k + 5. Let t be l(-3). Solve -t = 4*z - y, -z - y - 5 = -2*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 + -48. Let i = -2 - 20. Let j = x + i. Which is the nearest to -2? (a) 1 (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -144 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-5\/6)\/r)\/(r*r**(-16)*r*r*r*r))\/(r*r\/(r*r**3\/r)*r)**(-12\/5))**(-3\/23) assuming r is positive.\nAnswer: r**(-55\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 118332926 to the power of 1\/2, to the nearest integer?\nAnswer: 10878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - r = 10, -2*r - 8 = 2*x + r. Let z = -0.5 - -0.1. Let s = z - -0.4. Which is the third smallest value? (a) x (b) s (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91532080*r**4 - 11806297 wrt r.\nAnswer: -366128320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(-4 + 4 + 3*a) + 1 - 1 + 2 - 2*a to o + z*a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d**3 - 7*d - 3. Let f(j) = -5*j**3 - 3*j - 1. What is 9*f(k) - 4*s(k)?\nAnswer: -k**3 + k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a tonne in kilograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30813\/14 - 2203. What is the common denominator of y and -1\/48?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193 - 101. Let m = s - 88. Which is the third smallest value? (a) -0.5 (b) 1\/4 (c) m (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/((v*v**4*v)\/v)))\/v*v\/v**6*v*v)\/(v*v**0*v)**(-6\/11)*(v*v**0*v**2)**(-8) assuming v is positive.\nAnswer: v**(-230\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 k when four letters picked without replacement from {c: 4, o: 1, r: 2, k: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5733 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22210893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**5)**(-2\/89))**(5\/12))**(31\/3) assuming n is positive.\nAnswer: n**(-775\/1602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/11 - 1295\/737. Let y be (568\/804 + -1)\/((-24)\/(-18)). Let q = y + m. Sort 0, q, 0.03, 0.3.\nAnswer: q, 0, 0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1744*a**3 + 5*a**2 - 146*a + 434. What are the prime factors of h(3)?\nAnswer: 47129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 323994*l**4 + 69437*l wrt l?\nAnswer: 3887928*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 1:04 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 204194677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 316089548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Let y(i) = 25*i**3 + 5*i**2 + 2*i - 1 - 10*i**3 + s*i**2 - 7*i**2. What are the prime factors of y(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292896 and 9801?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 (base 8) in base 10?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 0.8. Suppose 0 = 2*v + 2*f - 7*f + 35, 2*v + 5*f = 15. Let h be (v\/(-65))\/(2\/(-4)). Sort k, -4\/9, h in descending order.\nAnswer: k, h, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 22 = -2*o, 0 = 3*q - 3*o + 5*o + 26. Put 6, 1, 3, q in descending order.\nAnswer: 6, 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -816878, -816988, -817100, -817214, -817330, -817448, -817568?\n\"Answer: -b**2 - 107*b - 816770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -5 (c) -0.03225 (d) -2\/17 (e) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 2\/847, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**9\/12096 - f**7\/3360 + f**3\/6 - 15*f. Let p(g) be the second derivative of b(g). Factor p(h).\nAnswer: h**3*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkd when three letters picked without replacement from {d: 2, k: 6}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-36\/11)\/t))**(-27)*(t*t**(8\/9)*t)**(-1) assuming t is positive.\nAnswer: t**(-14380\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 + 0 + 0). Let r = z + 4. Calculate the least common multiple of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 4, p: 8, k: 1}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 15. Let v = -67 + w. Let j be 2 - 0 - (-3 + v). What is the highest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324831865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.11 (b) 461 (c) 13.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2228 or -2227?\nAnswer: -2228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4165000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is aa (base 14) in base 7?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10483 - 10528 = 5*u + 2*h, -3*h = 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5.5 + 0.0721015244\nAnswer: 5.5721015244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rireiiooireroreeori. What is prob of sequence eo?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 5. Suppose -r - 150 = -6*r. Suppose 2*j - j - 2*l + 19 = 0, -2*j + 2*l = r. Does 3 divide k(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -3*c**4 - 858*c**3 - 2535*c**2 + 3396*c = 0.\nAnswer: -283, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*k**2*l**2 - 120*k**2*l - 204*k**2 - 2*k*l**2 + k*l + 173301*l**2 + 54*l wrt k?\nAnswer: -132*l**2 - 240*l - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (133 - (-72 + 203)) + 1 + 0 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p + 10. Let l be b(-2). Let u(a) be the first derivative of -a + 2\/3*a**3 + 0*a**l - 1. What is the derivative of u(v) wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/2)\/m**(6\/5))**(22\/7)*((m\/(m*m\/(m*m*m*((m**0\/m)\/m)\/m*m*m*m*m)))\/m)**(-1\/4)*m**(4\/3)*m**(-1) assuming m is positive.\nAnswer: m**(-2477\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/585 - 601\/4680. Which is the smallest value? (a) g (b) 2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1245 (base 6) to base 15\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3794 - 45443\/12. What is the common denominator of (3\/(-22))\/((-3)\/25) and h?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 535 = 6*k. Let b = 117 + k. Solve -2*l - 12 = j, -b*l = -4*l - j - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (0 - (5 - 3)). Let g = -62 + 26. Let m = g + 40. Solve d*j + 8 = 2*j + 5*i, j + 4 = m*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -9535.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 not equal to -89\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 3}. What is prob of picking 1 g and 3 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 9:22 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -659158 or -659275?\nAnswer: -659275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16755 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 eighth root of 907 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150295 = -36*w + 41*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -37 + 1 + (1 - 3). Let s = 2578 + -2574. Sort -0.2, k, s.\nAnswer: k, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1277667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*h**4*t - 2*b**2*t + 2*b*h**4 - 134*h**3*t - 2*h**2*t wrt h?\nAnswer: -48*b**2*h*t + 48*b*h - 804*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**4\/6 - 4*o**2. Let q(i) = 2*i + 13. Let x(s) = s + 6. Let f(m) = 6*q(m) - 13*x(m). Calculate r(f(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2159 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 2)*(2 + 1 - 4)*((1 - 2 - 1)*(o - 2*o + 9*o) - 3 + 3 - 2*o).\nAnswer: 90*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 9 - 39. Let p = l - -20. Suppose x = 4*h - 1042 + p, -16 = 4*x. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 54099*-0.01422.\nAnswer: -769.28778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*s - 4*w, -30*s + 32*s = -5*w - 28. Solve -49 + 1 = -s*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**5 + 2*i + 0*i - 16*i**5 - 21*i wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -61 from -33.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3285127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/85, -2, -5, 1?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 13 = -9*o - 19*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4833906?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/24*-3 + 4. Which is bigger: 1\/46 or h?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/12 - 2*q**3\/3 - 5*q**2\/2 + 2*q - 55. Factor o(k).\nAnswer: (k - 5)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1442*u**2 - 217688*u + 217688*u - 190*u**2.\nAnswer: 1252*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(242)*2 + -3 - sqrt(242) - 5*-2*sqrt(242))**2 + ((sqrt(242) - sqrt(242)*-2*1)*-5)**2).\nAnswer: -418705 + 3630*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6*m + 3*m = 72, 5*m = -5*j + 90. Suppose j*o = 3*o + 540. Suppose 78*s - o = 76*s. What is the smallest common multiple of 16 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 1952412*l**2. Let i(y) = 42*y**2. Determine i(o(w)).\nAnswer: 160100329945248*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 2:47 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 60578.2ml?\nAnswer: 60.5782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18837 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -615 divided by 992\nAnswer: -615\/992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, v: 2, j: 5, i: 9}. What is prob of picking 1 j and 3 i?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 6*y**4 + 3 - y + 2*y**2 + 4*y**4 + 0*y**4 - y**2 in the form k*y**4 + m*y**2 + z*y + p + q*y**3 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 30. Suppose 5*j = 14 + a. Let g(c) = j + 0*c + 4 + 3*c - 2*c. Calculate g(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, -36 in increasing order.\nAnswer: -36, -5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*y = 222, 6*n - 5*y - 106 = 4*n. Suppose -5*o - 184 = 96. Let p = n + o. Solve -5*c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 0*b + b**2 - 2*b**2 - b - 11 - 10*b. Let m be p(-10). Let o(a) = -3*a**3 + 2*a**2 - 1. Let t be o(m). Solve t*x + 9 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10\/1883 + -3899663\/5649. Let w = -679 - x. Find the common denominator of w and -49\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -3\/2 (b) -12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37686 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-22)\/d*d**(-7) assuming d is positive.\nAnswer: d**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x + 13*x)*(-2*x**2 + 0 - 2 - 39*x**2).\nAnswer: -574*x**3 - 28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-141)\/(-2397)*-17)\/((-1)\/(-51))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, z: 1, f: 1, a: 7}. Give prob of picking 1 a and 2 v.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*q + 2 + 0 = 0, 23 = 3*g + 2*q. Suppose -4 = h - i - 25, -g*i - 48 = -2*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -2\/311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 174*d - 1039. Let b be y(6). Solve -3*h - 22 = b*z, -4*h + 5*h - 2*z = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 - 75\/(-10). Suppose -10 = 3*w - q*w. Let t(v) = v**3 - 4*v**2 + 5*v - 2. Let n be t(3). Solve -4*k - w*c = n, -4*k + k = -2*c + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, h: 3}. What is prob of picking 1 j and 3 h?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c386 (base 13) in base 8?\nAnswer: 154366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 122318?\nAnswer: 244636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*j - 30, 5*g - 75 = 162*j - 160*j. Solve g*o = 2*o + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*(-10)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23658.5898 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 45*l**2 + 90*l - 203. What is y(43)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 2*sqrt(80) - sqrt(80))**2 - ((sqrt(5) + -1 + sqrt(5) + sqrt(5))*-2 + sqrt(5))**2.\nAnswer: 20*sqrt(5) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4468338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 6*k + 4. What is the smallest common multiple of 2 and z(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 39 = 51. Let v = 767\/17 - m. Which is the smallest value? (a) 2\/7 (b) -2\/3 (c) v (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*1)\/sqrt(7).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a = 28*a - 1120. Let s = a - -391. Is s a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4 - 5682*w**3 - 279198*w**2 - 273518*w = 0. What is w?\nAnswer: -2791, -49, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-4)\/12*264779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - -10. What is the second derivative of -q**3 + v*q - 29*q + 5*q**3 wrt q?\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 4*l - 3. Let s be i(3). Suppose -45 = -2*j - 5*q + 6, 3*j - 2*q - 29 = s. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1103\/24 + 16499\/72. Which is smaller: 274 or u?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 792844?\nAnswer: 792844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 11004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1371, 5390, 12037, 21306, 33191?\n\"Answer: -z**3 + 1320*z**2 + 66*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*n - 2470 - 3238, 3*j - 5700 = -4*n. List the prime factors of n.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3 - (-8 - -6)) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 d, and 1 r when four letters picked without replacement from fbdrrdqbrppbdq.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/5 + 2682*f**3\/5 + 895104*f**2\/5 - 2709504*f\/5.\nAnswer: 2*f*(f - 3)*(f + 672)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244940 divided by 331.\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pldllplpldllllldlp. What is prob of picking 2 l?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292 and 1022.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1019 + -0.3019. Which is the third smallest value? (a) 2\/13 (b) k (c) 8 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174771731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 + 8*j. Let d be t(-4). Calculate the highest common divisor of 12 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*r - 45 = -286*r. What is the remainder when 41 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 96 - (-15 - 28\/(-14)). Sort -4, v, -3, 2 in ascending order.\nAnswer: -4, -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 14 = 3*k. Suppose 31 + k = o. Calculate the highest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 73. Let t be 96\/32 - k\/4. Let l = -1.3 - -0.3. Is l less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d + -2264?\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 35. Let o = l - 139. What is the remainder when 35 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 21*b + 9. Let z be j(-21). What is the derivative of -2*i + z - 2*i**3 + i**3 + 7*i**3 wrt i?\nAnswer: 18*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65466.993 + 65496. Let o = a + -0.007. Let z = -27 + o. Do 5\/2 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 4:09 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*(h\/h**(2\/35))\/h*h)*h*h**(-1\/16) assuming h is positive.\nAnswer: h**(-3\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 29270 = -34435. Suppose 10183 + m = -13*p. List the prime factors of (1 + 0)\/(5 - (-5544)\/p).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.006.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 60 - 58. Suppose k*c = -5*p + 70, 5*c = -3*p - 2*p + 85. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ee1b (base 15) to base 4.\nAnswer: -30103322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-370)\/10*((-5)\/(60\/4))\/(1\/3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/8195 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-416)\/(-160)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.64 to the nearest integer.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 8. Suppose 3*z - 2*b - 24 = 3*b, 0 = z + 2*b - 8. Let d = z - w. Let l(k) = k - 2. Give l(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1566 - -2534. Let j = -617 + o. What are the prime factors of j?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 - 7.68.\nAnswer: -254.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 4, 24 in increasing order.\nAnswer: -4, 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 16*m + 20*m - 38*m. Let b = -4 - -10. Let g(l) = -b*l + 4*l - 3*l + 2*l. Calculate g(o(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3) - (-56)\/6. Suppose -9*o + 60 = -13*o. Let j = t + o. Which is the second smallest value? (a) -0.1 (b) j (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33693812 to the nearest integer?\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5 + 2*t**4 - 4*t**3 - 2*t**2 + 3*t = 0. What is t?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*r + 15 = 0, -3*k + 12631*r + 12 = 12627*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13667512, 27335024, 41002534, 54670042, 68337548?\nAnswer: 82005052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-38)*(w**(1\/4)*w)\/(w\/((w*w**(1\/2)*w)\/w)))\/((((w\/((w\/(w\/w**(1\/3)*w))\/w)*w)\/w)\/w)**(-2\/87)*(w*w**0\/w)**2) assuming w is positive.\nAnswer: w**(1867\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 41, -7, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/20 - (14 + 350\/(-28)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*9 + 1 + 2. Let c be (3 + t)\/((-18)\/4). Is 0 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 i, 1 k, and 1 w when four letters picked without replacement from {w: 3, h: 7, k: 5, i: 2}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.507302 times -103?\nAnswer: -52.252106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Let a = 7.95 + -7.45. What is the closest to -2\/5 in a, b, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)*(-5)\/10. Suppose 0 = -p*h + h - 13. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 88. Let n be d(13). Let p = 137 - n. Calculate the greatest common divisor of p and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + (-2)\/(-2) + (-47802 + -4 - -10). Round c to the nearest one hundred.\nAnswer: -47800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 plus 398?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 54*j - 10. Let x(v) = 2*v. Let r(h) = -h - 2. Let o(y) = -r(y) - 6*x(y). What is -3*f(a) - 16*o(a)?\nAnswer: 14*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (-2*sqrt(152) - sqrt(152)))*6)\/sqrt(8) + -4.\nAnswer: -4 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4169*l - 25019. Determine r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 - ((-38 - -65) + -22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -932 + 2800\/3. What is a in 4\/3*a - 2\/3 - 8\/3*a**5 + k*a**3 + 16\/3*a**2 - 14\/3*a**4 = 0?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36823990 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(80)*2)**2 + -4.\nAnswer: 7996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.1741 to the nearest integer.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 9, v: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7711 + 23867. What are the prime factors of j?\nAnswer: 2, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 7*j + 5. Let m(t) be the third derivative of 7*t**4\/24 + 139*t**3\/6 + 2*t**2 - 41*t. Let a be m(-19). Determine f(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 8*k**2 - k - 6. Let t be d(-8). Factor -j + 2*j**2 - 3*j**t - 3*j + 2*j**3 - j**2.\nAnswer: 2*j*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, x: 2, w: 4, k: 3, p: 3, m: 1}. What is prob of picking 2 p, 1 o, and 1 k?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15553*k*s**3 - 10883*k*s*z**3 + 15*s**3*z - 16750*s**2*z**3 + 99*z**3 with respect to k.\nAnswer: -15553*s**3 - 10883*s*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + 1103. Suppose 950 = -4*k - 0*v - 3*v, -5*k + v = d. Let r = -139 - k. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -52) + (1 - -2) + -9 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72458 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*5\/45)\/((-3)\/(-12)*-28)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1693.358 micrometers to meters.\nAnswer: 0.001693358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 28810*a + 115256. Give w(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 8 = 5*v, 0*v = 4*c + 3*v - 28. Let y = c + -2. Suppose -g + y*b = 1, 5*g - 3 = 3*b + 6. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 8*z + 164 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11413*f - 3102. Is m(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1690 * 0.16.\nAnswer: -270.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202091266 by 199.\nAnswer: -1015534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n + 0*n - 7*n + 19*n to j + t*n and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (35 + 0 - -24).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 322.4 * 0.2\nAnswer: 64.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((0 - 9) + 10)*-1. Let s be -2*2*(-1)\/2. Suppose s*a + 2*a - 4 = 5*h, 0 = -4*h - a + f. Solve w + 2*q = 1, -2*w = -h*w + q - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*j + 91*j - 288030 = 0. What are the prime factors of j?\nAnswer: 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 4*l**2 + 6. Suppose 2*u + 6 = m - 2*u, -2*m + 5 = -u. Let b(k) = 11 - 3*k**2 - 2*k**3 - 28 - 8*k**m. Determine 4*b(z) + 11*p(z).\nAnswer: 3*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyx when three letters picked without replacement from {a: 3, t: 4, n: 4, x: 6, y: 3}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/4077 and -32\/189.\nAnswer: 28539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -9*d + 12*d. Let o = d + -80. Calculate the remainder when 77 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32752 (base 8) to base 9.\nAnswer: -20835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2396\/(-44925))\/((-132)\/(-110))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 + 4*g**2 - 7*g - 12. What is the hundreds digit of v(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u - 6*u + 2*u + u + 1 - 1 + (2 + 1 - 1)*(0*u - 5*u + 4*u) - 7*u - 11*u + 4*u to w*u + a and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7578 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 37792592*a - 892675006299040.\nAnswer: -2*(a + 47240740)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-30)\/((o\/o**(1\/3))\/(o**(-3)\/o)) assuming o is positive.\nAnswer: o**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 6*b - 2*b)*(2*b**2 + 0*b + 0*b) + b**3 + 2*b**3 - 4*b**3 + (4*b**2 - 5*b**2 + 0*b**2)*(0*b - b - b) + 2*b**3 - 3*b**3 + 0*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, c: 1, h: 3, e: 1, p: 1, s: 4}. What is prob of sequence ddec?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 6*l - 3. Let d be a(4). Let z(c) = 7*c + 9. What are the prime factors of z(d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -15?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 9. Let p be (-4)\/2 - (w + 0). Suppose 0 = 2*x + p, o - 3*o + 38 = 4*x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 2*l**3 - 2*l**3)*(156*l**2 + 15*l - 2 - 168*l**2 + 11*l).\nAnswer: 24*l**5 - 52*l**4 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 1:23 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37449 and 19779?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(21)\/sqrt(3) - sqrt(7)))**2 - sqrt(77)\/sqrt(176)) + 3*sqrt(896)\/sqrt(8).\nAnswer: 16 + 47*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**5 - q**4 - 1. Let r(d) = -9*d**5 - 4*d**4 - 21*d**2 - 4. Let j(m) = 4*h(m) - r(m). Find the third derivative of j(u) wrt u.\nAnswer: 300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let x(z) = 64806*z. What is r(x(j))?\nAnswer: -129612*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148939 is divided by 5724?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6365 (base 9) to base 10.\nAnswer: 4676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a - -10c225?\nAnswer: 10c291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*f = -7, -3*t - 79*f + 75*f + 10 = 0. Let u(z) = -11081*z + 5539*z + t + 5544*z. Let n = -2 - -4. What is u(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -118, -1, 164, 377, 638?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + 1 + sqrt(7) + sqrt(7) - 2*sqrt(343)) + (sqrt(315)\/(-1*sqrt(9)))\/(sqrt(20)\/sqrt(4)*-3))*3)**2.\nAnswer: 210*sqrt(7) + 8584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 15*d**3 + 4*d**3 - 7775 - 6*d + 11*d**2 + 7786. Let h(l) = -4*l**3 - 2*l**2 + l - 2. Give 11*h(g) + 2*y(g).\nAnswer: -6*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.106 times 277.68\nAnswer: 29.43408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2121 + -6361\/3. Let b(w) be the second derivative of 11*w + 0*w**2 + p*w**3 + 1\/4*w**4 + 0. Calculate b(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366887 and 4274943?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*b = -0*b + 70, 3*h = 3*b - 210. Let p = h + 121. Suppose 0 = 5*f + 2*m - p - 91, -2*m = f - 22. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 667897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 2 - 4*b + 13*b - 8*b as x + w*b**3 + h*b**2 + f*b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61278.\nAnswer: 2, 3, 7, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -14. Let v be 36\/c*40\/12. Solve 4*x + 0*g + 4 = 2*g, -3*g + v = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415 is divided by 81.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(((-5*sqrt(4235) - sqrt(4235)) + sqrt(4235) - sqrt(4235))*-4)\/(sqrt(500) + 6*(sqrt(500)*3 + sqrt(500)) + sqrt(500)))**2.\nAnswer: 117743\/4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 0*f**4 + 0*f**2 + 1\/3*f**6 + 0*f**5 + 2\/3*f**3 + 0*f - 4. What is the third derivative of t(z) wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/63)\/((-2)\/6). Let o = 0 - 0.2. Let q = -6 + 5.6. Which is the smallest value? (a) n (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = -10. Let f be (-1)\/(-4) - (-71)\/4. Suppose f + 12 = a*w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320164751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8901)\/(-430))\/(-207)*52?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 393668168600?\nAnswer: -393668168600.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 4 (c) -100.82 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 520 = -22*z. Let t be (-2)\/((-16)\/38) - (-30)\/z. Solve 3*x - 4*d = -0*x, 0 = -3*x - t*d - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.7 - -13.1. Let r = o - 21.9. Put -3, -0.3, r, 0.09 in descending order.\nAnswer: 0.09, r, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 12. Let q = 3 + x. What is the nearest to q in 2\/5, 3, -2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 + 3*x**2 - 3*x**2)*(-x + 8*x**2 - 33 + 33) to the form w + g*x**3 + j*x + b*x**2 + p*x**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 1.47\nAnswer: -11.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1161 in 14, -7, 0.1, -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*q**4\/11 + 22873038*q**3\/11 + 107175184*q**2\/11 + 65350632*q\/11 + 10456096\/11 = 0.\nAnswer: -326753, -4, -2\/5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-8 - ((-55 - -9) + 0 - (-1 - -3)))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1040 + 266. Is 0 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16008990 divided by 5\nAnswer: 3201798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**4 + 3475032*l**3 - 3475040*l**2 - 3475032*l + 3475036 = 0.\nAnswer: -868759, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r + 16. Suppose 3 = c - x - r, c - 5*x = -1. Let p(u) = -21*u - 9. Suppose 4*i - 2 - 6 = 0. Let v(g) = 5*g + 2. What is c*v(m) + i*p(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*t - 58 = 0, 0 = -3*p + 6*p + 4*t + 121. Let g = -20 - p. Let l be 6\/g + 24\/15. Solve -3*u + u - l = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 2*q - 5, 22 = -5*q + 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-4)\/(-12)*3. Solve t = -3*u + r - 19, 3*r + 0*r = 2*u + 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*q - 849 + 1697 - 850)*(-4*q**3 + 7 - 7) as y*q**3 + a + p*q**4 + n*q + w*q**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 13 = 2*o. Let r be (-1)\/3 - o\/(-3). Suppose 0 = r*j + 25, -49 = -2*z + 4*j - 13. Solve -g + 4 = z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706.\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-15) + 30\/75. Let o(d) be the second derivative of 1\/36*d**4 - 1\/18*d**3 - y*d**2 - d + 0. Solve o(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*v + 2, 5*v + 5*x = -22 + 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445908 is divided by 430.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29162 - 103437 + 11824 = 3362*p + 91031 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, 0, -3.5 in ascending order.\nAnswer: -3.5, 0, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 1 - (12 + -12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjoorqpk. What is prob of sequence kpr?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, t: 2, v: 2}. What is prob of sequence vu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 0.5, -0.5, -64, 0, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -692 divided by -4?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - 4*d + 3*d + (3*d - 7*d + d)*(1 - 4 + 1) + 7*d + 20 - 20 - 3 + 6*d + 3.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 61.9. Let n = t - 7. Let y be 2\/(-8)*(-16)\/30. Which is the smallest value? (a) n (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5\/2 - 67*d**4\/2 - 207*d**3\/2 - 209*d**2\/2 - 35*d = 0.\nAnswer: -1, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 1592*t**5\/5 - t**4\/12 + t**2\/2 - 23*t. Let g be a(1). Let l = g - 2035. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 7*g + 12. What is the common denominator of 63\/45*(-10)\/g and -51\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18995 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 337300 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 27*o**2 - 68*o + 631. Calculate l(-30).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1556.\nAnswer: 1\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4\/v)\/(v*v**5))\/((v**0\/v)\/((v*v\/(v**(3\/11)\/v*v))\/v)) assuming v is positive.\nAnswer: v**(-14\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.708 and 2?\nAnswer: -31.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*h**3 + 6633*h + 206132 wrt h?\nAnswer: 42*h**2 + 6633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l*l**(-1\/4))\/l)\/l*l*l\/(((l*l**1)\/l)\/l))**(-23))**(-5\/13) assuming l is positive.\nAnswer: l**(805\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 196, 194, 192, 190, 188?\n\"Answer: -2*x + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/28 (b) -1\/3 (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 7}. What is prob of sequence yiy?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 8:55 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Let f = i - -1. Let a = 0.1 - 3.1. Put a, 3\/2, f in descending order.\nAnswer: f, 3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 318*l - 5200. Calculate y(31).\nAnswer: 4658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-27) + 8\/6)*2263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) 2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.034.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(95)\/(-2*sqrt(5)).\nAnswer: -sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 12. What is the remainder when (-7)\/14*846\/(-9) is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 31\/5 (b) -1.27 (c) 2\/9 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -152604 (base 12) in base 13?\nAnswer: -c655c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 760 is divided by 60.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1798560 and -65\/36.\nAnswer: 1798560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 6:05 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 13*l + 16*l = -6, 2*c = 34*l + 12 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhlclhccgclhghghl. What is prob of sequence lhcc?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s**2 + s - 1. Let i(m) = -m**3 + m - 1. Determine d(p) - i(p).\nAnswer: p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 7*m - 4532 + 4416, 2*m = -i + 36 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 - 178. Suppose -z*r = -4*g - 113, 66 = -5*r - g + 194. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18262, -36590, -54964, -73378, -91826, -110302?\nAnswer: -128800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -247 + 55. Let i = h + 191. Sort -2, i, 34.\nAnswer: -2, i, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468458 is divided by 86.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 23*v**2 - 24*v - 48. Calculate k(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23482?\nAnswer: 2, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q - 31. Let t be g(-4). Calculate the remainder when 290 is divided by 1600\/20 - (0 + t).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 800989 by -238.\nAnswer: -6731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:14 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -s + 2*n, 5*n + 0 = 2*s - 3. Let q be (-2 + 3*2)\/2. Sort 5, s, q in increasing order.\nAnswer: q, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -19*d - 87, -3288*j + 0*d - 3*d - 31 = -3284*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-one fifths of a tonne?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 2\/7, -3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b43c (base 14) in base 11?\nAnswer: 142690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 j when four letters picked without replacement from {h: 7, d: 2, v: 1, j: 4, p: 1, f: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 24. Suppose -3*r = -2*w - 12, -v*r + w = -15 - 12. Solve -14 = 5*o + r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - 11212202100?\nAnswer: -11212202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let s(w) = 4 - 13 + 1405*w - 210*w + 9. Determine s(j(u)).\nAnswer: 1195*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -146\/45 in -1, 0, 0.5, -0.1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 2*j**2 - j - 1. Let i(m) = 96*m**3 + 19*m**2 - 5*m - 9. Let g = 238 - 233. Let f(k) = g*z(k) - i(k). Find the third derivative of f(x) wrt x.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, s: 8, f: 3, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 428486951 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7821 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 11*y - y**3 - y**4 - 11*y - 2*y**2 to q*y**3 + a*y**2 + l + t*y**4 + z*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 9\/7, 3\/8?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 + -28 + 34\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - z = 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482831335.\nAnswer: 5, 7, 83, 166207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 + -1.21. Which is the closest to -0.1? (a) r (b) 0 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.058 - 2.1. Let g = k + -10.958. Let d be 12\/(-15)*5\/2. What is the second biggest value in d, -4\/3, -0.4, g?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -2*p - 9, 10*p + c = 5*p - 11 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 divided by 35143?\nAnswer: -266\/35143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 11*z - 13. Let b be s(-9). Suppose -3*m - 6 + 432 = 4*i, 410 = 4*i - b*m. What is the greatest common divisor of 15 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -89508.\nAnswer: -89508.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40c772 (base 15) to base 16.\nAnswer: 2efe02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d. Let p(k) = 717357024*k. Determine m(p(q)).\nAnswer: -1434714048*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:45 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*(-3)\/6*(12419 - (25 - -3)).\nAnswer: 2, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -907*c**3*r**3 + 9*c**3*r**2 - 2793*c**2*r**3 + c**2*r wrt c?\nAnswer: -5442*r**3 + 54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*k - 36*k + 8946 = 0. Sort -4, k, 2, 4 in ascending order.\nAnswer: -4, 2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 5*u + 0*u + (1 - 4 + 5)*(-3*u + 5*u + 0*u) + (30*u - 4302 + 4302)*(63 + 497 + 2) as f + l*u and give l.\nAnswer: 16865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 5, -35019 in increasing order.\nAnswer: -35019, -24, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -328, -976, -2258, -4390, -7588, -12068?\nAnswer: -18046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/4*p**4 + 2*p**2 + 3*p - 4 + 2*p**3. What is the remainder when 53 is divided by h(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174810984 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 + 2 - 9*v**2 + 2*v + 6*v**2. Let h be -3 - -1 - (7 - 6). Let o = h - -6. Give b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 58260 and 19420?\nAnswer: 58260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/25 in 3, -6\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-60)*2)\/(-23 - 1815\/(-75))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 93) + 983 + -902\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.231468 rounded to 3 decimal places?\nAnswer: -0.231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + 1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q + 68 = 217*i - 212*i, -2*i = -3*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30353, -30002, -29651?\nAnswer: -29300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44548.97 centuries in months?\nAnswer: 53458764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -2, -3\/5, 33?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4628 is divided by 2312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(3)*2) + 0.\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 135, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6.8, 5.4 in descending order.\nAnswer: 5.4, -3, -6.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3315 and 22447191.\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 7, -4 in decreasing order.\nAnswer: 7, 4, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (252\/(-210))\/((-6)\/10). Solve -5*o = 4*f + 16, -2*f = -x*o - 3*o + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -521.64 (b) 222 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 4)\/(6\/68). Let p = -3 - w. Let m = -43 + p. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2. Suppose -5*i = -7 - 8. Suppose -4*d + 6 = 4*c + c, 12 = i*d. Let q(w) = -7*w. Let j(h) = 29*h. Let z(a) = c*j(a) - 9*q(a). What is l(z(k))?\nAnswer: -50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 288?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 + 0 + 71*x**3 + x - 138*x**3 + 66*x**3 - x**2 - 1 to the form g*x + d*x**2 + a + z*x**4 + r*x**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -20*u + 382. Calculate y(15).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 457682, 915370, 1373058?\n\"Answer: 457688*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1907.80608 to 1 decimal place.\nAnswer: -1907.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 70 + 67 + 2*y + (1 + 4 - 3)*(-4*y + 10*y + 3*y).\nAnswer: 23*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14\/(-16) + 1)*13 and 85\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 36 = -4*l - 20, -5*l + 2*q - 61 = 0. Let u(b) = b**2 + 7*b + 4. Let s(w) = -2*w**2 - 13*w - 7. Let c(v) = l*u(v) - 6*s(v). Factor c(n).\nAnswer: (n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.36 and 760419.\nAnswer: 760419.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/4)\/(3\/(-36)). Let v be 1\/1*(-5)\/(-1). Let n = -3 + v. Solve -d + r = n*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((44\/(-165))\/(20\/(-15)))\/(7\/1)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407319 is divided by 83.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6*c + 32. Suppose 4*m - 26 = -2*y - 4, -4*y = -m - 17. Let v be j(y). Suppose -4*u = -25 - 7. Solve v*f = 4, 0 = -4*r + 2*r + 4*f - u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -19. What is the remainder when (-20 + 19)\/((-2)\/26) is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597 a factor of 492525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 255 - 249. Let w(n) be the second derivative of 0*n**2 + 0 + 0*n**4 + 0*n**5 + 4\/15*n**r - 1\/3*n**3 + 9*n. What is the second derivative of w(z) wrt z?\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 52 = -0*r. Suppose 0*o + o = r. Let l(w) = w**2 + 53*w + 643. Let f be l(-35). Is o < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106662946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 39, 5, 6, 14, 2, -2 in decreasing order.\nAnswer: 39, 14, 6, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 86493.43um?\nAnswer: 0.00008649343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fijv when four letters picked without replacement from {f: 1, i: 1, j: 1, v: 1, x: 5}.\nAnswer: 1\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9933?\nAnswer: 3, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4809 divided by 13664\nAnswer: -687\/1952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddeoececde. What is prob of picking 2 o, 1 e, and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -18. Suppose -3*x - m*g - 33 = -92, -4*g + 42 = 2*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esnzg. Give prob of sequence ns.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbdp when four letters picked without replacement from {b: 4, p: 3, d: 6}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 76 and -27.011054577.\nAnswer: 48.988945423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 1679.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -4. Let c be t + (5 + -2)*1. Suppose c*b = -5*b - 2*r - 23992, 2*b + 5*r + 9580 = 0. What is b rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/55 - (-256)\/10. Let b(a) be the first derivative of -y - 5*a - 15*a + 39*a - 2*a**3. What is the derivative of b(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 369289511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5289, 5330, 5407, 5526, 5693, 5914, 6195?\n\"Answer: i**3 + 12*i**2 - 2*i + 5278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c - 38. Let g be p(-9). Let f be ((-67)\/2)\/(1\/(-2)). Let a = f - g. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 933 = 3*i, 0 = 2*i - i - 5. Calculate the greatest common divisor of b and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 306546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-78)\/(-8))\/13*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z - 5. Let p(g) = 129*g - 81. Let t(j) = -2*p(j) + 33*r(j). Suppose 6*s - 163 = 35. Calculate the remainder when s is divided by t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 509 + -192. Let k = l - -36. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 400575010.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from {g: 9, j: 4, m: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1421463*g**2 + 2519059*g wrt g.\nAnswer: -2842926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a70b - 9aa?\nAnswer: 9921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g - 148 = -20*g - 2*g. What is the smallest value in 1\/4, g, -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 274 + -74. Suppose 2*n = -0*l - 4*l + 218, 2*n - d = 5*l. Let q = -29 + n. Is 38 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000267053716 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59982*m**2 + 324690*m**2 - 66505*m**2.\nAnswer: 318167*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 316751374 times -2?\nAnswer: -633502748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2224621 + 362?\nAnswer: -2224237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -420*p**3 - 180*p**2 - 2 wrt p?\nAnswer: -2520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 41*b**3 + b - 961*b**3.\nAnswer: -920*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, -4, -3, 1, -2256 in descending order.\nAnswer: 4, 1, -3, -4, -19, -2256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255198925 by -10207957.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l + 87. Let a be i(-10). Let h be (11\/2 + a)*112\/35. Which is smaller: 10 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*c**2*o**2 - 2*c**2*x**2 + 7*c*o**2*x**2 - 5*c*x**2 + 2*o**2*x**2 - 3*o*x**2 wrt c?\nAnswer: 124*o**2 - 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -176 - -149. Let h = -16 - u. Is 7 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -453.\nAnswer: -5\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -387, -5, 2, 6, 926, -2 in descending order.\nAnswer: 926, 6, 2, -2, -4, -5, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) - 4*sqrt(931)*2) + sqrt(931))*3 + (((sqrt(931) - (-2 + sqrt(931))) + -3)*-6)**2 + 3)*4.\nAnswer: -504*sqrt(19) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 64*c - 136. Calculate b(62).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) 3 (d) 0.4 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**3 - 1 + 2 + 0*m**3 - 9 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 95*l + 13220. Calculate u(-139).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 11 + 0*y**2 + 2*y**4 + y**2)*(2 + 2 - 5).\nAnswer: -2*y**4 - y**2 - 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117.7 - 112. Let k = 1.3 + w. Let u = 15 - k. What is the second smallest value in u, -1, 1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*g*g**(-4\/9))\/(g**0*g*g**12\/g) assuming g is positive.\nAnswer: g**(-197\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a factor of 2372297620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14131130 + -10?\nAnswer: 14131120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000908479 rounded to five decimal places?\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnm when three letters picked without replacement from qyigmiiyqinyyqiynqii?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1796810 and 470?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:00 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -449181*k**4 + 8205936 wrt k?\nAnswer: -1796724*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*f - 2*t, f = 5*f - 4*t + 16. Let j(d) = -13*d**3 - 16*d**2 + 5*d - 9. Let h(a) = -3*a**3 - 4*a**2 + a - 2. What is f*j(z) + 9*h(z)?\nAnswer: -z**3 - 4*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1)\/t)\/t)\/t)**(-1\/34)*t**(4\/7)*t**(-1\/5) assuming t is positive.\nAnswer: t**(291\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**2 - 2*m - 7. Let b(v) = 4*v**2 + v + 4. Suppose -15 = -4*p - 2*o - o, -4*o = -4. Let j(u) = p*t(u) + 5*b(u). Calculate j(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * -0.03752979\nAnswer: -0.52541706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4946899\/12255 + -12\/4085. Let i = 403 + a. Let v = -0.09 + 5.09. What is the second smallest value in i, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198217 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 11:39 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.3, 32, 5, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -11323830.\nAnswer: -11323829.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-38)\/12)\/19)\/((-1)\/(-2)). Which is the nearest to -0.1? (a) i (b) -5 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 1220?\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/12)\/(3\/45). Let j(f) = f**2 + 9. Let o(p) = -2*p**2 - 14. Calculate v*o(b) - 8*j(b).\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 4, 3205?\nAnswer: 3205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209 and 583908.\nAnswer: 6422988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-3))\/(8\/(-12)). Suppose -32 = g*h - 240. Suppose 2*k - 12 = -p + 1, 5*k + 52 = 4*p. What is the highest common factor of h and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48713341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1861, -2193, -2525, -2857, -3189, -3521?\nAnswer: -3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-84))\/((-50594)\/4319)\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 37, 4, 14 in increasing order.\nAnswer: 4, 6, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 174 = 4*c - 184, 8 = -4*m. Put 3\/8, 1, c, -0.1 in descending order.\nAnswer: c, 1, 3\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-120)\/(-4140))\/((-6)\/69)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -4*w**3\/3 + 28*w**2 + 60*w - 87. Solve k(d) = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84*113\/166110*20\/(-9)*3\/(-2).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/(-12))\/(20\/180))\/(18\/(-36)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8489 - 8485. Sort 5, a, -0.01, 8.\nAnswer: -0.01, a, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000037672155 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**3 - 15*s**2 + 15*s**2)*(0 - 3 + 4)*(406 + 320 - 60).\nAnswer: -666*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t + 3*t - 3*t)*(-30*t + 30*t - 70*t**2) - 3*t**3 + 2*t - 2*t)*(4*t - 4*t + 2*t**2) - 4*t**4 - t**5 + 4*t**4 + 0*t**5 - 2*t**5 + 0*t**5.\nAnswer: 131*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-456)\/(-33) - 2\/(-11). Let r(w) = w + 1. Let j(s) = 8*s + 6. Give o*r(z) - 2*j(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2 + 15 + k**2 + 7 + 20*k - 9*k. Let j be c(-9). Suppose b - j = -b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80607.\nAnswer: 3, 97, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:08 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 11:56 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*z**4 + 1272142*z + 1046028571.\nAnswer: 392*z**3 + 1272142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 7:15 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 58*i**2 + 56*i - 2*i**3 + 14*i - 55*i**2 + 113*i**2 to the form v + g*i**2 + c*i**3 + w*i and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242 - 238. Suppose -q = -2*h + 6329, -i*q = -4*h + 8341 + 4323. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-8)\/(-24))\/(-1 - (-488)\/486)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2590\/(-296) + -1 + (-20)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/5, 32.9 in ascending order.\nAnswer: 0.2, 2\/5, 32.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 11:06 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*t = -3, 0 = -l - 0*l + 5*t - 19. What is the closest to -2\/5 in 2, l, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 266, 3, 2, -1 in ascending order.\nAnswer: -1, 2, 3, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5*t + 39. Let g(z) = 2*z + 19. Let o(n) = 13*g(n) - 6*q(n). Let b be o(-9). Suppose -29 + 1 = -4*s. Calculate the highest common divisor of b and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 14 - 59. Suppose -f + 3 = -4*m. What is the greatest common divisor of m and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:21 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31047189 to the power of 1\/2, to the nearest integer?\nAnswer: 5572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -134.\nAnswer: 33\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-8 + 0)) + (104 - 106)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*u + 16 = 0, 0 = 5*t + 20*u - 24*u - 2. Let k = -1 - -2. Which is the second smallest value? (a) k (b) -0.2 (c) -5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 146*a = 144*a + 1407719990, -4*c = -2*a - 1407720010. Round c to the nearest one million.\nAnswer: 352000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255807, -255809, -255811, -255813, -255815, -255817?\nAnswer: -255819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t - 13. Let u be v(-4). Let a = 4 - 1. Solve j + 4*o + 14 = a*j, 5*j = 2*o + u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3) + -3)*3 + 3)**2 + (4*sqrt(136)*-1)\/(sqrt(1152) + (sqrt(1152) - (sqrt(1152) + sqrt(1152) + sqrt(1152)*2))).\nAnswer: -215*sqrt(17)\/6 + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 at least as big as 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/28, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 288113 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/16 and -50\/3727.\nAnswer: 59632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 605792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/5))**(2\/25)*((m\/(m*m*m*(m**2*m)\/m*m))\/m)**(-2\/13)*m*m\/m**0*m\/m**(2\/27)*m**(2\/15)*m**0 assuming m is positive.\nAnswer: m**(176831\/43875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8497*m**3 + 39*m**2 + 114*m + 1. Let t(i) = -16993*i**3 - 79*i**2 - 247*i - 2. Let z(y) = -7*s(y) - 3*t(y). Find the third derivative of z(v) wrt v.\nAnswer: -51000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*y**2 - 13647*y + 6845*y + 6821*y.\nAnswer: -175*y**2 + 19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.2290152 rounded to 1 decimal place?\nAnswer: -255.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 12\/5, 2\/29, 0.1 in decreasing order.\nAnswer: 12\/5, 4\/5, 0.1, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 6586125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -639.5913.\nAnswer: -255.83652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 51. What is the second derivative of -3*l - s*l + 15*l**3 + 2*l - l wrt l?\nAnswer: 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 21*q - 36, 725*f - 726*f + 5*q - 3 = 6 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 621101?\nAnswer: 621102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001456 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzpzppppppzzpppzz. Give prob of picking 1 z and 1 p.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/2*12\/2. Let s be k\/(-3) + 6 - 4. Suppose 5*y - 24399980 = -t, -3*t + s*y + 2*y = -73200008. Round t to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/4 (b) 207.9 (c) -2\/15 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869 = -254*w + 361 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-10)*(-4)\/3 + 5034\/(-16780)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/3, -26, 927, -3, 0.3 in increasing order.\nAnswer: -26, -3, 0.3, 2\/3, 5, 927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*c + 60, 3875*c - 32 = -6*w + 3879*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3795, 15149, 34071, 60561?\nAnswer: 94619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*o - 6, 4*t - 5*o = -6 + 3. Let j be t\/(6\/(-8)) + 5. Let w be -11 + -3 + j + 1. Which is smaller: -21\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*(-2*m + 0*m + 4*m) + 2 - 2*m + 3*m**2 + 2*m.\nAnswer: 7*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 610 and 110?\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -112507.300055 + 112507. Let w = x - -0.3. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 4) to base 9\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28921?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 110, 10082 in increasing order.\nAnswer: -5, 110, 10082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, t: 9}. Give prob of sequence tt.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0577 + 3.9423. What is the closest to q in -0.3, -8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -12242?\nAnswer: -12232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 335 = 71. Suppose -12*y - 23610 = -d*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3\/5 + 68924*y**2\/5 + 59388364*y + 59374580 = 0. What is y?\nAnswer: -8615, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 20842\/7, 1, -5, 2.07 in descending order.\nAnswer: 20842\/7, 2.07, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, d: 1, f: 2, r: 5}. What is prob of sequence fsf?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5 = -1. Let m be -32*o\/(-8)*(10 - 8). What is the greatest common factor of 32 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34086125 less than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c**2 - 2 + c**2 - 2 - 6*c + 8*c**2. Let a(b) = -7*b**2 + 7*b + 5. Let z(j) = 4*a(j) + 5*y(j). Let z(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5)\/2)\/(2\/(-28)) is divided by 240\/80 + (1 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.596 - 6.596. What is the third smallest value in 20.8, 1\/5, f?\nAnswer: 20.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let s(l) = 10*l**2 + 5*l - 3. Let t(w) = -5*n(w) + s(w). Suppose 0*v - 4 = 4*v. Let y(g) = g**2 + g. Determine v*t(b) + 4*y(b).\nAnswer: -b**2 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 18*l**2 + 232*l - 80. Calculate o(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbcccccpbbbbjjj. What is prob of picking 1 j, 2 c, and 1 b?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 88920.94 days?\nAnswer: 7682769216000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 46.6 (b) -4 (c) -1072\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h + 4. Let d = 18 - h. Suppose 4*x - 4*s = 0, 2*x + 3*s = -2*x + 28. Solve -x*g - g = -d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2.9. Let g = 93 + -140. Let n = g - -45. Which is the nearest to f? (a) n (b) -0.3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 1230*z**3 - 185928*z**2 + 12740704*z + 3399267456.\nAnswer: -2*(z - 117)*(z + 244)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 89, 238, 489, 866, 1393, 2094, 2993?\nAnswer: 4114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/1132242 and -47\/3019312.\nAnswer: 9057936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 63.4 + 0.04\nAnswer: 63.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22252299?\nAnswer: 3, 41, 113, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-4)\/o)\/o*o*o*o\/o**(-3))\/(o\/(o*(o\/(o\/(o**0\/o))*o*o)\/o)*o*o**(-1\/4)*o))\/((o**1*o**(-2)*o)\/(o**(-1\/5)*o*o**(1\/13))) assuming o is positive.\nAnswer: o**(-227\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-21) + 204\/126)*3. Suppose -62 = -n*r + 6. Let m(j) = -8*j + 17. Let l(t) = -3*t + 6. Determine r*l(z) - 6*m(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141 by 153.\nAnswer: -47\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19550293?\nAnswer: 7, 313, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244 by 61.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16441*r**3*w**2 - 2*r**3 - 2065*r*w**2 + 2*r*w - 3*r + w**2 wrt r.\nAnswer: -98646*r*w**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 245*j - 5098. Let i(a) = -39*a. Determine g(i(t)).\nAnswer: -9555*t - 5098","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-64.716.\nAnswer: -6.4716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -80, -4\/5, 2, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7000125 - -0.7. What is d rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/5 - 158*u**2\/5 + 156*u\/5 = 0. What is u?\nAnswer: 0, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 62, 0.1, -2.4, 3, 7 in descending order.\nAnswer: 62, 7, 3, 0.1, -3\/4, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1358311 to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*v, 4*p - 2*v = 2*v + 40. Calculate the remainder when 16 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 8\/4)*-10. Let p(o) = -10*o + 9*o**3 + 6*o**2 + 12*o**3 + 2 - x*o**3. What is the units digit of p(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.08 (b) -118 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2292273*s + 27903245 wrt s?\nAnswer: -2292273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4753666 and 18.\nAnswer: 42782994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0640802 take away 544?\nAnswer: -544.0640802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**3 + 3*t**2 + 8. Let p(j) = -7*j**3 + 0*j**3 + 3*j**2 + 9 + j**2. Let x(f) = -3*p(f) + 4*q(f). What is the first derivative of x(d) wrt d?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/8 - 68\/(-40)*(-45)\/(-54). Let q = -99 - -694\/7. Which is the third biggest value? (a) q (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-8) + (-1)\/(-2). Let w = d - -8. What is the remainder when 15 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 4*q - 29. Suppose -46*m + 45*m = -6. What are the prime factors of s(m)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + n**2)*(3 - 3 - 2*n) + (-6*n + 3*n + n)*(-2*n**2 - 3*n**2 + 2*n**2) + (n - 2*n - 4*n)*(2*n + n**2 - 2*n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2484\/(-16))\/(-27) - 2\/(-8). Let s(h) = 4*h**2 + 7*h - 12. Let r be s(-10). Calculate the greatest common divisor of x and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 5)*(5 + 20 - 3)*(a - 1 + 2*a - 6*a).\nAnswer: 66*a + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-322)\/(-35) - (-2)\/(-10). Let t be 12\/y - 16\/12. Solve -c - 4*g = -21, -2*c + 0*g - 2*g + 12 = t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82687881 is divided by 194103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014384037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 166, 162, 154, 142, 126?\n\"Answer: -2*i**2 + 2*i + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61202 + -12010?\nAnswer: -73212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4\/5)*f**15\/f)\/(f**(1\/7)*f**(-13\/4)\/f))**17 assuming f is positive.\nAnswer: f**(41191\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**3 - 2*a. Let h be x(-2). Let o = -33 - -40. Calculate the greatest common divisor of h and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11431221 - 114?\nAnswer: -11431340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183269*t**2 - 183269*t**2 - 208*t**3.\nAnswer: -208*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1175097.3829592 + 1175097. Let x = u - -0.383. What is x rounded to 6 decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11175 rounded to the nearest one hundred?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 9. Let c be (372\/9)\/((-1)\/k) - -2. What is c rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4071116 (base 10) to base 13.\nAnswer: ac705a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -122, -245, -368, -491?\n\"Answer: -123*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 159?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 21715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1610455 and 395605.\nAnswer: 3115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 - 16*l**2 + 48*l - 1. Give k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5705 + 0.4295. Put l, 22.1, 3 in ascending order.\nAnswer: l, 3, 22.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.049*-2.13\nAnswer: 0.10437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25492288 is divided by 86?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. What are the prime factors of 6 + -4 + n - -37?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4475, -9500, -14525?\nAnswer: -19550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c13c + 4?\nAnswer: -4c138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 + 11)*(2 - (7 - 74\/14))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 22*l**2 + 2*l - 38. Calculate n(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23 + 2296 + -5 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -5, 3721, 1, -17 in ascending order.\nAnswer: -17, -5, -1, 1, 4, 3721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 5. Solve 0 - p = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7940.2704 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from qrs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 5*m - 4*g + 53, 4*g + 12 = 0. Calculate the greatest common divisor of 1804 and m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 3 (c) 1 (d) 320\/23 (e) -0.1 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100000101110110001?\nAnswer: 100000101110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.069? (a) -2 (b) 4 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127234499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - 2*a - 1. Suppose 14 = -0*y + 7*y. Suppose y*u - 5*u - 3 = 0. Let l be z(u). Solve -l*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4800) + sqrt(4800) + 1 + 5 + sqrt(4800) - sqrt(4800)) + 3)**2.\nAnswer: 1440*sqrt(3) + 19281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 132 = 9*c. Let s = -29 - c. Solve -2*k - s*z = 12, 3*z + 12 + 0 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2214.981 - 22220976\nAnswer: -22218761.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 545*i - 14 = 552*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35b (base 15) in base 3?\nAnswer: 1001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/15 + 56*s\/15 - 98\/5.\nAnswer: -2*(s - 21)*(s - 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 4:50 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*((1*sqrt(144)*-5)\/sqrt(8))**2*4.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1806 by -11593.\nAnswer: -1806\/11593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -106, -6 in descending order.\nAnswer: 5, -6, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 169434*c**4 - 6*c**2 - 169435*c**4 - 8*c - 1 - 4*c - c**3 in the form u + j*c**3 + p*c**4 + s*c**2 + r*c and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22849*z = -22659*z - 2470 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*(((s\/s**(-2\/11))\/s*s)\/s)\/s*s)\/s)*s*s\/(s*(s*s**(2\/7)*s)\/s*s)*s)**(-45) assuming s is positive.\nAnswer: s**(-1845\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2287 divided by 1?\nAnswer: -2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 1. Let r be (270\/243)\/(5\/(135\/6)). Sort m, r, -1.\nAnswer: -1, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 10. Let f = -1 + 1. What is g(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.7 (c) 0.3 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53090 - 13334 = 6*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = 5*b. Let r(h) = h + 7. Let o(p) = -2. Calculate b*r(i) - 14*o(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4709 - -4786. List the prime factors of t.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -759, 12, -1, -2 in descending order.\nAnswer: 12, -1, -2, -759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1\/2, 3\/26, 6, 0.1, -2\/39?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4 - 7*f**3 + 8*f**2 + 16*f = 0. What is f?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 4*h. Let a be g(3). Suppose 4*i - 2*k - 174 = 0, 5*k = 3*i + 17 - 158. Calculate the greatest common divisor of i and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-31)\/(93\/10)*-12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 - 5*z - 5. Let n(c) = c - 1. Let v(b) = -b. Let q(i) = n(i) + 2*v(i). Calculate g(h) - 5*q(h).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -744? (a) -5 (b) -3 (c) -5\/7 (d) -0.4 (e) 1\/3 (f) 6.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-4))\/(10\/40). Sort -6, f, 1, -5.\nAnswer: -6, -5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Let z(r) = r**2 - 3*r - 2. Let k be z(h). Let g be 55\/4 - k\/8. Calculate the highest common divisor of 126 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*j**3 - 246*j**2 + 238*j**2 - 31*j**3 + 62*j**3.\nAnswer: -2*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 11 = -n. Calculate the remainder when ((-12)\/(-4) - 111)*n is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {k: 4, c: 2, h: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -1215937205*u**3 + 694821015*u**2 - 99260040*u - 20 = 0.\nAnswer: -1\/4963009, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-28))\/u)**(-14\/5)*u**18\/(u*u*u*u\/u**(6\/25)*u) assuming u is positive.\nAnswer: u**(2291\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/1)\/((-20)\/30)*24\/(-72)*20.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 16 - 4. Put 11, 5, w in ascending order.\nAnswer: w, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 7*z + 144. Give m(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*b*s**2 - 4*b*s - 908*s**2 - 3589*s wrt s.\nAnswer: 36*b - 1816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 34728740207\nAnswer: 34728740202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*c + 1740*g - 38 = 1744*g, -2*c - 17 = g for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24061 (base 7) to base 8\nAnswer: 14111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*((-21)\/(-2))\/3. Let s be 1\/(-2)*(-122 + 0). Suppose i - s = -w. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g - 5746 = 4586. What is the lowest common multiple of 63 and g?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 15 + (-12 + 9 - -7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*o - 56 + 22, 0 = 4*o - 20. Let x = 11 + -21. Let p = b + x. What is the lowest common multiple of p and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -55*q**2 + 815*q + 150 = 0.\nAnswer: -2\/11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2775 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-90))\/((-4)\/9)*30\/(-9).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 1 = -4*m. Suppose -135724911 = -m*t - 21444555. Let c = t - 46470089. What is c rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/4830)\/(22\/55)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310797 is divided by 155087.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*x - 30. Let m(i) be the first derivative of -1\/4*i**4 + 0*i + 0*i**x - 4 + 5\/2*i**2. What is the second derivative of m(z) wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 51 = 3*g, -6*g = 3*n - 2*g - 19. Let i(x) = 2*x**3 - 10*x**2 - 5*x + 5. What is the units digit of i(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 - 7 = 0, -5*h = 3*y - 28. Let d = 0 - -107. Let j be 3*16\/(-120) + d\/255. Is j at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 - 9*i + 2. Let y(r) = -r**2 + 2*r - 1. Let m be y(-6). Let k = m - -42. What are the prime factors of c(k)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -5*j - 2. What is the nearest to -0.04 in -1, j, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22317 - 22290 = -27*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:38 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2 - (39 + 1 - (-485 + 507))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 45 - 4?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 c when four letters picked without replacement from crccccccccccc?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 25. Suppose 0 = -k*g + 18 - 2. Let t(i) = -3 - 3*i - 1 - g. What is t(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 74\/5 of a litre?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from eekeekafeeeeeeff?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29458844.\nAnswer: 2, 7364711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -100 and 9.9?\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(2\/(-4) + -1). Let p be (-45)\/c - 0\/1. Suppose 2*j + p*a - 7 = 24, 19 = -2*j + 5*a. Solve -j = -l + 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17361?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/270468 and 23\/64062?\nAnswer: 962595612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 5712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28232*i - 1183*i + 60340*i + 10858*i.\nAnswer: 98247*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120825 divided by 25.\nAnswer: -4833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-6)*128\/320. Sort 3, -12, i, -0.2.\nAnswer: -12, -0.2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8718 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.93 * -0.1961\nAnswer: 0.182373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = b, 5*b - 18 = -w + 1. Let g(l) = l**2 + 2. Let u be g(0). Let a(o) = 5 + 2*o**2 + o**b + 0*o**3 + 4*o**2 - u*o**3 - 5*o. Calculate a(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 526 + -254. Let v = -76 + q. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -247 - -230. Let o = 17.5 + r. Let s = 2.5 + -3. Which is the third smallest value? (a) 5 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93*-7.\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2395.\nAnswer: 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10441510 and 4?\nAnswer: 20883020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9359 - 4544 = 1472*h + 46031 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/24 + 7*x**3\/2 + 1289*x**2. Let i(a) = -a - 22. Calculate 6*i(g) + 5*v(g).\nAnswer: -g - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*b - 17, -4*u + 17 = -5*b - 8. Suppose 0*c = -c - 4*y + 2, 5*y + 20 = -5*c. Let h = c + 6. Solve h = -5*l - u - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -223, -235, -247, -259?\n\"Answer: -12*v - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5\/8 + 114447*y**4\/8 - 513138201*y**3\/4 - 631180736643*y**2\/4 + 1026276405*y\/8 + 1262361358839\/8 = 0. Calculate y.\nAnswer: -1093, -1, 1, 19621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q + 6. Let z be p(4). Let g = z - -32. Suppose 5*b - 2*b = 195. What is the highest common factor of g and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22784592.62 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345534686?\nAnswer: 2, 7, 1637, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.293 + -1.16. Let f = -0.14 + g. Round f to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*j + 2. Let t be (j - (-1 + -2)) + 4. Let y = -4889 + 4889.3. What is the smallest value in y, -1, 1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8953 - 8940. Solve 3*l = -7*y + 2*y + t, 4*l + 6 = -2*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 84 = 336. Suppose -3*m + m = -5*o - j, 3*o = -6. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 3143*y**4\/4 - 4281*y**2\/2 - 2*y - 7114. Differentiate x(r) wrt r.\nAnswer: 18858*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -10 - 4. Suppose -3*l = -q*z + 2*l + 19, 0 = -2*z - l + 1. Calculate the highest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 9 = q, 674 = 3*q + 701 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 219*b - 224*b - b**2 + 7*b**2 + 2 in the form w*b + c*b**2 + r and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-24) - (-4)\/6. Let o = 29.1 - 29. Which is the second smallest value? (a) o (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -939 + -2?\nAnswer: -940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -52*p**3 + 2*p**2 - 1. Calculate the remainder when z(-1) is divided by 9\/(3 + (-87)\/58).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3524101.\nAnswer: 7, 19, 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002249 to 7 dps.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 38.70314 tonnes?\nAnswer: 38703140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t = 8. Let p = 0 + t. Solve -4*u - p = 3*c, 2*u + 0*c + 2*c = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 (base 8) in base 9?\nAnswer: -464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 29, 75, 141, 227, 333, 459?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.81 or 838.858?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3090 (base 16) to base 15.\nAnswer: -3a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2 + 126*l - 7. Let i(j) = 2*j**2 + 72*j - 4. Let g(m) = 4*a(m) - 7*i(m). Let d(y) = 11372*y. Give d(g(w)).\nAnswer: 22744*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 7. Suppose 30 + 22 = 4*l. Solve v = -5*z + l + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7 - 13 = 0. Suppose 5*i - 3 = -4*f, 5*f - w*i - 31 - 29 = 0. Solve 4*x - f = 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-602)\/714 + (2 - 1). Let g = -1169541175\/50644428 + 12\/248257. Let x = g - a. Find the common denominator of -3\/11 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0691 + 0.0578. Round s to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*q + 49*q + 44*q)*(4*q**3 + 13*q**2 - 13*q**2).\nAnswer: 80*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41351 (b) -4 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/((-4)\/(-138)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105268 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-42))\/(44\/(-858)) - 8\/(-56). What is the fifth smallest value in -1, -6.46, o, 2\/7, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - 22?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(-1*sqrt(6)))\/(sqrt(36)*6).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 2*a - t + 5, -2*a + t - 6 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (21 - 22)*16\/4 + 463741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -2*j + 4*h, -5*j + 294 = -4*h - 656. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258468017*o**3*u**3 + 557640*o**2*u**3 - 4*o**2*u - 22*o*u wrt o?\nAnswer: 1550808102*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*((t*t\/t**9)\/t)\/t*t)\/(t**(-15)\/t*t*t)*(t**(1\/24)*t)\/t**(2\/11) assuming t is positive.\nAnswer: t**(2075\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 7\/4, -1\/9, -2\/7, -52, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -215460 divided by 180?\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f**2 + 150*f + 159. What is q(-10)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 68 = -0*q + 4*q, -4 = 2*q. Suppose 2*n - 22 = n. Let y = n + -8. What is the least common multiple of z and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -378*a - 4. Let g be d(-2). Suppose 0 = 2*o + o + 2*i - 565, 4*o + 3*i = g. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -210780 and -0.1?\nAnswer: 21078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 607871637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - 13*t**2 + 11*t + 20. Let d(v) = 6*v - 67. Let s be d(10). Let w be x(s). Calculate the smallest common multiple of 33 and w\/6*6*-3.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o + 8. Let y be s(8). Suppose 0*v + y = 4*v. Calculate the highest common divisor of 35 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1778593.2 nanoseconds?\nAnswer: 0.00002964322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1587606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.493 + 0.32. Let l = -0.083 - f. What is l rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 144 - 102. Suppose 0*g = -3*g + k. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o + 5*g + 12, -g + 6 = -o. Let t be (3 + 3 + o)\/(-2). Solve 0 = n - t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 11. Let z be o(11). Let f = z - -18. Let r(c) = -c + 11. Let m be r(f). Sort m, -1, 0 in decreasing order.\nAnswer: m, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r = 176 + 59. What is the smallest common multiple of 93 and (r + 2)\/(35 - 36)?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-14)*35\/6 + 3 + -11. Which is the closest to j? (a) 83 (b) 1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1986832 and 69\/352?\nAnswer: 43710304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.42 - 3.58. Which is the nearest to 0? (a) m (b) -0.06 (c) 17 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 64*h**2 - 20*h + 125. What is the thousands digit of q(66)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, -0.1, 1\/6.\nAnswer: -11, -2, -0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 1, q: 1, a: 1}. What is prob of picking 1 a and 2 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -47, -94, -157, -236, -331?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-140)\/(-2*1))\/(180\/(-630)). Let v = h - -255. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from 19.45.\nAnswer: 13.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -111. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/8))\/c**(-4))\/(c**(2\/3)\/c*c**(-2\/5)*c)*(c**(-1)*c)**(2\/9)\/((c\/c**(-2\/13))\/(c\/c**(1\/5))) assuming c is positive.\nAnswer: c**(6247\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -877988 - -237?\nAnswer: -877751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 18*o**2 - 16*o + 59. Let i be l(17). Let s = 84 - i. Solve -t - s = -13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -189357, -214, -4?\nAnswer: -189357","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1663, 1767, 1867, 1963, 2055, 2143, 2227?\nAnswer: 2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/45)\/((-64)\/768))\/((-4)\/(-6)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536584 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14840953661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134525 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/72 and 77\/447.\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 39, 3\/4, 2\/23, 7\/9, 36 in ascending order.\nAnswer: -1, 2\/23, 3\/4, 7\/9, 36, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/13 - 606*a**4\/13 + 48510*a**3\/13 - 388962*a**2\/13 = 0. Calculate a.\nAnswer: 0, 9, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 + 138. Suppose s*o + 720 = 28*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) - 1*(-19 + 9). Let n(j) be the first derivative of -19\/2*j**2 + 15 - m*j. Differentiate n(k) wrt k.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-2))\/((-759)\/1380).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10ca (base 13) in base 14?\nAnswer: -c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Let l(a) = a + 3. Let p be l(3). Let c be (t + p\/15)*5. Solve -n + y + 8 = -2*y, 2*y = 4*n - c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - -71. Is 38 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stestqstqssgtqqq. Give prob of picking 2 t and 2 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581 + o - 581.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226 divided by -3.\nAnswer: 226\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 14*o**2 - 6*o. Let c be f(13). Let w = c + -69. Calculate the remainder when 50 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/(-2)*69\/138 and -5\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8850 or -46?\nAnswer: 8850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 88\/7*n**2 + 2\/7*n**3 + 0*n.\nAnswer: 2*n**2*(n - 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t**2 + t**2 - 1 + 3 - 3*t + t**3. Let z be (((-930)\/(-36))\/(-31))\/(2*(-1)\/12). Determine l(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -657*u**3 - 326*u**2 - u wrt u.\nAnswer: -3942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1546, 1550, 1554, 1558, 1562, 1566?\nAnswer: 1570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.94 and 63?\nAnswer: 122.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q - 19. Calculate o(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48235661351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 7*o + 9. Let u be l(7). Suppose -2*y + u = y. Put -4, y, 1 in decreasing order.\nAnswer: y, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483802.\nAnswer: 2, 11, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1042 or 1.1989?\nAnswer: 1.1989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-2)\/(-3) - -8. Suppose t + 10 = c*t. Is 4 a factor of (0 - 9)\/(1 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555 a factor of 6424574245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 15 - 98 - (-40 + 26).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-8))\/(6\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/9 + (-7)\/(63\/(-6)). What is the first derivative of -295 - j*q + 277 + 30*q wrt q?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*r + 358*r = -537*r + 4095. Suppose 0 = k + 4*k - 10. Solve -21 = l + 5*v, -3*v + r*v = k*l - 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-8)\/8 - (-5491)\/608).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*a + 139*a + 247*a - 77*a)*(-2*a**4 - 2*a**4 + 2*a**4).\nAnswer: -672*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 21*i**2 + 109*i + 1967. Give t(-18).\nAnswer: -967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 115? (a) -1 (b) -17\/1062 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 5:24 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11016.9306 to the nearest one hundred.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*k - 17*k - 10. Calculate the remainder when 19 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (31\/(-62))\/(17\/(-20)). What is the fourth smallest value in 1, 5, 1\/4, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 8:26 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -10. Let a(m) = -3*m**2 + 11*m - 14. Let b(t) = -8*t**2 + 31*t - 42. Let c(x) = -11*a(x) + 4*b(x). Let p be c(u). Solve -3*v = -v + p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32a37 (base 14) to base 5.\nAnswer: 12411440","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/11029 and -35\/3497?\nAnswer: 143377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4104)\/(-70))\/171)\/((-6)\/20)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -95046 divided by -2\nAnswer: 47523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37955611, -37955610, -37955609?\nAnswer: -37955608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/91 and -49\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 762 + 4369. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g - 8*g - 37*g - 20*g.\nAnswer: -33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 8 - (4 - 1)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v**2 - 6 - 4 + 17*v - 3*v + 10*v**2. Suppose i + 3*i = 36. Let q be k(i). Calculate the highest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34309556*y**2 - 31672423 with respect to y.\nAnswer: 68619112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-9))\/(b\/(b*(b\/(b\/b**(1\/3)*b))\/b))*((b**14\/b)\/b)\/(b\/((b\/(b\/b**10))\/b)*b) assuming b is positive.\nAnswer: b**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 969*v - 145009 = 971*v, 2*v - 4 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l + 1. Let m be f(-4). Let q(a) = -214*a + 16624. Let v be q(76). What is the highest common factor of v and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5472)\/855*(-5)\/4)\/(1\/(-7)) + -6?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132386.\nAnswer: 2, 37, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 10*w - 4. Suppose -13 = 6*j + 47. Calculate t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 60?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 3:19 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**7\/105 - v**6\/40 - 3*v**3\/2 + 7*v**2. Let c(q) be the first derivative of h(q). Find the third derivative of c(x) wrt x.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*(-1)\/(-4))\/(-2). Let t be 4 + -2 - (i + -1). What are the prime factors of 3\/t - (-32 + 3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4766174 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1804859 or -1804841?\nAnswer: -1804841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42665 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 203565 divided by 11\nAnswer: 203565\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = u. Is 10 a factor of u\/(-12) + (-75)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 307163576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 14946.\nAnswer: -2989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 18*k + 8. Calculate m(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35570*i**3*r**3*u**2 - 2*i**3*r**3*u + 5*i**3*r**3 + 2*i**3*u + 2*i**2*r*u + 44*i**2 + 12*i*r*u**2 - 7*r**3*u wrt u.\nAnswer: 71140*i**3*r**3 + 24*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.32 - -2.22. Let m = 1.6 - z. Which is the third smallest value? (a) 0.3 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369734779.\nAnswer: 369734779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*m + 2*m - 13*m - 5945. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21031230 - 114?\nAnswer: -21031344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 680505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4067*o**5 + o**2 + 69.\nAnswer: 244020*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 divided by -3?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/(-23) + 77\/(-21) + 8\/(-6)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77032 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -149308*l + 1343701. What is m(9)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/125 greater than or equal to 17\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.54 + 1.46. What is the closest to -2\/7 in 4, p, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 888, -1297, -4940, -10041?\nAnswer: -16600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 35.937 (b) -5 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(700\/(-120))*-7*7\/(-30429).\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -455 - -450. Let z = -5.3 - -5. What is the nearest to 4 in 0.4, n, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 110 = -289. Let r(l) = 16*l + n + 0*l + 0*l - 9*l - 6*l. Calculate r(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (-38)\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2442226 is divided by 814066.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q**2*x**2 + 46*q**2*x + q*x**2 + x**2 + 483 wrt q.\nAnswer: 4*q*x**2 + 92*q*x + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 0*o - 10\/3*o**3 + 0*o**2 - 7 - o**5 - 15\/4*o**4. Find c such that a(c) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10391 + 685 = 142*g for g.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13450 - -24?\nAnswer: 13474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2096659*g. Let c(m) = -102*m**2. Calculate n(c(r)).\nAnswer: 213859218*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15648.28kg to milligrams.\nAnswer: 15648280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -572 + 582.01. Let q = c - -1.89. Round q to 0 dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b4079 (base 12) to base 9\nAnswer: -387443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -9. Let o be w\/(-6)*(-15)\/2. Let j = o + 14. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -154 and -936491334.43.\nAnswer: -936491488.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-72)\/(-16))\/(2\/4). Suppose c + 1 = k. Solve -x = -4*h + 8 + c, 8 = 2*x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 579 and 4.\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 25\/4, -3\/2, 1, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-4) + (-49)\/(-4). Suppose 3*n + n + 8 = -4*r, 4*n + 8 = 5*r. Solve 3*c + q - 3 = r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*y = 86*y + 3685 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/75)\/((-2)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 41\/2 of a millennium?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2301687 * 0.1\nAnswer: -230168.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - (46\/6 - 4). Let x = -0.34 - -0.54. Let m = 47\/156 - 2\/39. Which is the nearest to x? (a) f (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - -0.16. What is g rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/366 - 1471\/2562. What is the nearest to -2\/17 in -0.3, 0.1, n, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2549 to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*(57\/(-42) + 2).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26457 is divided by 420?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27413? (a) 0.2 (b) -4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/5)\/x)**(-2\/5)\/(x*x**(-5)*x**(-4)\/x) assuming x is positive.\nAnswer: x**(229\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -185250 divided by 1425\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 15329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321640.4 nanograms in kilograms?\nAnswer: 0.0000003216404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209 by -3252.\nAnswer: 209\/3252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 637820172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1876 and 335?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 40490\/69?\nAnswer: 40490\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -55, -2, 5, 6, -24, 1 in increasing order.\nAnswer: -55, -24, -4, -2, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 98*y**2 - y - 176. Is a(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-15)*(-40)\/12. Factor 6*y - 3*y**3 - 6*y - 4*y**4 - 16*y - 13*y**3 - c - 24*y**2.\nAnswer: -4*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21713\/42 + 517. Let c(k) be the second derivative of -1\/7*k**2 + 0 - k + l*k**4 + 0*k**3. Solve c(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6)\/(2230\/6244)\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-158)\/(-14) - 11)\/(32\/(-28))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26810 and 8322590.\nAnswer: 58258130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4706 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.086 (b) -0.5 (c) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 92.77.\nAnswer: -185.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8999*j - 21821*j + 1 - 494*j - 84964*j.\nAnswer: -98280*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 - 889*d**4 - 13*d + 889*d**4 + 2822*d**2 - 36*d**5 - 2822*d**2 + (3*d**5 - 5*d**5 + 3*d**5)*(-4 + 5 - 3).\nAnswer: -40*d**5 - 13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -212 + 142. Let u = 400 + c. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -4. Suppose 6*t + 2*j + 101 = t, 0 = -5*t + 3*j - 86. Is 11 a factor of (t\/(f - -3))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = -2. Suppose h = -3*a - d - 29, -d = a - 5*d - 12. Let z(w) = 7*w - 13. Let l(u) = 11*u - 20. What is a*z(f) + 5*l(f)?\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 12*x**2 - x + 8. Calculate the smallest common multiple of -1 + (-818)\/(-6) - 4\/(-6) and s(-12).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:52 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -l - 47 + 61, -6*f + 30 = -l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99) + -4*-1*sqrt(99))\/sqrt(9) - ((sqrt(11) + -1)**2*-2 + sqrt(11) + (sqrt(1584) + -1*sqrt(1584))**2).\nAnswer: sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 5\/2*z**2 - 2\/3*z**3 + 0 - 4*z - 133\/12*z**4. Let p be v(-5). Round p to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431 = 2*a + 5*c + 26, 3*a - 3*c = 639. Calculate the highest common factor of 750 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -575\/4 - -143. Which is the closest to -16? (a) n (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26130\/(-1534) - (-2)\/59. What is the nearest to 2 in 0.2, 4\/9, d, -0.1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8602.\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 14) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-45) + 25\/3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o + 0 + 0)*(o**2 - o**2 - 7*o**2 + 0*o**2 + 0*o**2 + o**2 + (1 - 1 + 2*o)*(4*o + 4*o - 6*o)) to i*o + c*o**3 + q + p*o**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + a - 4, 3*a - 12 = 4*r - 0*a. Suppose r = 2*v - 5*v - x + 196, 261 = 4*v + x. Suppose 4*q = -q + v. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4\/5 - 21*k**3\/5 - 6*k**2 + 48*k\/5.\nAnswer: 3*k*(k - 8)*(k - 1)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3934?\nAnswer: 2, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5518.\nAnswer: 2, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*f = 49, 0*c + 22 = 2*c - 2*f. Suppose -3*a + 41 - c = -5*l, -4*l = -3*a + 34. Suppose i - a - 2 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4575\nAnswer: 1\/1525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffbb when four letters picked without replacement from fwfbfffwbw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + 1 + (34 - (-7 + 35)) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/340 - ((-3)\/2)\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265576609 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Let m be 0\/((c + -1)\/(-1)). Solve m = -4*j - d - 14, -d - 5 = -j + 3*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -515.\nAnswer: 4\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 u when four letters picked without replacement from {b: 1, u: 14}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 28 - 52 = 0. Let n = 73 - x. Calculate the remainder when 65 is divided by n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5306 - -5305. Which is the biggest value? (a) -2 (b) j (c) 0 (d) 0.005\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493 = 4*s + 13. Suppose -n + s = 3*n. Suppose 0*i - 2*i = -n. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 25523664.\nAnswer: -25523668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4 + h**3 - 4665*h**2 - 230396*h?\nAnswer: -12*h**2 + 6*h - 9330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/22 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -7. Let u(z) = z**2 + 4*z - 4. Let a(k) = k**2. Let m(g) = q*u(g) + 2*a(g). Calculate m(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*n + 21 = 0, -3*a + 0*n = n + 7. Let i(f) = -9*f**2 + 2*f + 1. Calculate i(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -28*a + 445. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r = 22*r + 319 - 415 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10)\/(8\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - w**2 + w**3 - 4*w**3 + 0*w**3 to the form p*w**2 + a + h*w + d*w**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.73714 decades to millennia.\nAnswer: 0.8473714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.79424m to millimeters.\nAnswer: 64794.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1478288562 divided by 3\nAnswer: -492762854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/180 + 43*t**4\/36 + 1849*t**3\/18 + 35*t**2 - 3*t - 65. Let n(c) be the first derivative of l(c). Factor n(u).\nAnswer: (u + 43)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/6)\/((-3)\/(18\/(-4))*(-8085)\/(-244860)).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4881026 and 26845643?\nAnswer: 53691286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 279\/30*-2 - 10\/25. What is the hundreds digit of (-104507)\/(-247) - (-2)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 + 90. Suppose l = 3*u - 2*l - 3, -2 = u - 2*l. Suppose 2*o - 44 = -c*i, -4*i = -u*o - o - 61. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*4)\/sqrt(8).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180*m**6 - 628*m**5 + 2*m**4 + 120*m**2 - 489*m wrt m.\nAnswer: 21600*m**3 - 37680*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -24. Let v = o + 13. Suppose -v*r + 3 + 2 = 0. What is the highest common divisor of 11 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. Let f = s + -15. What is the smallest common multiple of (12\/10)\/((-2)\/f) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389 = -2*n + 7*n - 4*v, -n - 4*v = -97. Suppose -a - 12 = 9. Let p = a + n. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-86 - 25*c**2 + 86)*(-5*c + 2*c - c)*(c + 0 + 0) as v*c**4 + p*c + y + i*c**3 + z*c**2 and give v.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 160*j + 131. Is d(26) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -9 - 16 - -8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -182726287*c**2 - 210094469*c.\nAnswer: -365452574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18404058 + -0.892.\nAnswer: -18404058.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3140, 3142, 3144, 3146, 3148?\n\"Answer: 2*y + 3138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -16 - 5) + (-17 - -35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.040763 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26923.628 - -26880. Let w = 44.6 + o. Let d = 0.028 + w. Which is the closest to d? (a) 0.1 (b) -3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**2 - 2*p - 2. Let t be 2\/((-2)\/(-7)) + -1. Suppose -12*n = -9*n + t. Determine g(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u + 0*u + 4*u)*(4 + 0 - 3)*(3*u**2 - 3*u**2 - 2*u**2) + (3*u**2 - u**2 - 3*u**2)*(2561*u + 1471*u - 3196*u) as y*u**3 + w*u**2 + s*u + o and give y.\nAnswer: -846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.323985g to milligrams.\nAnswer: 7323.985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 208968 and 4.\nAnswer: 208968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(-2 - 4 + 4)*(3 - 3 + 2)*(5 - 6 + 5)*(-5*w + 3*w + 0*w) as v + p*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 10*b + 19 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -17. Let x be 2 - (5 - u\/3). Suppose x = -5*k + 6*k - 22. What is the least common multiple of 6 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 3 in decreasing order.\nAnswer: 7, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420930 and 1080?\nAnswer: 1683720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1132214400 to the nearest one million.\nAnswer: 1132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-1))\/1*-3. Let o(n) = -7*n**2 + n + 3. Let i(h) = -3*h**2 + 1. Let a(v) = -5*i(v) + 2*o(v). Is a(r) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0362 and -0.8239.\nAnswer: -0.02982518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*0\/(3 + -4). Let j = 1 + z. Let v = -27 + 31. What is the highest common factor of j and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5720 - 62902\/11. Factor 0 - 4\/11*o + 14\/11*o**2 - 2\/11*o**5 + 10\/11*o**4 - j*o**3.\nAnswer: -2*o*(o - 2)*(o - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + x, a - 2 = -x + 2*x. Which is bigger: 1\/30 or a?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by 79.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118618942*t**3 + 44814288*t**2 wrt t.\nAnswer: -711713652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 631084?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.1, -3\/34, 2\/15?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmjkmm. Give prob of picking 1 j and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*n + 108*h - 105*h, 0 = -n + h - 10 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3434*h = -5292*h + 593*h + 137803 + 8591 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262 or -376142\/1435?\nAnswer: -376142\/1435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175151532?\nAnswer: 2, 3, 23, 29, 79, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 - 4 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210112.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -9813.42 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**5 - 174*i**4 - 1365*i**3 + 3990*i**2 + 17928*i - 38016 = 0.\nAnswer: -48, -11, -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2934\/5 - 587. Let u be 6\/15 - 72\/105. Which is the third smallest value? (a) u (b) 3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1232028 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 4*l - 19 + 43, 2*z + 3*l = 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -5 - (1 - 4) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ede when three letters picked without replacement from jeezzzadaz?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 513150 + -1151508697\/2244. Calculate the common denominator of -82\/21 and a.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/11, 4, 6, 6.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3\/(-1)) + -9. Let v(x) = x**3 + 11*x**2 + 9*x + 4. Let m be v(d). Suppose -m - 7 = -3*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4056, -16387, -37280, -67017, -105880, -154151, -212112, -280045?\n\"Answer: -47*t**3 - 3999*t**2 - 5*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 5*v + 24 + 11, 4*q + 4*v = 40 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 200957.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012987238 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + sqrt(2)) - sqrt(4)\/sqrt(32))**2.\nAnswer: 10*sqrt(2) + 153\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 8) + (-34 - -21) + 2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -70*s**2 + 4*s - 6. Let n be q(2). Let k = -3612\/13 - n. What is the closest to -2\/13 in 5, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 348372 from 431027.\nAnswer: 82655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107870 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2006, -4, 4 in ascending order.\nAnswer: -4, 0, 4, 2006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69036335.\nAnswer: 5, 2297, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/10 in 0.5, 30, 0.3, -3\/7, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyyyqyqxyyxmmym. Give prob of sequence xmxy.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i = -20. Let a be (-247)\/(-7) + (-2)\/7. Solve -4*f = -5*g + 2*g + 35, 3*f - i*g = -a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15217 is divided by 129?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -116, 178.89, 0.4, -5, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10493 (base 11) to base 6.\nAnswer: -154255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/6732 and -55\/2916?\nAnswer: 545292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 13*g**2 + 8*g - 1. Suppose -3*v - 46 = -4*z - z, -2*z + 52 = -4*v. What is the tens digit of h(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 18. Let q be w(0). Let s = -12 + q. What is the greatest common factor of 9 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(3)*-1) + -1 + sqrt(6)\/sqrt(18))**2*3.\nAnswer: -14*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - u - u)*(2*u**3 - 3*u**3 + 2*u**3) + 0*u**4 + 2*u**4 - u**4 + (u**3 + 2*u**3 - u**3)*(2*u - 4*u + 0*u).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 224 = -5*l, -4*l + 178 = -3*z + z. Calculate the remainder when 1159 is divided by l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509 a factor of 513194525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - o**2)*(1 + 1 + 2)*(12*o - 2*o + 9*o + 4).\nAnswer: -76*o**3 - 16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 194*c - 4344. Determine t(21).\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13215*z**4 - 158574*z**3 - 594747*z**2 + 8140170*z + 3696 = 0.\nAnswer: -7, -2\/4405, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/7)\/((-10)\/35). Let i be (3\/(-2))\/(g\/(-16)). Find the first derivative of 4 + 3*r**4 + 4*r**4 - r**i + 0*r**4 wrt r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 + 11 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(75) + 1)*5 + 2*sqrt(75) + 2)**2 + (1 + sqrt(432) - (0 + sqrt(3)*2) - ((sqrt(18)*-1 + sqrt(18))\/sqrt(3))\/sqrt(2)).\nAnswer: 640*sqrt(3) + 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 3. Let q = -54 - -56. Suppose -18 = -k - 4*u, 5*k + q*u = -13 + 49. What is the smallest common multiple of k and f(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 323 and 2941?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 3:17 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 47. Let x = -23 + w. Let a be (6\/(-9))\/(22\/(-396)). Calculate the greatest common divisor of x and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/54)\/((47*19\/(-5358))\/((-3)\/6)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*k**4 - 4*k**3*s**3 - k**2*s + k*s + s**3 - 443 wrt k?\nAnswer: 1056*k - 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from qrqquqqqeqrr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*h = 549, 4*h - 5*h = 4*x - 723. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -15, 3, 55, 153, 309, 535, 843?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 - 584*t + 5. Let q(w) = 4*w**2 - 592*w + 6. Calculate -4*k(b) + 3*q(b).\nAnswer: -4*b**2 + 560*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 45 = 5*b. Let o = 69 - 64. Let x(k) = -3*k - o*k + b*k. Let y(d) = d**2. Give y(x(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 15 = -6*s. Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4657 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 + -0.15. Let s be 5 - (1755\/24)\/15. What is the second smallest value in s, l, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 672*v**5 - 675*v**5 - 495*v**5 + (v**4 + 2*v**4 - v**4)*(-2*v - 3*v + 3*v).\nAnswer: -502*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**5\/3 - 7*v**2. Let c(f) = 2*f. Determine c(p(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p - 127. Let t(m) = -m**2 + 6*m - 127. Let i = 223 - 225. Let v(h) = i*o(h) + 3*t(h). Find the first derivative of v(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2473163, 9892586, 22258273, 39570224, 61828439, 89032918, 121183661?\n\"Answer: 2473132*a**2 + 27*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 0*c - 2*c + 5*c. Let d(k) = -7*k - 4. Let v(g) = 9*g + 5. Let a(m) = 5*d(m) + 4*v(m). Give a(y(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373.28634 seconds to hours.\nAnswer: 0.10369065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6017050454 and 0.1.\nAnswer: -6017050453.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 477 + 3*t - 475 + 110*t**2 - t in the form k*t + u*t**2 + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 35698 = 4*h, 2*h - 23431 = 4*t - 5549. List the prime factors of h.\nAnswer: 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 5) + -1 + (1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sws when three letters picked without replacement from {w: 2, s: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113226 is divided by 569.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 22*o**2 - 28*o - 3*o**2 + 7 - 8*o**2 - 6*o**2. Let u be y(10). What is the greatest common divisor of 12 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -483.91 - -392.1. Let t = h + 91. Round t to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**3 - 4*k**2 + 4. Let m be u(-2). Suppose -3*z + 1 - 3 = 2*q, 0 = 5*q - z - m. Solve p + 3 = q*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76993, 307958, 692899, 1231816?\n\"Answer: 76988*h**2 + h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3382*o*z**2 + 19*o*z - 112*o + 77121134*z**2 wrt o.\nAnswer: 3382*z**2 + 19*z - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 309*x + 127. What is j(0)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (79\/2 - 4)*2. Let w = 225 - j. List the prime factors of w.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**12*p*p**28)\/((p*(p**(-1\/13)*p)\/p)\/p**(-13)))**45 assuming p is positive.\nAnswer: p**(17010\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 845077784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + (-1360)\/128)*-8. Let c = -15 + 19. Let s be c*-4*(-4)\/32. Solve -3*y = -s*y - l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*t - 1)*(0*t + t + 1 + t).\nAnswer: -6*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 6*n**2 - 13*n + 5. Let b(c) = -2*c + 1. Let r(k) = 6*b(k) - q(k). Calculate r(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 17. Let r be v(-15). Let p = -11 - r. Suppose -2*i = p*i. Which is bigger: i or -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8 = 1. Suppose x*u = u - 6. Let c(q) = -8*q - 3. Is c(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7579679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 6240 - 9094 = 0. Calculate the remainder when u is divided by 220.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 138*k**2 - 3*k - 55. Let x(i) = -184*i**2 + 4*i + 72. Determine -13*f(l) - 10*x(l).\nAnswer: 46*l**2 - l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/102 and 71\/22920.\nAnswer: 389640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 - 1305912*o - 158560*o.\nAnswer: -1464472*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000957 to six dps.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31404 - -145567. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.663486 millennia in decades?\nAnswer: 766.3486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, y: 3, u: 3, s: 4, c: 1, e: 6}. Give prob of picking 1 u, 1 j, and 2 s.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 22562757.\nAnswer: 8\/7520919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 3) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 244474977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -3*v + 5*j, 66 = v - 0*j + j. Let t = v - 57. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16712708941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 644339783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 12, 698?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58405.094 rounded to the nearest 100?\nAnswer: -58400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36632 or -146529\/4?\nAnswer: -146529\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66851044 divided by -24778.\nAnswer: -2698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s - 8. Let j = s + 32. List the prime factors of j.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 87*f**2 - 47*f + 114. Is u(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (1*(-1 + sqrt(2736)))**2.\nAnswer: -24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 11:12 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -327.8 - -327.8495. What is the third smallest value in n, -4, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 494, 1126, 2020, 3182, 4618, 6334, 8336?\nAnswer: 10630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0.2, -678, -0.2 in decreasing order.\nAnswer: 4, 0.2, -0.2, -1, -678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*h + 13*h**2 + 125*h.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -3\/8*h**3 - 3\/280*h**7 - 1\/32*h**4 + 1\/80*h**6 + 40*h**2 + 0 + 0*h + 3\/40*h**5 - 1\/448*h**8. Let n(p) = 0. Calculate p.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -33*r + 29*r - 7 + 1 - 2 + 1. Determine b(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 2*m**2 + 3*m**2 - 2*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 + -88. Let j = 177 + g. Let x(o) = o**2 - 11*o + 15. Let i be x(-9). Calculate the highest common factor of j and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 830943 or 830944?\nAnswer: 830943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 36*u - 43*u - 770 = 0 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*0.0754\nAnswer: -0.04524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 228 = 3*s, -4 = -4*u + 8. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1667 - 2382 - 1861)*(4*p - 6*p + 4*p)*(-p + p + p**3).\nAnswer: -5152*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99.9 or 66\/7?\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -572, -1\/8, -4, -3, 18.3 in ascending order.\nAnswer: -572, -4, -3, -1\/8, 18.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {a: 8, g: 2}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 2*k = -7*r - 374, 2*k - 2 = 0. Suppose r*z - 92*z = 29. What is the remainder when 171 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**6\/w**(5\/3) assuming w is positive.\nAnswer: w**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 278438041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11713 (base 8) in base 12?\nAnswer: 2b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(475) + 1)**2*2.\nAnswer: 100*sqrt(19) + 4760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(342) - (sqrt(4598)*-2 + sqrt(38)))\/(-5*(sqrt(2) + sqrt(128)*-2)).\nAnswer: 6*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 2 + -5 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 57 = -113*m + 110*m, 2*m - 40 = 4*v + 6*m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 2.686.\nAnswer: -37.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 2160?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -2, 11, 42, 97, 182, 303, 466?\n\"Answer: l**3 - 6*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/8*(-6120)\/1620*690\/(-85).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 6. Sort -1\/4, g, 0.1 in descending order.\nAnswer: g, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 694703*c**3 + 490261*c + 3 wrt c?\nAnswer: 4168218*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-4) + (-10)\/((-40)\/6). Suppose 16 + 96 = n*y. Solve 5*g - y = i - 5*i, 0 = 2*i + 4*g - 20 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -22. Suppose -1 = 3*y - v. What is the second derivative of 36*c**2 - 36*c**y - 4*c**5 - 2*c wrt c?\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**3 + 3812732*q**2 - 7625458*q + 3812728 = 0. Calculate q.\nAnswer: 1, 1906364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by 3629708?\nAnswer: 16\/907427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6601 and -1181901321.\nAnswer: -1181907922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - -6 - ((-4 - -2) + -3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Suppose -5*c + 4*n = -22, 6*c - 20 = 2*c + d*n. Suppose 0 = c*w - 2*z - 6 + 4, w + 11 = 4*z. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - -2. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1250 - 117.11777?\nAnswer: -1367.11777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 237*i = -2*y + 240*i + 107, i = -14*y - 50 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*k = -791, -5 = -3*k + 4*k. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36001, -31918, -27835?\n\"Answer: 4083*w - 40084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(2 + -2). Suppose 0 = -2*z - 3*h + 73, 5*z - 2*h - 217 = 2*h. Suppose -45 + z = 2*b. Put 3, x, b in ascending order.\nAnswer: b, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {d: 9, v: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2056 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10, -9, -6, -1, 6, 15?\n\"Answer: w**2 - 2*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/3))**(2\/45))**(-38)\/((z*z*z**(-1))**43\/(((z**(-4\/5)*z)\/z)\/(z\/(z\/z**(4\/5))))) assuming z is positive.\nAnswer: z**(-1265\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/4 + 1211*f**2\/4 + 12505*f\/2 + 5950.\nAnswer: (f + 1)*(f + 20)*(f + 1190)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3) - 3 - (-25 + (-3798)\/(-162))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m**2 - 20*m + 6. Let u(q) = q**2 + q - 1. Let c(x) = -s(x) - 6*u(x). Let t be c(-5). Factor t*a + 2*a + 4*a**3 - 3*a - 36 + 8*a + 20*a**2.\nAnswer: 4*(a - 1)*(a + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0*g**2 - 2*g**2)*(-3*g**2 + g**2 + g**2) + 3*g**2 + 63*g**4 - 29*g**4 - 32*g**4.\nAnswer: 3*g**4 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1\/y**(-1\/7)*(y**10*y)\/y*y**(3\/7))**(24\/11))**(-3\/2) assuming y is positive.\nAnswer: y**(-2916\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k**3 - 2 + 11*k**3 - 1.\nAnswer: -29*k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 8, -2\/7, 1\/4, -3\/2582, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95474 is divided by 8678.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2*r)**(1\/36)\/(r\/(((r\/((r*r\/r**11)\/r*r))\/r)\/r))**(-7\/3))**(3\/10) assuming r is positive.\nAnswer: r**(-39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -223530351 (base 6) to base 14\nAnswer: -78ac67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 22 + 65 = 0. Let r = -30 - o. Which is greater: r or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387.1 rounded to the nearest ten?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b + 3. Let j(n) = 2*n - 1. Let m(v) = 3*j(v) + w(v). Let s(f) = f**2 - 11. What is m(s(z))?\nAnswer: -3*z**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, y: 4, c: 2}. What is prob of picking 2 c, 1 w, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*h - 0*h. What is the remainder when (-10)\/(-30)*(-1)\/(1\/(-216)) is divided by h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21201486?\nAnswer: 2, 3, 3533581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -165 + -22ce?\nAnswer: -2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 54*z**2 + 199*z - 99. What is y(50)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258 greater than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11992 divided by 2.\nAnswer: -5996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 312 = -5*i - 15, 4*p - 262 = 2*i. Suppose 4*t + t - p = 4*s, 4*s + 8 = 0. What is the highest common divisor of 60 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4047 divided by 13?\nAnswer: -4047\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 9 - 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 3 + 4 - 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 13. Let u = -1 - -0.9. Let l = 74 - 74. What is the nearest to l in d, u, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12928 is divided by 4305.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -40e4 + 35?\nAnswer: -40af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z**3 - 3*z)*(-4*z - z + 6*z + (1 - 2 + 0)*(-6*z + 18 - 18 + (1 - 1 - z)*(-2 - 4 + 4))).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29948, 15.47, 0.1 in decreasing order.\nAnswer: 29948, 15.47, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3222 = 5*u + a, -6*u - 5*a = -u - 3230. Suppose -u = -4*i + 1020. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.365 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*a - 346 = 0, 5*l + a = 275 + 162. What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1956\nAnswer: 3912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8503*t + 488*t**2 + 8502*t - 53*t**2 to i + c*t + k*t**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 458491, 458485, 458481, 458479?\n\"Answer: x**2 - 9*x + 458499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2189471901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 56*m**3 - 4*m + 0 + 62*m**3 + 2*m**2 + 2 as d*m + p*m**3 + j + a*m**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 108 = -4*h, -h - h - 3*r + 46 = 0. Let q = -8 + h. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 8*l + 35. What are the prime factors of b(11)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 63a + 182?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 384 - 370. Let z(l) = 13*l + 0*l - l**2 + 9 + 5. Let j be z(g). Solve -3*r = -j*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 2) + 6 + (-3 - -8 - 36)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585133*0.4.\nAnswer: -234053.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 divided by -212686?\nAnswer: 270\/106343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -23*i - 17. Suppose 7*b - 3*b = 36. Let l(s) = -4 + b - 6. Let q(j) = 4*l(j) - z(j). Differentiate q(h) with respect to h.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1083*n**2 + 873*n**2 - 474*n**2.\nAnswer: 1482*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 3*v**2 - v + 2. Let r be h(2). Suppose -r*q = -3*z - 9*q + 29, -4*z + 16 = q. Solve 4*n + 5*d - 6 = -33, 5*d + 6 = z*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3946 - 15685\/4. Suppose -3*g - 12 = 0, 2*m - 4*g + 4 - 12 = 0. Calculate the common denominator of a and m\/10*(2 - 33).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 17*a**2 + 3*a - 2. Calculate c(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*a - 180*a - 4*a**2 - 62 + 794*a**6 + 2*a**2 - 4*a**2 wrt a?\nAnswer: 95280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**2 + 2*j**2)*(-3*j - 2*j + 2*j) + (5*j**3 - 5*j**3 - 5*j**3)*(5 - 4 - 2).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(300) + sqrt(300))**2*-5.\nAnswer: -6005 - 200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 59*n**2 + 2*n + 2. What are the prime factors of w(-1)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 175122 * -0.1263.\nAnswer: -22117.9086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -3, -47, 6604, 2, -2 in ascending order.\nAnswer: -47, -4, -3, -2, 2, 3, 6604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/4)*g**(1\/8))\/(g*g*(g*g**(1\/3)*g)\/g)**(-17) assuming g is positive.\nAnswer: g**(1321\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7178.47 litres in millilitres?\nAnswer: 7178470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 165551, 163570, 161541, 159440, 157243?\n\"Answer: -4*t**3 - 1953*t + 167508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + -4 + 125 + (99 - 190).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 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: Express -65*t - 38*t + 40*t as o*t + b and give o.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/4 - -3\/4. Let j = -31086 + 31086.1. Let k = -8\/27 + -10\/27. Which is the biggest value? (a) i (b) j (c) 4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 3)*(0*x**3 + 4*x**3 + 4*x**3) + x**3 + 3*x**3 + 5*x**3 to h*x**3 + c*x**2 + w + n*x and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*o - 3010 = 5*b, 0 = -3*o + 15. Let y = -574 - b. Solve 5*l - 7*d + 2*d = -y, 0 = -3*l + d - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1747386 or -19221256\/11?\nAnswer: -1747386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 0*f**2 + 0 + 0*f**3 - 1\/12*f**4 + 3*f. Let x(t) = -11*t**2. Calculate x(s(v)).\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + 2*a)*(-21*a + a + 0*a).\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 26\/4 + (-175422)\/(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**3\/6 - 19*k**2. Let m(a) = a + 7. Suppose x - 9 = -2*x. Let z(f) = x*n(f) - m(f). Give z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-43))\/3)\/(791\/1582).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 4) to base 11\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (3 + -2))*-1. Suppose -4*r = 5*k - 116, 4*r + n*k - 58 = 46. Let h = 68 - r. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {u: 2, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1310, 132, 2550, 5956, 10362, 15780, 22222?\n\"Answer: 2*j**3 + 476*j**2 - 1788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + -2 + sqrt(1900) + 4.\nAnswer: 6 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 18) + 8 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -134?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 591494064 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 14 = -0*x. What is the remainder when x is divided by 8\/(-20) + (-22)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/114*(-1)\/((-122)\/8).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**9)\/(b*(b\/b**(-3\/10))\/b))\/(b\/(b*b**(-21\/2)*b)*b)**18 assuming b is positive.\nAnswer: b**(-1983\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u**2. Let c(o) be the third derivative of -2*o**4\/3 - o**2 - 58. Determine m(c(q)).\nAnswer: -2048*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110110001111010100 (base 2) in base 3?\nAnswer: 10212111220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 24*i - 40*i**2 + 39*i**2 - 9*i**3 + 12*i**3 to k*i**2 + c + h*i**3 + l*i and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 2*g**2 + 4*g - 6. Let d be 24\/2 + (43 - 38) + -17. What is u(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3106 is divided by 1484.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201421 (base 6) in base 15?\nAnswer: 13821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6102949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 44*h**3 - 3*h**2 + 3*h - 5. Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 + -1?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 14 + (-1 - (2 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 135*y. Let h(s) = -548122*s. Determine p(h(k)).\nAnswer: -73996470*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 5904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 5*q**2 - q - 3. Let a be p(-5). Suppose 6*x - a*x = 16. Suppose 0 = w + x*w. Which is smaller: -2\/11 or w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(-7 + -3). Let o(t) = 5*t**2 - 11*t**3 - 2*t + 10*t**3 - q + 16. Determine o(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.3 + -1.3. Let i = s - 8.0000004. Round i to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31069745 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 55*d**2 - 62*d + 141. Calculate the lowest common multiple of 48 and y(-54).\nAnswer: 9168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131230*b**6 + 3*b**2 - 233798*b?\nAnswer: -15747600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 44. Suppose 0 = -y*d - 4*j + 96, -5*j - 5 = -0*j. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -2 - -18) + (25 - 17) + -8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 5) in base 2?\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -896 + 901. Let x(d) = -19*d. Let b be x(-1). Solve -1 = c*i + b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 14. Suppose 0 = r + 2*s - i - 5, -s + 3 = 0. Let t be (45\/12 - 3)*r. Solve 5*z - 3 = -t*y - 12, -4*z = -y + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215*g**3 - 335*g**2 wrt g?\nAnswer: 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 684*c + 5896*c - 404*c + 730*c as y + s*c and give s.\nAnswer: 6906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9850 divided by -813.\nAnswer: 9850\/813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*o - o - 2*o)*(-2*o + 0 + 0)*(-2*o + 0*o + o) in the form v*o**2 + h + a*o + w*o**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + 1 + -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyjjgxjjjyjgyyjjxj. What is prob of picking 3 y?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/91, 4, 0, -4, -3\/2, 9\/328, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -0.2. Let i = -1.55 + 1.25. Put y, i, 1\/5 in descending order.\nAnswer: 1\/5, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*x + 5, -6*m - 9 = 3*x - m. Solve y = 4 - x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 1. Let c(i) = 15*i + 15. Let v(d) = 2*c(d) + 33*o(d). List the prime factors of v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (64 - 72) + (-3665)\/(-430) and 2 + 9*11\/10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/3, 0, -0.5, 1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let n = -8 - -7. Let f(h) = h. Let z(p) = p + 1. Let q be z(-3). Let g(k) = n*f(k) + q*y(k). Let i(o) = 6*o**2. What is g(i(v))?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*j - 20*j - 89*j**2 + 34*j.\nAnswer: -89*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/3)\/w**0)**46\/((w*w**(-2\/11)\/w*w)\/((w**0*w)\/w))**(3\/16) assuming w is positive.\nAnswer: w**(-32465\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (sqrt(396) + -1)*5)**2*-1.\nAnswer: -9925 + 300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11893 + -11915. Sort 0, 3, -5, c, -4 in increasing order.\nAnswer: c, -5, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 2 = 3*v + 25*x - 0, 2*v - 7*x + 25 = -2*x for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87 and 1388916?\nAnswer: 40278564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 46 = 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -3*i + 123. Suppose -16*c + 4 = -i*c. Calculate the remainder when 22 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -138, -242, -378, -552?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 9*w**2 - 2*w + 408. What are the prime factors of l(0)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 13156?\nAnswer: 39468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47525 + -4?\nAnswer: -47530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4809725 + -2.2\nAnswer: 4809722.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.4 (b) 3 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t + 2. Let s = -4 + 19. Let x = 13 - s. Let v(j) = -2*j + 1. Calculate x*b(y) + 5*v(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -270*a + 5. Determine c(1).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(18))**2*1.\nAnswer: -6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 2, k: 4, z: 1, r: 2, p: 4}. Give prob of sequence vrw.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 69*u - 1826. Give c(24).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64320 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o + 228 - 80 + 76 = -4*j + 16*o, 0 = -6*o + 24 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 7 - 0) + 29?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -11, -7, -1, 7, 17?\n\"Answer: g**2 - g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 15 - 4. Suppose i = p - 4*h, 5*h = -2*p - 0*p - 17. Is 4 a factor of 23\/(0\/4 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*i - 22305 = -r, 5*r + 2*i + 37190 = 0. Calculate the common denominator of r\/(-315) + (-4)\/14 and -61\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-14 + 1 + 4)) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 2, v: 13, b: 3}. Give prob of sequence cv.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 3 - 3)*(-1 + d + 1) + 2*d**2 + d**2 - d**2 - d + d - 5*d**2 in the form y*d**2 + k + s*d and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29112136 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, t: 3, l: 1}. What is prob of picking 1 t and 1 x?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50 + -392b?\nAnswer: -38cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-20))\/(1\/10). Factor 4\/11*t**4 + 0*t + 0*t**j + 2\/11*t**3 - 16\/11*t**5 + 0.\nAnswer: -2*t**3*(2*t - 1)*(4*t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 6*l + 2. Let r be g(5). Suppose -54 = -5*a + 331. Let i = r + a. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 228\/5 - 1 - (-489)\/(-815). What is the greatest common factor of 374 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14924893 is divided by 162.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29435\/44 + 2689\/4. What is the common denominator of 114\/27 + 1\/(-1) and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5508008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 80041*w - 8*w**4 - 80050*w + 10*w**4 + w**2 + 2 - 118*w**3 in the form h*w + f + j*w**3 + x*w**4 + g*w**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/17 + 2544*c\/17 + 20224\/17 = 0.\nAnswer: -1264, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.08, 3, 1 in increasing order.\nAnswer: -0.08, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r + 4 = -2*p, -5*r + 3*p + 6 = 0. Sort 6, r, -5.\nAnswer: -5, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmmv when four letters picked without replacement from {v: 4, m: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 + 36764?\nAnswer: 37017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 + 7*h - 17. Let p be 16\/128 + 228\/(-32). Give f(p).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 9) to base 13.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 265.3.\nAnswer: 265.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 10)*(-3 + 2 + 0)*(3 + 5 - 3)*(-2*k - 3*k + 7*k)*(13*k**2 + 17*k**2 - 15*k**2) as v*k**3 + p*k**2 + h + y*k and give v.\nAnswer: 1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 602 + 46. What is the highest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -420, -1081, -2198, -3783, -5848, -8405, -11466, -15043?\n\"Answer: -2*w**3 - 216*w**2 + w - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -436, -1620, -3602, -6382, -9960, -14336?\nAnswer: -19510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (49\/(-28))\/(3129\/(-1192)). Determine m, given that -2 + 4\/3*m - 4\/3*m**3 - i*m**4 + 8\/3*m**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + q + 0*q = 1121, -3*z + 1133 = -2*q. Find the common denominator of z\/8*10\/45 and 5\/60*39\/(-26).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4*f - 52, 1440*u - 5*f + 50 = 1445*u. Solve -u*q = -8*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 9 - (-2111 - -2081).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*f - 4, 2*a - 16 = 452*f - 456*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 12:44 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000107740695 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -17*p**2. Let j(m) be the second derivative of -m**3\/6 + m - 3. Give v(j(t)).\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 31. Let l = -13 + o. Which is the third biggest value? (a) 2\/7 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17909\/15 - 1194. What is the biggest value in 8\/7, 0.3, m?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6566528 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 561930 to the power of 1\/2, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 34*n = -7 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116309658*o**3 + o + 116309625*o**3 + 2*o - 3*o.\nAnswer: -33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2107056 and -127\/37626.\nAnswer: 2107056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2299)\/(-95) - 2\/10 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -239446645\/752 + 318413. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*u + 199, 8*z + 168 = 4*u + 7*z. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-4) - -4) + 85.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*g - 24 = -102*g. Let o be (g\/(-6))\/((-5 - -10)\/50). Factor 0*z**2 - 2\/15*z**3 + 8\/15*z**o - 2\/5*z**4 + 0 + 0*z.\nAnswer: 2*z**3*(z - 1)*(4*z + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.06, 384595, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**38)**(-3\/7)\/((a*a**(-45)*a)\/((a*a\/(a*a*(a*a**3)\/a*a)*a)\/a*a)) assuming a is positive.\nAnswer: a**(163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-140) + (-260)\/(-182) - (2 + 7\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1133449?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43894126 divided by 2.\nAnswer: 21947063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-4) - (-1786)\/16*10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641487?\nAnswer: 3, 7, 11, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 222 + 48. Calculate the lowest common multiple of 3 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 13*i**2 - 5*i + 22. Let a(h) = -6*h**2 + 2*h - 9. Let f(b) = -9*a(b) - 4*r(b). Let w(x) = -3*x**2 - 3*x + 13. Calculate -5*f(c) - 3*w(c).\nAnswer: -c**2 - c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 147163 or 0?\nAnswer: 147163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a7a34 (base 12) in base 14?\nAnswer: -c32ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.58 + -32.6. Let j = 0.02 + s. Let a = j - -4.9. Is a <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 871 in 3\/52, 12.8, -3\/4, -5?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3165434*c**5 + 22*c**3 + 2*c - 1360928?\nAnswer: -63308680*c**3 + 132*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*i**2)*(7*i**2 - i**3 - 11*i**3 + 10*i**3).\nAnswer: -4*i**5 + 14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1176 and 672?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 1:07 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1155)\/44)\/((-27)\/3384).\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.3, 5, -2\/21, -2\/3, 39607.2, -2\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 + -59. Let d(y) be the third derivative of 1\/120*y**z + 1\/20*y**5 - 2*y**2 + 0*y**4 + 0 + 0*y + 2\/3*y**3. Give d(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 504 = -6*j. Let b = 78 + j. Differentiate 10 - 5*r**4 - r**4 - b*r**4 + 4 with respect to r.\nAnswer: -48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.67836 to three decimal places.\nAnswer: -1.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -18 - ((-2 - 1) + (-6 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 11:27 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -7*s + 3*s, -4*h + 26 = -5*s. Calculate the highest common divisor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/18179 and -143\/8394246.\nAnswer: 411318054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 509 + -504. Suppose 2*d = -3*p + 62, -2*d + 2*p + 56 - 14 = 0. Put -4, d, t in descending order.\nAnswer: d, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = v - 4, 0*v + 2*v + 2 = -l. Suppose b + 1 = 5*j, -l*j - 5*b = -5*j - 17. Let x = -8 + 5. Sort 4, j, x.\nAnswer: x, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31050 (base 6) to base 3\nAnswer: 12200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 37 = -43. Let a(y) = -y**3 + 5*y**2 + 5*y - 6. Let h be a(4). Calculate the highest common factor of h and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 30 = -2*z. Let l(a) = -a**2 - 6*a. What is l(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1590 divided by 1.\nAnswer: -1590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1361 - -2509. List the prime factors of z.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 17*j - 42. What is the smallest common multiple of 9 and t(-9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -27*p - 1. Which is the third smallest value? (a) -81 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 31*t**2 - 87*t + 66. Let i be r(-18). Solve -i = 3*d - 3*g, 0 = -3*d + 4*d + 3*g + 8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 7*g**2 + 3*g + 2. Let p be c(-6). Suppose s = -s + p. 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 the remainder when 2244 is divided by (-4 + (-1352)\/(-65))\/((-9)\/(-240))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b**2. Let j(i) = 7*i**2. Let d(z) = -6*g(z) + 14*j(z). Let v(a) = -2*a. Give d(v(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1869, -3686, -5493, -7284, -9053, -10794, -12501, -14168?\nAnswer: -15789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184443454 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {g: 1, a: 6, w: 4, o: 8, r: 1}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 490 and 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2, -2*j + 8*h - 7*h + 92 = 0. What is the highest common divisor of j and 1395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7704.92 rounded to the nearest 10?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(432) - (-4 + sqrt(432) + 2 + sqrt(432)) - (-6*-5*sqrt(432) - sqrt(432)))**2.\nAnswer: -2332824 + 8640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 385896 divided by -6891?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 319 or 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 4.1. Let b be 1\/(-6) + (-122)\/(-12). Suppose -3*y = -25 + b. What is the closest to 0.2 in 2\/5, h, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/6 + 16\/(-6). Let v(m) = -10*m**2 - m + 1. Let g be v(1). Let x = y - g. 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 5590.051ng in tonnes?\nAnswer: 0.000000000005590051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 114854371 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 117\/15*((-13202)\/138)\/41.\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/21 + (-4)\/14)\/2. Suppose d = j + 2*w - 5*w - 102, w - 94 = -j. Let r = j - -9. List the prime factors of r.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:11 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p**5\/4 - 282441*p**4\/4 + 50424*p**3 + 443825*p**2 + 121044*p = 0. Calculate p.\nAnswer: -2, -2\/7, 0, 3, 40348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16608 - 94.42392. Let p = 1.59 + u. Let k = -89 - p. What is the third smallest value in -1, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1530225, -1530223, -1530219, -1530213?\nAnswer: -1530205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53449829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017118 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13084.3 decades to centuries.\nAnswer: 1308.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-6)\/(18\/15) - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 15. Let o be g(12). Solve -5*k = 4*l + 24, 3*k - o*l = 7*k + 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 9*h**3 + 9*h**2 + 2*h + 2. Let n(a) = 28*a**3 + 28*a**2 + 7*a + 7. What is -2*n(m) + 7*q(m)?\nAnswer: 7*m**3 + 7*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 0 - -1 - 0. Suppose -5*k = a - 16. Suppose 4*m + 68 = 5*p, k*p - 34 = -0*m - m. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-8)*f*f**(-3\/4))**(-2\/31)\/((f*f**(-1\/4)\/f)\/((f*f\/f**(-1\/3))\/f))**(-35\/2) assuming f is positive.\nAnswer: f**(-21059\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26429 and 4199?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-300)\/14 - 2*(-18)\/84. Are l and -36 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141873 divided by 361\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 - -3 - 1. Let m(g) = 77*g**2 + g - 1. Let t be m(z). Let u = t + 330. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15428464 divided by 66502.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 381*w**3 - w. Let r(m) = -382*m**3 + m. Determine -6*i(j) - 5*r(j).\nAnswer: -376*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*j + 36 = 0, -3 + 1 = -h - 4*j. Let a = -5 - h. Solve 0 = 3*y - a*i + 1, -10 = -0*y - 2*y - 2*i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**3 - 7*g**3 + 11322*g**2 - 11317*g**2 + 28*g as b*g**2 + y + v*g + t*g**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2462509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 4. Let z be v(0). Suppose -z*y + 16 = -0*y. What is the remainder when 7 is divided by 6\/(4 + (2 - y))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22878825 divided by 341475?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2077*i - 3 + i**2 + 0*i**2 + 3956*i as s*i**2 + q + l*i and give l.\nAnswer: 1879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -307 - -312 - (-4 + 303\/30)?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229004871.\nAnswer: 3, 877, 87041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 64323706 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-48)*8\/(-6) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 142*n - 413. Let z be k(3). What is the closest to -1\/4 in -21, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113 - (0 + (2 - 4)).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 v when four letters picked without replacement from {w: 1, j: 1, e: 2, h: 4, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1212112010111 (base 3) to base 11\nAnswer: 61a166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 53. Let v = 11 - i. Let f = 11 + -6. Which is the third smallest value? (a) -3\/5 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 114*s + 25416. Calculate r(-223).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 4, f: 5, l: 7, b: 1, n: 1}. What is prob of picking 1 b and 1 x?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 31326 + 102\/(-17) - (0 + (-28)\/(-4)). What is the highest common factor of p and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -742 + 1297. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-5) - (-931)\/(-95)) + 11)*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1641068 and 304.\nAnswer: 6564272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.21 - 0.41. Let k = 10.8 - 130.8. Let i = -119.8 - k. Which is the nearest to i? (a) -3 (b) -2\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-25))\/((-96)\/80).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:17 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Let z = 0.16 - 0.06. Which is the biggest value? (a) 2\/9 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256146?\nAnswer: 2, 3, 11, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11255 at most as big as -1182\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. Let t = -1 - s. Solve 0 = -2*q - 0 - t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/15? (a) 0 (b) -24\/7 (c) -1 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/76 and 36\/30 + 8\/32?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -8. Let f = t + -8. Suppose 3*r + f*h - 779 = 5*h, -2*h = -r + 253. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -4)\/(7 + (-2 - 3)). What is the closest to -8 in g, 5, -28, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -9 - -3 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.334 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211111011 (base 3) in base 9?\nAnswer: 154434","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eebebebkebbkbeeee. Give prob of sequence eke.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m - 3. Let c be w(4). Let u be (-22)\/(-10) + 3\/c. Let v(j) = -j**2 - 2. Let b(k) = k**3 - k**2 - k - 3. Let i = 2 - 5. Determine i*v(t) + u*b(t).\nAnswer: 2*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 8*o + 6. Let q(m) = 3*m + 2. Let p(g) = 4*l(g) - 11*q(g). Let r be p(11). Is 8 a factor of (-50)\/(-6) + 3\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416494255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 2*r**2 + 2*r - 3. Let h be d(2). Let x be 3\/((-1)\/((-1)\/h)). Suppose -2*y + 5 - x = 0. Let j(l) = l + 1. Determine j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*f = q - 39, -q = -5*f + 29. Let b = q - -16. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let w(c) = 7*c + 2. Let g(m) = 2 + 1 + 21*m + 2 + 2. Let h be 32\/8 + (1 - 9). Let v(a) = h*g(a) + 14*w(a). Calculate v(i(z)).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15620220 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.88 - -0.12. Let d = 4.6 - m. Sort 4, 0, d in decreasing order.\nAnswer: 4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + 56 + -30 + 36 + -28?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -2*c**3\/21 - 260*c**2\/7 + 522*c\/7 - 3062. Factor y(s).\nAnswer: -2*(s - 1)*(s + 261)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {y: 3, k: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106*a**2 + 183*a**2 + 46*a**2 + (3*a - 7*a + 2*a)*(-a + 1 - 1) - a + a - a**2)*(a**2 + 0*a**2 - 3*a**2).\nAnswer: -672*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, y: 7, l: 3}. What is prob of picking 2 x?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61629, 123550, 185757, 248250, 311029?\n\"Answer: 143*o**2 + 61492*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -7\/44118, -1\/9, 2\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 87*u**3 + 3*u**2 + 4*u - 16. Let l be y(7). Round l to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.8. Suppose 55*r - 46*r + 4*k + 51 = 0, -6 = -2*r + 2*k. Let o = 0.41 - 0.01. Sort o, h, 5, r in descending order.\nAnswer: 5, h, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 63 = 3*q. Suppose -2*z + 5*o - q = 0, -z - 24 = 4*z - 3*o. Which is the closest to 0.1? (a) -1\/3 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 times -0.2\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.11 + 0.11. Let u be 4\/2 - 11\/6. Which is the closest to r? (a) 1\/5 (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 2 (c) -1241\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 827 - 809. What is the remainder when 142 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 2*s = r - 9, -4*r - 3*s = 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + 1.93. Let p = 15\/26 - 1\/13. Put p, d, -1\/2 in increasing order.\nAnswer: -1\/2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139\/195 + 3\/65. Which is the closest to t? (a) -1\/7 (b) -0.3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152.6 * 203.07\nAnswer: 30988.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1191461 (b) -1 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -314*k + 215*k + 181*k**2 - 846*k wrt k?\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88113 is divided by 3661?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 2*z, -3*z + 3*x = 0. Does 5 divide ((-33)\/(-4))\/(6\/16 + z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8033262 rounded to 3 decimal places?\nAnswer: 0.803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.7 times -0.1?\nAnswer: -14.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 7. Let q = 1 + g. What is the units digit of 3\/((-1)\/q) - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 26*d = -30*d + 1, -2*y = 3*d - 12. Let f(a) be the first derivative of -a**4\/4 + 3*a**3 + a**2\/2 + a + 1. What is f(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -34?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(-12\/7)))\/(i**(-4)\/i))**(-34))**29 assuming i is positive.\nAnswer: i**(-22678\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -7*k**2 - 8*k + 7. Let p(n) = -5*n - 3. Determine -11*p(m) + 4*q(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one thirds of a week in hours?\nAnswer: 3416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by -99?\nAnswer: -65\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -266, -338, -508, -824, -1334?\n\"Answer: -8*u**3 - u**2 - 13*u - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.3 (c) 0 (d) 31 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90644 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -0.21, 4, -0.1, 2, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.092821 - 0.3\nAnswer: -0.392821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1372 = -0*m - 3*m + 1357 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22699*v**4 + 453*v**2*z - 11*v*z + v + 447*z wrt v?\nAnswer: 272388*v**2 + 906*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {g: 6, v: 6, m: 4, c: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146352324.\nAnswer: 2, 13, 22045237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -1) + -1 + (-12)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + (0 - (1 + -17)) + -3 + 46 + -54.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b**4*w + 16*b**4 - b**2*w - 65*w wrt b.\nAnswer: 20*b**3*w + 64*b**3 - 2*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4818253ml in litres?\nAnswer: 0.0004818253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + -8)\/(2\/(-5)). What is the greatest common divisor of l and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -92, -0.3, -125, 0.05, -16?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -375*r**4 + 301 wrt r?\nAnswer: -1500*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 3 = 19*a. Which is smaller: a or 13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + 52*x - 81. What is j(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9775595647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.041+7684\nAnswer: 7684.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/35)\/((-657)\/(-1460))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 74 = 3*f + 71, 0 = 3*f - t - 12. What is the smallest common multiple of f and 326?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = -d + 9, d + 11 = -5*u. Let z = 4 + u. Differentiate f**2 - 2 + 3 + z*f**2 wrt f.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppsprpppp. Give prob of picking 1 r, 1 p, and 1 s.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26536 by 26536.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.309622 - 0.1025?\nAnswer: 13.207122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6944988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/48)\/((((-40)\/(-32))\/(-5))\/1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -16. Let r = s - 15. Let q = -0.26 + 0.56. What is the third biggest value in q, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsnnnnnnnssnsnsnnns. What is prob of sequence sn?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*i = -178*i + 2*y - 16, 5*i + 3*y = -26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12825 = -9*c - 2196. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/8)\/v)*v)\/(v\/((v\/v**3)\/v))*v\/(v*v\/v**(8\/7)*v)*(v\/(v\/(v**5*v)))\/v assuming v is positive.\nAnswer: v**(169\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248942551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 35*m**2 - 935*m + 85. Determine l(27).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.01 (c) 23 (d) -1\/1738 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*g**2*r**2 - 14*g**2*r + g*r**5 + 5*g*r - r**2 wrt r?\nAnswer: -10*g**2 + 20*g*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab415 (base 15) to base 16.\nAnswer: -13e476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1234*b + 182*b - 304*b + 10008 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104191.\nAnswer: 31, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2422 - -2531. What is the highest common divisor of n and 1744?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeee. What is prob of picking 3 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1063976.2*12.\nAnswer: -12767714.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 17*z**2 + 8*z + 11. Let t be o(-10). Let h = t - 826. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1278871 and -144?\nAnswer: -184157424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 (base 14) in base 5?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4931706 divided by 126454.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 7, 5, 4, -7, 6 in ascending order.\nAnswer: -7, 4, 5, 6, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16))\/(-4 + 17\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5232 + 3558. Let w = 2575 + r. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1)*v)\/v*v)\/(v**(-16)*v))**(-2\/111) assuming v is positive.\nAnswer: v**(-32\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 396583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -321 by -3.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 10. Suppose 23 = j - b*x, 5*j + 0*j - 76 = 2*x. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 0 in decreasing order.\nAnswer: 4, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000204284 to 7 dps.\nAnswer: 0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(23\/5)*g\/(g**(1\/6)*g))\/(g**(-23)*g*g**(-17)*g) assuming g is positive.\nAnswer: g**(1303\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**5\/80 + 7*r**4\/4 - 305*r**3\/8 + 2*r**2 - 2010. Let d(q) = 0. What is q?\nAnswer: -61, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 15008?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 18. Let c = -8 + i. Suppose k + 25 = c*k. Solve 3*n + k*d - 24 = 2*n, 0 = 5*d - 25 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - z = -15, 6*z - 3*z = -5*p + 10. Suppose u = -0 - p. Let d(g) = -g - 1. Let r be d(-4). Which is the third smallest value? (a) u (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:12 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -110322?\nAnswer: -110331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 972242*q**5 + 64*q**4 - 4997535*q**2 + 13.\nAnswer: 58334520*q**2 + 1536*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -991 = 15*f - 1006. Solve -f = -24*s + 25*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151888 and 121?\nAnswer: 1670768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 53*t**4 + 36*t**3 + 548*t**2 - 55*t. Let o(u) = -3*u**4 - 2*u**3. Let w(f) = -i(f) - 18*o(f). What is the second derivative of w(q) wrt q?\nAnswer: 12*q**2 - 1096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 4. Let m be g(-4). Suppose -m = -4*w + 4. Let b(r) = 3*r + 4. Calculate the lowest common multiple of 10 and b(w).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 22*s**2 + s. Let n be f(-1). Suppose 4*g - n = -9. What is the remainder when 12 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/sqrt(9)*4)\/(2*(sqrt(5) - sqrt(320))))**2.\nAnswer: 12\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 17. Let u be s(12). Let p be (1 - -5)*u\/(-3). Let c(t) = t + 10. Let l be c(p). Solve -2 = -2*z - l*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-7) + (-66)\/(-42) + -3. Let v be 6*(3 + 12\/(-9) + r). Solve -3*c - 4*u = 5, 3*c = -v*u - u - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 - 11 = 0. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -14 + 2. Suppose -y = -0*s + 2*s. Let r be (0\/(-2))\/(-1 - s). Which is smaller: -1\/5 or r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*p = -70*p - 22779. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*o - 7*o = -6, -l = -2*o. Let q be 21\/(-2 + -1)*l. Let z = q - 1. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(7200))\/(sqrt(110)\/(sqrt(110)\/(sqrt(10)*1))).\nAnswer: -180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 12*w**2 - 7*w - 9. Suppose 11 = -2*z + 3*z. Is q(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 7*l - 9. Let x(v) = -2*v**2 - 6*v - 7. Let z(o) = -3*o**2 - 7*o - 8. Let n(m) = 4*x(m) - 3*z(m). Let u = 1 - -4. Let d be n(u). Give s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8596, -4, 6, 0, 4 in ascending order.\nAnswer: -8596, -4, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 3*t - 7*t)*(4*t**2 - 3*t**2 - 2*t**2) + t - t - 3*t**3 to h + r*t**3 + a*t + g*t**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3158103096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**5 + 6506*k**4 - 8614811*k**3 - 6673618898*k**2 + 8614812*k + 6673612392 = 0.\nAnswer: -538, -1, 1, 3522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksk when three letters picked without replacement from {s: 1, k: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 5*a**8\/336 - 41*a**7\/14 + 121*a**6\/24 + 41*a**5\/4 - 305*a**4\/12 - 763*a**2. Let g(d) = 0. Calculate d.\nAnswer: -1, 0, 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1134056525 to the power of 1\/2, to the nearest integer?\nAnswer: 33676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 + -80. Let s = 4 + -1. Put i, 2, s in ascending order.\nAnswer: i, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37\/105 - -1\/15. Let g be 128\/10 - 988\/76. Sort 2\/3, g, k, 3 in ascending order.\nAnswer: k, g, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**2. Let v(g) = -917918*g. Calculate v(b(r)).\nAnswer: 8261262*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(3 + (-28)\/7). Which is greater: -22 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 33*j - 158. What is a(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -5.3. Let r = x + -0.4. Let q = -250\/7 + 36. What is the nearest to q in -4, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -1.6, -34\/7, -5, 0.3, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3*(((sqrt(90)\/sqrt(2))**2 + 3 - -4*(sqrt(45) + 0)) + (5 + sqrt(45)*2)*-2).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.549419m to kilometers.\nAnswer: 0.002549419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68713554*i**3 + 2*i + 8745288.\nAnswer: -412281324*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4313 and 1672?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 2. Let d(a) be the third derivative of a**6\/60 + a**4\/8 - a**3\/6 + a**2 - 3*a - 263. What is d(s)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377458 (base 12) in base 6?\nAnswer: 215214552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2753.669 to zero decimal places.\nAnswer: -2754","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*m - 5*d - 5, 12 = m - 5*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10) + 5440\/(-1700).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -247077946 - -247075372.19954. Let f = u - -2574.5. Let p = f + -0.7. Round p to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-15) + (-33)\/(-9). Suppose -g*s = -5 - 4. Suppose -5*r = -2*w + 49, -54 = -s*w + 4*r + 30. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213237193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12615454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 2, c: 4, b: 1}. Give prob of sequence mhbh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + u + 5*h - 1, -u + 6 = 4*h. Let n = -96 - -95.7. What is the closest to -4 in 0.3, n, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-70) - ((-31716)\/2016 - -13).\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/1 + -7*(-4)\/14. Suppose -33*q = -z*q. Solve q = -3*o - 5*t + 25, 0 = -o - 0*o + 4*t - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 241425 and 25308.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2861797169.\nAnswer: 7, 11, 29, 53, 24181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*u - 136, -2*u + 287 = 4*f - 329. Suppose 3*z = 26 + 31. What is the greatest common factor of f and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17651, 67879, 151601, 268823, 419551?\n\"Answer: i**3 + 16741*i**2 - 2*i + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000101011111111011111 (base 2) in base 11?\nAnswer: -3720276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*h**2 + 0 + (22*h + 17*h + 15*h)*(2*h - 5*h + 4*h)*(-27 - 1 + 3) to n + z*h + d*h**2 and give d.\nAnswer: -1352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 1122*a**2 - 998*a - 124. Calculate k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/2? (a) -3\/2 (b) 1.69 (c) 5 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**2 + 0*z - z**3 + 1\/3*z**4 - 2 - 7\/60*z**5 + 1\/120*z**6. Let l(d) be the second derivative of c(d). Calculate l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*u = -12*u + 2226 + 1830 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 53.114.\nAnswer: -690.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 9:13 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 1252\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38377 (base 11) in base 3?\nAnswer: 2210110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 40*s**2 - 87*s - 252. Does 70 divide y(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.5, -711550, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 1 + 0*d + 1\/2*d**2. Let w(n) be the second derivative of n**3\/6 + 17*n. Calculate w(i(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264802 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245954.\nAnswer: 2, 31, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Suppose 4*a = 2*g - 16, 4*a - 10 = 7*a - 2*g. What is the units digit of (-1 - (-12)\/a)*(1 + n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -3, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2 - 3*f - 16. Let d(w) = -8705*w**2 + 9 + 0*w - 7*w - 42 + 8696*w**2. What is -3*d(i) + 7*u(i)?\nAnswer: -i**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + -23 + 3 + 5 + -2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.94 + 5. Let f = 5.06 - b. What is the nearest to -1 in 2, 3, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 231, 529, 945, 1479, 2131, 2901?\nAnswer: 3789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 367*i**4 + 257*i**3 - 238*i**4 + 597*i**4 to h + z*i**2 + w*i**4 + f*i**3 + a*i and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29860 and 80?\nAnswer: 119440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2 + (3 - 1 - 1)*(3 + 1 - 5) + (0 + 0 + 1)*(4 - 3 + 0))*(623*a**4 + 146402 - 146402) as d*a**3 + r*a + f + x*a**4 + l*a**2 and give x.\nAnswer: -1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -2\/7 (c) -14 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945 is divided by 467?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdc when three letters picked without replacement from {d: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*l + 3 + 0*l + l + 0*l + (-3*l + l + 4*l)*(-2 + 1 + 3))*(-4 + 5 + 5).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -31. Suppose 0 = 5*l + i - 6*i - 45, -5*i + 27 = 3*l. Calculate the lowest common multiple of r and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(8)*4))\/(sqrt(288) - (sqrt(288) + -3*sqrt(288))).\nAnswer: sqrt(11)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - v + 2 + 4. Let s be (-936)\/(-198) + (-4)\/(88\/(-6)). Determine y(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 6*c - 88\/15 - 2\/15*c**2 = 0.\nAnswer: 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 9:26 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*y - 49, 0 = 5*y + 15 + 10. Let d = c + -7. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 677974 divided by 11\nAnswer: 61634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 157.922535 from 0.714748.\nAnswer: -157.207787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4235, -4230, -4223, -4214, -4203, -4190, -4175?\nAnswer: -4158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -21717*y + 390995. Determine l(18).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 0.2. Let q = -8613.9 - -8614. Which is the nearest to -1? (a) q (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 - 1430*a**2 - 1445*a + 2870 = 0. Calculate a.\nAnswer: -2, 1, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/12 + b**3\/6 + 10*b**2 - b. What is the lowest common multiple of f(0) and (-5066)\/(-255) + (-2)\/(-15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*-5*(-2 + sqrt(1088)) + -4)**2 + -2.\nAnswer: -2560*sqrt(17) + 109054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -58 and -0.06232978.\nAnswer: -58.06232978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**2 + 8*r + 15 - 7*r**2 - 3 + 0*r**2. Let z be p(-6). Let q be (1 + 2)\/(15\/25 + z). Solve -5*v = -q*n - 20, 0*n = -v + 2*n + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3. Let c(q) = -5*q**3 - 2*q - 3. Let o(z) = -c(z) + 6*m(z). Let i be o(-2). Let s(t) = t**2 - 8*t + 8. Determine s(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1552 and 8536?\nAnswer: 17072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 10 - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (1 - 5))\/(1\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -150*c**2 - 82*c + 74. Let g be i(-8). What is g rounded to the nearest one hundred?\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 368.\nAnswer: 55\/368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174, -387, -650, -963?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 0.4, -0.14, -1.32, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 + 7*y - 13. Let m(c) = 2*c**2 + 5*c - 9. Suppose 2*n + 5*t - 4*t = -8, 3*n + 5*t + 5 = 0. Let w(h) = n*x(h) + 7*m(h). Calculate w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 63*f + 1. Let s(j) = -46*j**2 + 11*j - 11. Let r(k) = -9*k**2 + 2*k - 2. Let a(l) = -11*r(l) + 2*s(l). Determine o(a(g)).\nAnswer: 441*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 93952 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: Which is smaller: 1 or -5\/297566?\nAnswer: -5\/297566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ses when three letters picked without replacement from {s: 8, y: 1, e: 4}?\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*(-6)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 296, 404, 472, 488, 440?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12490 - -10430. Is z a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41234, 41207, 41164, 41099, 41006, 40879, 40712, 40499?\nAnswer: 40234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -15 - 65. Calculate the highest common factor of 30 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 1674.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 4*x**2 + 2*x**2)*(-662 - 874 - 3553).\nAnswer: -5089*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -5)\/((-22)\/8074). Let w = g - -2443. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-457929)\/(-6) + (-2)\/4. Suppose -1292317 = 4*q - f. Let i be q\/4 + 4\/(-16). Round i to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -17*u - 154. Solve u*m = 2*m + 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1779\/2372)\/(5\/((-1190)\/(-21)))?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3243152548.\nAnswer: 2, 9719, 83423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.1 + 26. Let z = 2.2 - d. Are z and 2\/35 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*d = -3, 0 = j + d + d - 2. Suppose -4*q - 8 = 4*a, 2*q = 6*q. Sort 2, 5, j, a in decreasing order.\nAnswer: 5, 2, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 5. Let l(h) = h - 1. Let j be l(-8). Let d = 10 + j. Let k = d + 5. Determine c(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198788 a multiple of 849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -6 - (7\/(-1) + 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -p - 4*p - 15, 4*n = -4*p - 40. Suppose 4 = 7*g - 5*g. Is 8 a factor of -12*-1*(-1 - p\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-418)\/76*33992\/(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1490.676 kilograms?\nAnswer: 1.490676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -230.6 (c) -4 (d) -2\/7 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**2*r**5 + l**2 - 94*l*r**2 - 3*l + 284022*r**6 - 3*r**2 wrt r?\nAnswer: -60*l**2*r**2 + 34082640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -13. Let z(o) = -o - 8. Let d be z(0). Let s be d\/(-5) + f\/25. Calculate the highest common divisor of s and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*u - 2304 = -473*u + 2880 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x = -44 + 104 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244233469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1628 by -11.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 1) + (-252)\/(-14). Suppose 5*q = -5*o, -5*q - o + x = 9. Solve 4*r = -q*p + 5, -r + 3*r - 8 = 4*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -426*m*p*w + 3585*m*p + 1318616*m*w - m wrt p.\nAnswer: -426*m*w + 3585*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*k - 15*k**3 + 235*k - 56*k - 58*k - 66*k.\nAnswer: -15*k**3 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87888 = 4*l - 2*a, 8*l - 65917 = 5*l + 2*a. Suppose 14*c + 3505 = l. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413112473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/(-24))\/(-21) - (-3 + (-138)\/4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1355*d*l**4 + 4*d*l - 75343*d - 33*l**4 + 8 wrt l?\nAnswer: 5420*d*l**3 + 4*d - 132*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 14.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*48031\nAnswer: 240155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/193033429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17961 is divided by 1638?\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 177, 731, 1659, 2961?\n\"Answer: 187*a**2 - 7*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73\/6 + 43\/3. Let t = 70 - 136. Calculate the common denominator of i and 226\/t + 6 + -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68565686*i**3 + 82*i**2 - 559*i - 117.\nAnswer: -411394116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10434 divided by 1\nAnswer: 10434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x + 0*x + 2*x. Let j(o) = -10*o + 207. Let b(d) = -2*d + 46. Let v(i) = -14*b(i) + 3*j(i). What is v(f(l))?\nAnswer: 4*l - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + 21 + -51 - 149 - (-16 - 3)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 21. Let y be c(-21). Is 6 - -943 - (y - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1162 + 1162. Let q = -3.6 - -3.7. What is the nearest to q in r, 4, 0.4, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*t**3 - 256*t**2 - 1150*t - 308 = 0. Calculate t.\nAnswer: -11, -7, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**6\/36 - 5*n**3\/3 + 14*n**2. Let f(a) be the first derivative of i(a). Let k(t) = 3*t**2. Give k(f(m)).\nAnswer: 300*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at least 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-10)*(-1)\/4*1. Let b = 3 - 2. What is the biggest value in 0.1, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g**3 - g**2. Let i(s) = -2*s - 28. Let c be (-2 - 0) + (-1 - 0 - 13). Let n be i(c). Let d be 1\/(-3) + n\/(-6). What is h(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 11 = -1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58506 divided by -58506?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 468.5975mg to nanograms.\nAnswer: 468597500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-20)*4\/3. Let d be 1*((-30)\/(-150))\/((-6)\/10). What is the nearest to 1 in d, s, -0.26?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 11. Let m be u(10). Put -5, 2, m in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3990 divided by 14\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -560ca (base 15) in base 6?\nAnswer: -5510301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - ((-2)\/(-15) + (-116)\/(-30)). Let x(a) = a**3 + 10*a**2 + 13*a - 16. Is x(l) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36055 divided by -7211\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1980*v + 1899*v + 1439451. Is v a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 364, 515, 648, 757?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a. Let d be b(-3). Suppose -d*f + 85 = -f. Suppose f = h - 45. What is the remainder when h is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.78 - -1. Let u = -0.08 - g. Let z = 0.3 + -0.3. Which is the second smallest value? (a) -4\/5 (b) z (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 3692634.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5 = 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -264, -268, -272?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 2, 3\/2, -226, -2\/3 in decreasing order.\nAnswer: 2, 3\/2, 0, -0.4, -2\/3, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**6\/72 + o**5\/8 + 5*o**4\/12 + 17*o**3 + 41. Let a(h) be the third derivative of j(h). Factor a(g).\nAnswer: 5*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43479 + 61481. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 39 = l, l + 108 = 5*l - 4*w. Let s be (1\/2)\/((-42)\/l). What is the nearest to 1 in s, 0.4, -0.8, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00079 rounded to two decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -1\/7 (c) 1\/2 (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850 and 13550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -8*m**3 - 2*m - 1. Let t = 633 - 634. Determine d(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8009 + 0.65382. Round j to 3 decimal places.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81001, -162000, -242999, -323998?\n\"Answer: -80999*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/13 (b) 1 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*j**4*n**2 - 343*j**3*n**3 + j**3 - 140*j**2*n + 3*n**3 wrt j?\nAnswer: -288*j*n**2 - 2058*n**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 626871251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11)*((-126962)\/995)\/(6\/(-15)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*s = 3*r - 2361, -4*r - 4*s + 2360 = 0. Let n be 200*r*300\/9. What is n rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 2. Let m be p(3). Let u = 1572\/7 + -225. Is u > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256 - 555 + 478)*(-2*g**5 - 2*g**5 + 2*g**5) + (g**2 - 9*g**2 - g**2)*(-3*g**3 + 3*g**3 + g**3).\nAnswer: -367*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xllalaaalaxal. What is prob of picking 1 a, 1 l, and 1 x?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**5\/10 - 3*b**4\/4 + 3*b**3\/2 + b**2 - 6*b - 148. Factor i(m).\nAnswer: (m - 3)*(m - 2)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttxz when four letters picked without replacement from {x: 2, t: 3, z: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/3804 - -1901\/3804. Which is the second biggest value? (a) 5.1 (b) 2 (c) s (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3605*l + 3560*l + 8595. What is the remainder when 766 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*o**5 + 109*o**4 - 5*o**2 + 112*o?\nAnswer: -360*o**2 + 2616*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 207503 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/6843 + -1854353\/136860. Let r = a + 69\/5. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + m - 35. Let a be t(0). Let q be ((-30)\/a)\/(5\/7). Let b be 4\/(-8)*8\/(-10). Does q = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7420642 + -0.5?\nAnswer: 7420641.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/33 and -0.611 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76012 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 9) + 0 + 0 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + z - 1 = -20, 3 = -z. Let p be m\/36 - 64\/(-45). Determine b, given that 2\/5 + 6\/5*b**2 - 2\/5*b**3 - p*b = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -1, 2, -33, -3.\nAnswer: -61, -33, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3451930 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-6)\/(-2) - -46) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*x = 6*o + 292, -5*x = 10. Let c be 1063*(-2)\/13988 + o\/(-468). Which is greater: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1262*i**3 + 7*i**2 + 7*i - 19. Let z(r) = 423*r**3 + 2*r**2 + 2*r - 6. Determine -2*t(g) + 7*z(g).\nAnswer: 437*g**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11*x. Let n(k) be the second derivative of -5\/12*k**4 - 3*k + 0*k**3 - 2 + 0*k**2. Give h(n(p)).\nAnswer: -55*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 1. Let k be h(3). Let d be ((-15)\/(-6))\/k*0. Solve -s - u - 1 - 1 = 0, -s - 5*u - 10 = d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207*o**3*y**2*z - 2*o**3*y + 5*o**3 - 75*o**2*z + 39*o*y**2*z + 50*o*z + 4*y**2 wrt y?\nAnswer: 414*o**3*z + 78*o*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8022 and 60.\nAnswer: 80220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -7.43\nAnswer: -37.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (-13 - (-23 - 19))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*y**2 - 1 - 16*y**2 + 5*y**2 + 0*y - y - 2*y**4 - y**3 to the form q + i*y**2 + g*y + w*y**4 + x*y**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -558, -6, 0.27, 3, 0 in ascending order.\nAnswer: -558, -6, 0, 0.27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 9*d**2 + 6*d - 4. Is 11 a factor of v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 49 + 23 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*i = -51*i. Solve i = -m + 3*w + 3, -2*m - 2*m + 3*w - 6 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-4) + (-1)\/2)\/(-1). Let d = -34 + 38. Let l = f + d. What is the smallest common multiple of l and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2 - 2)*(17 - 71 - 33)*(1 - 1 - 2).\nAnswer: -348*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x**4 - 4*x**4 - 3*x**4 + 5*x + (18*x + 44*x**2 - 18*x)*(5 - 5 + 7*x**2) to the form n*x**3 + j*x**2 + r*x + w*x**4 + g and give w.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (9\/15*-2)\/(-6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -36220*d**3 + 98*d**2. Let f(y) = -7244*y**3 + 18*y**2. What is -11*f(x) + 2*n(x)?\nAnswer: 7244*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 4*a = -x, -3*x + 2*x - 27 = -12*a + 6*x - 2*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2 + (-316)\/(-6))\/((-6)\/(-18)) and 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-15))\/(-6) - (-48)\/10. Let n be 2 - h - (7 - 6). Let t be -1 - ((-3)\/2 - 17\/(-2)). Sort n, 3, 4, t in ascending order.\nAnswer: t, n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 191*u - 4083. Give s(19).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001262406 to six decimal places.\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2093992 (base 11) to base 7\nAnswer: -43165036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 412 (base 6) in base 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**4 - 12*v**3 + 6*v - 9. Let p(z) = 13*z**4 - 25*z**3 - z**2 + 11*z - 19. Let x(f) = -7*c(f) + 3*p(f). Factor x(d).\nAnswer: -3*(d - 2)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 24. Suppose -7*o + 2*o + u + i = 0, 0 = 5*o + u - 18. Solve 5*a + 0*a + 3*d = 14, -3*a + o*d = -18 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38417526 - -7.181\nAnswer: -38417518.819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 382 - 541.2. Let c = -189 + 53. Let q = b - c. What is q rounded to 0 dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176179 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*q**3 - 232*q - 243491.\nAnswer: 144*q**2 - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -71*g - 33. What is the units digit of d(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4*h = 3*a - 861, 0 = 2*a - h - 567. What are the prime factors of a?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 z when three letters picked without replacement from fwfzzfwfzbfb?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2 + 4360*z + 26197. Give f(-6).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 773012 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/48, -1\/7, 6\/5, 1 in descending order.\nAnswer: 6\/5, 1, -1\/48, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -20, -61, -130, -233?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.3 (c) 19 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x - 3*x + 2*x)*(-3*x**2 + x**2 + x**2 + (45*x - 24*x - 20*x)*(-x + 0 + 0)) to the form o*x**3 + r + i*x**2 + s*x and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 235 divide 2191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -907024, -907029, -907036, -907045, -907056?\nAnswer: -907069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 16 = -y. Solve -5*n + o - 10 = 0, -2*n + 3*n + o + y = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2882 rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-3))\/(((-84)\/5742)\/(-7)). Suppose -19*h + j = 10*h. What is the greatest common factor of h and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t + 12*t**3 - 20*t**3 + 9*t**3 + 2 - 2*t**2 to y*t + v*t**3 + s + f*t**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/57 - 2\/12?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3808)\/(-72828)*(-12)\/16.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53705735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*c = 6708, -5*p - 6*c + 11206 = -4*c. Calculate the greatest common divisor of 175 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*a + 2*a + 128, -4*k + 100 = 4*a. Let w = 1186 + -494. Suppose 0 = -8*y + 132 + w. What is the remainder when y is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*12354.\nAnswer: -1111.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 3*m**2 - m + 4. Let f be i(-3). Let c = f - 25. What is the nearest to -0.1 in -5, 1\/7, c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144050 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -6)*(3\/6 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -462*g + 475*g - 26 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 8 + 4 - 17*o)*(-o - 3*o + 2*o)*(2 + 5 - 2)*(-2*o - o + o) as p*o**2 + m*o + z + f*o**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 993.1442 millilitres to litres.\nAnswer: 0.9931442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*y - 657 + 3957. Let x = -4 + -1. Let j be (22\/x)\/((-2)\/10). Calculate the greatest common factor of j and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -56*c + 8. Which is smaller: c or -3\/7798?\nAnswer: -3\/7798","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 47*c - 7. Let y be 3*(-24)\/9*9\/(-12). Let x(r) = -2*r. Let p(g) = y*x(g) + 2*q(g). Is p(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-2)*-5*(-24)\/(-300). Suppose 9 - 45 = -o*v. What is the greatest common factor of v and 1098?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 654438\/19 or 34445?\nAnswer: 654438\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*c = -4. Let b(r) = 3*r - 3. Let i(a) = -7*a + 7. Calculate c*i(h) + 10*b(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (580\/(-6))\/(9\/(-27)). Suppose 3*p - n = -2*p. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 divided by -31?\nAnswer: -232\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -17. Suppose 4*t - t = 6. Solve r*b = t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*u + 24, -u - 4*s - 1 + 21 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8967097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2564 and 816.\nAnswer: 2092224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -33*j - 15*j**2 - 2*j**2 - 38 + 14*j**2. Let h be c(-6). Solve 0 = h*z - 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2130 - -23285?\nAnswer: 21155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 14 - k + 0*k**2 - 7*k. What is the units digit of u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + -17 + 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 9*a**2 + 14*a + 85. Let g be z(-11). Let b = -163 + g. Solve -3*f = -v - b, 0 = 3*f + v - 4*v - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*-282197.3.\nAnswer: 507955.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 35.1. Suppose r = 2*i + 2 + 3, 0 = -r - 4*i - 25. Sort -0.4, v, r.\nAnswer: r, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m = 0. Let c be 1*5*30\/50. Let b be (22\/(-6) + c)\/(4\/(-12)). Sort b, m, 5.\nAnswer: m, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 431752 or 431761?\nAnswer: 431752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 109. Does 8 divide r(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -8, -18648, 1, 5, -3, 5\/4 in descending order.\nAnswer: 5, 2, 5\/4, 1, -3, -8, -18648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 438*g - 208*g + 0 - 232*g - 159*g**2 to v + s*g**2 + i*g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 3*c + 291 = 0, -2*a - 3*c + 309 = 0. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/19, -2\/3, 3, -6\/7.\nAnswer: -6\/7, -2\/3, 1\/19, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Suppose 2*h + n*h - 15 = 0. Let y = 38 + -35. Solve y*v = 3*i - 10 + 31, -h*v + 4*i = -25 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*2)\/sqrt(9))\/((sqrt(18)*1 + sqrt(18))\/sqrt(9)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 7*j**2 - 40*j + 217. Calculate the remainder when 477 is divided by s(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5603165 take away -1?\nAnswer: -5603164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -102310 to the nearest one thousand.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 448*t + 25088.\nAnswer: 2*(t + 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4*(-5)\/(-20))\/(-5 + 7)*-48646?\nAnswer: 13, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 12218342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 4*k + 9 = -2*a, -4*a - 24 = 4*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -8\/70086709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -34. What are the prime factors of s\/(-2) - (5 - 119)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(55) + sqrt(495) + sqrt(55)))\/(sqrt(1331)*-2).\nAnswer: 15*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4))**(2\/69)\/((d**3\/d)\/d)**(-4\/29) assuming d is positive.\nAnswer: d**(34\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 322618\nAnswer: 645236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**3 + 3*k**2 + 7*k + 5. Give m(4).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 18 = -54*r. Sort r, 5, 16 in increasing order.\nAnswer: r, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 20 = 10*o. Solve c - g = 2*g - 11, o*c - 3*g = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + v - 4*v)*(15*v + 8*v**4 - 25*v + 6*v**4 - 9*v**4).\nAnswer: 5*v**5 - 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11451527 a multiple of 1657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Suppose 0 = 6*o - 16 + j. What is the second derivative of -4*c**2 - 2*c**2 - 5*c - 2*c + 23*c**o wrt c?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.048699952 and 14076.419.\nAnswer: 14076.370300048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 244 = -s + 3*d, 276 = 2*s - 5*d. Does 12 divide 18\/(408\/s + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/24*12\/(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2703, -5072, -7441, -9810, -12179?\nAnswer: -14548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 - 406. Let n(w) = 2*w**2. Give v(n(i)).\nAnswer: 16*i**4 - 406","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*8\/(-60)*3. Let r be (-1)\/2 + 19\/a. Calculate the remainder when 5 is divided by (-28)\/(-12) - 3\/r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -1, 2.65 in ascending order.\nAnswer: -1, -4\/7, 2.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -6 (b) -107 (c) -1 (d) -4 (e) 3\/16 (f) 0.1 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -10*f**3\/3 + 6*f - 3603. Give n(-3).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/15 (c) 27 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 37*n + 104 - 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3683?\nAnswer: 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and 53.\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -19*t + 1. Let m be f(-1). Solve 0 = -3*q - 3*o - 24, -4*q - 2*o - m = -o for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 57, 158, 331, 588, 941, 1402, 1983?\nAnswer: 2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v - 2. Let h be a(-3). Let f = h - -11. Let l be -12*f\/15 - -2. What is the closest to -1 in 3\/5, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*n**4 + 36*n + 4*n**3 + 27 + 18*n**2.\nAnswer: (n + 3)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 11 + 115*w.\nAnswer: 115*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 2. Let z = t + 8. Solve -z*w + 0 + 8 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1623*k + 88568 = 1195*k + 1250*k + 23630 for k.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 577092790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**10*h**(-8)*h assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 281*l**5 - 7*l**2 + 321*l + 3 wrt l.\nAnswer: 5620*l**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64*a - 332 + 332)*(2*a + 0*a + a) to c*a + k*a**2 + z and give k.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -113*l**2 - 12*l - 43. Let d be q(-5). Let v = d - -84263\/30. Let k = -6\/163 + -3949\/3423. What is the common denominator of k and v?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 117754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2260258, -9, 4 in descending order.\nAnswer: 4, -9, -2260258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 + -145. Suppose -c*s - 104 = -14*s. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 804\/1474*44\/36\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 27 = r. Let d be (-20 - -18)\/(4\/(-6)). Solve 3*s + r = d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/300053 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -74*n - 111 + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 92. What is the third derivative of -11*u**2 - 4*u**2 - 76*u**6 + 45*u**6 - 6*u**k wrt u?\nAnswer: -3720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + -110. Let g be (1 + -2)*(41\/q - -2). Let f = g - 25\/2. Which is the smallest value? (a) -4 (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3 - 74*o**2 + o + 13?\nAnswer: -6*o - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10441 or 10443?\nAnswer: 10441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -1 (c) -0.2 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -872 + 871.8. Sort -5, -3\/16, 3, b in descending order.\nAnswer: 3, -3\/16, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 + 9*f - 1. Is i(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 118 + (6 - 0) + 2. What is the lowest common multiple of 6 and (s\/(-56))\/(9\/(-168))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/6 - f**3 + f**2\/2 - 4. Let m(j) be the second derivative of p(j). Differentiate m(h) with respect to h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**5\/o**3)\/((o*o**(2\/9)\/o)\/(o*o*o**(-6\/5)*o*o)))**(-5) assuming o is positive.\nAnswer: o**(-206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9695 is divided by 126?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Let d(f) = -18*f + 145. What is d(11)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -5*o**4\/12 + o**3\/2 + 6*o**2. What is the derivative of h(u) wrt u?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.89 and 12.2.\nAnswer: 13.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 + 850*l - 1904520 = 0. What is l?\nAnswer: -708, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*p**2 + 15*p**2 + 12*p**2 - 38*p**2.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 259 + 2*j - 246 + 0*j. Let t be 2\/(-3) + (-96)\/18. Let n be k(t). What is the greatest common factor of 11 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39495877, -39495880, -39495883, -39495886, -39495889?\n\"Answer: -3*f - 39495874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 1215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)*b**1*b assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 2.6. Which is the closest to -1\/7? (a) 1\/2 (b) -0.02 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9983\/(-268) + 37 - (-147)\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-4)\/16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*g - 3*j, 0*j + 2*j + 24 = -3*g. What are the prime factors of (g\/12)\/((-1)\/46)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1384654992 a multiple of 791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2, -2*u - s + 245 = -570. What are the prime factors of u?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 159, 160, 161, 162, 163?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4598 is divided by 1524.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 1 + 1)*(0 - 9 + 1).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3698\/258*-6 + 162?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwdwjpdcdj. Give prob of sequence pj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 - 2*f + 787. Is b(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(2\/25))*y\/y**11)**46)**(1\/10) assuming y is positive.\nAnswer: y**(-5221\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vajvavvvj. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 7. Let s be t + -1 + -1 - -2. Solve -s*u + 2 = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 262 + -1?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w - 60*w - 406 + w**2 + 14*w + 10*w + 17*w to the form k*w**2 + c + g*w and give c.\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -852860 - -1200880. What is g rounded to the nearest one thousand?\nAnswer: 348000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + 0.1. Let g = -0.22 + -0.08. Let m = d + g. Which is the nearest to m? (a) -4 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 y when four letters picked without replacement from ykmkykmkkkmm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/37212 - 797357\/118371372. Let n = -192529\/229032 + s. Let a = 1\/24 - n. What is the common denominator of a and 73\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9013.9 + -9009. Which is the nearest to -1? (a) 5 (b) k (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41419 + -41275. What is the remainder when 767 is divided by d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b - 2. Suppose 2*z + 174 = 170. Let a be r(z). Which is smaller: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 9:34 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 6276562\nAnswer: -3\/6276562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/51 and 148\/36*((-284)\/(-72) + -4).\nAnswer: 2754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1212 - -10?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 divided by -23576.\nAnswer: -339\/23576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 55 (c) 2\/5 (d) 2\/23 (e) -0.06 (f) 3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 12:16 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**(-1\/4)\/p)))**(-3\/32))**46\/(((p*p*p**(1\/2))\/(((p**(-3)\/p*p*p)\/p)\/p*p))\/(p**(-2\/11)\/((p*p**(-1))\/p))) assuming p is positive.\nAnswer: p**(499\/704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6790531308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*x - z - 15, 0 = -3*z - 9. Let g be ((-627)\/6)\/((-3)\/x). Is 2\/(-9) - g\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 12:20 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159613162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 8) to base 13.\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21926691 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-16 - 8) - (-6 + 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 11 + 8*q**3 - 6*q**3.\nAnswer: q**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/67 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/(-156465)*-61*207\/4?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -57. Let g(l) = l**3 - 2*l**2 - 3*l + 4. Give g(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 9090*n - 210657.\nAnswer: 3*(n - 3053)*(n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-30)*m)\/m**(-35)*(m**(2\/13)\/m)\/m*m\/m**(-10) assuming m is positive.\nAnswer: m**(197\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/(-65) - (-30)\/(-130).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 12:51 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.96 + -5.88. Let x = r + -0.08. Let a = -4 - x. Is a smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 3*q**5\/10 + 23*q**4\/24 + 19*q**2. What is the second derivative of y(a) wrt a?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) 5 (c) -2\/11 (d) 2\/105 (e) -388\/5 (f) 0.1 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5122 (b) -0.2 (c) -2\/9 (d) 3\/4 (e) 0.4 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 3. Is 7 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 52. Let g = 7428 - 7441. Give r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 3:41 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3965 rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -708, -1853, -3760, -6429, -9860?\n\"Answer: -381*c**2 - 2*c - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163173 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.7292213 rounded to 3 dps?\nAnswer: -16.729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**6\/1080 - h**5\/40 + h**4\/4 - 41*h**3 + 39*h**2. Let b(y) be the first derivative of l(y). Suppose b(k) = 0. What is k?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 5. Let u(t) = -t - 1. What is -c(h) - u(h)?\nAnswer: 2*h**2 + h + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(4\/6)*(-274)\/1781?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 + -236. What is the second biggest value in w, 2, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + d. Suppose 3*p + 5*a - 2 = 4*p, 0 = 2*a - 2. What is y(p)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = a - 8, 20 = -a + 5*z. Suppose 0 = h - a - 3, 4*r = -5*h + 23. What is the third derivative of j**r - 2*j**3 + 5*j**2 + j**2 - j**3 wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and 4756756418466.\nAnswer: 4756756418467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let t = 38 - 39. Let c(s) = -8*s**2 + 5. Let u(d) = t*c(d) + x(d). What is the first derivative of u(b) wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 6*t**2 - 2*t + 8. Let o be h(-4). Let w = o + -40. Suppose -w + 10 = d. Solve -2 = -3*m + d*j, 0*m - 5*m + 3*j + 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 + 18 - 12\/1. Is -180\/19 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**6\/30 - l**5\/10 - l**4\/12 + l. Factor k(u).\nAnswer: -u**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11012 - 101121?\nAnswer: -112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(((-336)\/(-32))\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + (4 + sqrt(684)*-4 - (sqrt(684)*2*2)**2)).\nAnswer: 24*sqrt(19) + 10941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 - 5*m**2 + 30. Let f(z) = -2*z**3 - 4*z**2 + 29. Calculate 4*d(u) - 5*f(u).\nAnswer: -2*u**3 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14*b + 2. Calculate d(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 583726 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 8*m - 2. Let f = 1 - m. Which is the nearest to 1? (a) f (b) -1\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 486*v - 380*v - 2438 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) -2 (c) -2\/13 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + 33 + 54 + -104?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 3*n**2 - 3*n + (-n + n - n**2)*(0 - 4 + 2) + 1 - 1 - 2*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 6*f + 8. Let i be g(6). Let j be 2\/i - 47\/1692. Let c = -0.26 - -8.26. Is j >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1313965, -2627916, -3941863, -5255806, -6569745, -7883680, -9197611?\nAnswer: -10511538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.9625 - -6.97. Let h = -5.0075 + x. Let f be (4\/(-10))\/((-34)\/(-10)). What is the third smallest value in f, -3, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 614964308 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 31*g**3 - 97*g**2 + 93*g - 158. Let f(q) = -9*q**3 + 32*q**2 - 31*q + 53. Let m(k) = 7*f(k) + 2*i(k). What is m(29)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -1\/420*w**7 - 1\/40*w**6 - 1\/4*w**4 + 2*w**2 - 1\/3*w**3 + 0 + 0*w - 13\/120*w**5. Factor p(j).\nAnswer: -(j + 1)**2*(j + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3016 by -8.\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - -20 - (-333 + 341)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -42. Suppose 8*q = x*q + 2. Solve -q = -o + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 19*g + 22. Let h be s(-18). Let u(i) = -h*i + 5 + 8*i**2 - 3*i**2 - 4*i**2. Suppose -2*j = -r + 2, -2*r + r + 3*j = -1. What is u(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + 19*q - 251. What are the prime factors of b(-38)?\nAnswer: 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*w - 401*w = 14. Suppose -w*o = -3*d - 117, -3*d = 3*o - d - 208. What is the greatest common factor of o and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3889381 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/21)\/h*h*h**3)\/(h\/(h*(h\/h**(-5))\/h)*h\/(h**7\/h))*((h\/(h*h**(-2)*h))**(4\/3))**17 assuming h is positive.\nAnswer: h**(249\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*13634.\nAnswer: -122706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1278*y**2 + 15366*y + 356. Give i(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9542000 to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -76. Let c be ((-6)\/(-9))\/((-12)\/(-414)). Let w = v - c. What is the smallest common multiple of w and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -20983.\nAnswer: -20983, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b + c?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from lllillllllllllllil?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3060349751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*v - 9381 = -148*v - 114*v - 15 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 576045 divided by -38403\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - ((-98)\/(-4))\/(-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*((m\/(m\/m**(-6)))\/m)\/m)*m*m**(2\/13)\/m)\/(m**0)**(-2\/87) assuming m is positive.\nAnswer: m**(106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3325 - 3325. Let s(g) be the third derivative of 5*g**2 - 3\/92*g**4 + 0 - 1\/115*g**5 + l*g**3 - 1\/1380*g**6 + 0*g. Factor s(u).\nAnswer: -2*u*(u + 3)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -296?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-2))**(-12\/5)*b\/(b*(b*(b**8\/b)\/b*b)\/b)*b**(-1\/5))**(-8) assuming b is positive.\nAnswer: b**(288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 10:10 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 18*n**2. Let c be k(1). Let v = -10 + c. Suppose 2*t - 12 = -3*s, 0 = 3*s - 4*t - 6 - 6. What is the greatest common factor of v and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.00006 + 6. What is m rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*y**2 + 221*y**2 + 8*y**3 + 170*y**2.\nAnswer: 8*y**3 - 47*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3973 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 17 = -312. Let o = 52 - 76. Let s = 39 + o. Calculate the remainder when l is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5 - 2. Let j = -2.56 + q. What is j rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q**(-7)*(q*q**(-4\/5))\/q)**(-9))**41 assuming q is positive.\nAnswer: q**(8856\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5251, 5632, 6015, 6406, 6811?\nAnswer: 7236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*t + 78, -4*q - q + 83 = 3*t. Let a = -12 + q. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496154.5 decades to millennia.\nAnswer: 4961.545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millisecond in microseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/162)\/(2\/6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -2.8, 7.7, -2\/15 in descending order.\nAnswer: 7.7, 5, 3, -2\/15, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46863, -46864, -46865, -46866?\n\"Answer: -h - 46862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 437*97\/(-195358)*-106?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131023539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1646?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let r(j) = -145*j + 1. Determine r(x(f)).\nAnswer: -145*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssnrtnlnnddsdns. What is prob of sequence dnls?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 2*l + 2*l + (2*l**2 + l**2 - l**2)*(28*l - 8*l + 12*l).\nAnswer: 66*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -4 (c) -226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 9 - (-107 - -34 - -58).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**(-10)*((h**(2\/5)*h)\/h)**(-2\/49) assuming h is positive.\nAnswer: h**(-9804\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19402 + 19402.00040232. Round r to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2. Let b(g) = 327246000*g**2. What is q(b(w))?\nAnswer: 214179889032000000*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (31 - 31)*(14\/6 + -2). Let z(n) = n + 5. Let x be z(-5). Let r = x - i. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1062 - 10607\/10. What is the common denominator of 37\/5 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 136.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 119866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10 + 0)\/(8\/(-12)). Let t = -1 + 11. What is the greatest common divisor of t and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 4089 - 1529 = 0. Does 20 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -2, -3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512 = 80*w - 448 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10)*w**2)\/((w\/((w*w*w**(-7)\/w)\/w*w*w))\/w*w\/(w*w\/((w*(w\/w**(-11\/2))\/w)\/w*w*w*w)*w)))**(-17\/5) assuming w is positive.\nAnswer: w**(663\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 9757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*q**3 + 1006*q + 1007*q - 4022*q + 1009*q + 1000*q.\nAnswer: -97*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171266 rounded to the nearest 100?\nAnswer: 171300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 3206*x.\nAnswer: x*(x - 9618)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2801, 6090, 15101, 32696, 61737?\nAnswer: 105086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 2 + 0*l**3 + l**3 + 2*l - 2*l**3 - 4. Is m(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 1, j: 2, w: 1, d: 1, k: 1}. Give prob of sequence wlk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*m**2 + 107*m**2 - 6*m - 64*m**2 - 22*m.\nAnswer: -15*m**2 - 28*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2188 - 2034. What is the remainder when l is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -852 and -27118492.\nAnswer: -27119344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176\/9*k - 2\/9*k**3 - 28\/3*k**2 + 0 = 0. What is k?\nAnswer: -44, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 623 - 1907\/3. Let b = 500\/39 + a. Determine p so that 2\/13 + 4\/13*p + b*p**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6406957499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(3744\/128)*(-11)\/2?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.58928 to 2 decimal places.\nAnswer: 15.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 47. Let t = 30.9999837 - c. What is t rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 33*y**2 - 60*y - 64. Determine c(31).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a hour in seconds?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 208 - 277 = -4*a, -5*s - 493 = -4*a. What is the greatest common divisor of 183 and a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*m = -3*f + 1239, -4*f + 3*m = -1650. Suppose f = 6*d - 75. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -982 (base 12) to base 3.\nAnswer: -1220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11230446 - -6?\nAnswer: 11230455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1675\/356 + -4\/89. What is the common denominator of -43\/9 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 10*k + 11. Let c be h(-8). Let u = c - -7. Let t(n) be the third derivative of -n**5\/60 + n**4\/12 - n**3\/3 - n**2. What is t(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*6*(2*sqrt(102) - sqrt(102)))\/(-1*(-2*sqrt(384) - sqrt(384))).\nAnswer: -9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - -2. Let y be (g\/(-20))\/(2\/10). Sort -4, -2, -5, y in descending order.\nAnswer: -2, y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(70) + -4*sqrt(70)*-4)*6)\/((sqrt(160) + sqrt(160)*5 - sqrt(40))\/sqrt(4)).\nAnswer: -5 + 102*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -57*(0 + -2)\/(-4 - -6). Let k = 52 - q. Which is the nearest to k? (a) -1\/8 (b) -5\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9604)\/(-147))\/(-28)*(-9)\/(-3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15045 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 9. Suppose 7*w = -16 + 30. What is the least common multiple of u and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 4*y**3 + 2*y**3)*(-70 - 69 - 13)*(5*y + y - 5*y).\nAnswer: -456*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*n + 61*n - 302220. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2)*31\/279\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -998*a - 24064 - 849 - 11715 = -1698 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-2*i - 3*i + 6*i)*(3 - 2 - 2 + (4 - 1 - 2)*(1 - 2 + 0) + 2 + 0 + 0 - 2 + 2 - 2 - 2 + 0 + 4 + 1 + 3 + 12).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**5\/60 - p**4\/6 - 2*p**3\/3 + 12*p**2. Let c(o) = o + 1. Let v(d) = -4*c(d) - z(d). Let w(i) = 14*i. Give v(w(r)).\nAnswer: 196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (82\/10)\/(8\/(-6)) and -2 + 0 - 387\/(-60).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 761*g**2 - 50*g + 2. Calculate i(1).\nAnswer: 713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 3 in decreasing order.\nAnswer: 8, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 663945*p - 5975100.\nAnswer: -5*(p - 132780)*(p - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/444 and -121\/20.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {z: 2, x: 2, m: 11}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.3 and 1.9336.\nAnswer: -29.58408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -63. Which is the closest to 0? (a) -4\/7 (b) k (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 25*p**2 - 7*p - 4. What is l(-2)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g**2 - 3*g + 1. Let d = -7849 - -7852. Give n(d).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 18*l**3 - 3*l + 3. Suppose 2*k = -h - 4*h + 2, 2*k - h - 2 = 0. What is the remainder when j(k) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -108. Let w = -12 + k. Let x = 0 + -0.1. Sort w, x, 0.1.\nAnswer: w, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230 divided by 2754\nAnswer: -115\/1377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1414215 by -2857.\nAnswer: -495","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3\/4 + 2742*w**2 - 3188703*w + 1197682020 = 0.\nAnswer: 958, 1740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6749, -26968, -60689, -107942, -168757?\n\"Answer: -5*b**3 - 6721*b**2 - 21*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3 + 712*d**2 + 1436*d - 5712 = 0?\nAnswer: -4, 2, 714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.09 - 21. Let s = x - 0.12. Let k = 1.23 + s. What is k rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.1 + 13.021. Let k = x - 0.002. Let p = k - -3.081. Is -16 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1614870065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 204.7\nAnswer: -1637.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2630413 by -2.\nAnswer: -2630413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/3530 and 127\/10590.\nAnswer: 10590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 5:15 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 3. Let t(c) be the first derivative of 2*c + 0*c**r - 1\/3*c**3 - 2. Differentiate t(o) with respect to o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/7 in 15.7, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4253841?\nAnswer: 3, 59, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7279?\nAnswer: 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 12*l - 250 + 9*l)*(-4*l + 3*l + 4*l).\nAnswer: -3*l**2 - 750*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -41. Let z(a) = 2*a + 3. Let m(y) = 22*y + 29. Let v(b) = 11*b + 15. Let f(s) = -2*m(s) + 5*v(s). Calculate t*f(k) - 34*z(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 1 (b) 3 (c) 2\/9 (d) -25 (e) 9\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2115*a + 1437*a + 23180 + 62726 - 658 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 12, -10, -30?\n\"Answer: j**2 - 27*j + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4968 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 6342.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-22)*h**(-2\/21)\/(h**5*h) assuming h is positive.\nAnswer: h**(334\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*w = 376*w + 128 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712550723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 15*q**4\/4 - 5*q**3\/3 + 2*q + 20. Solve s(u) = 0 for u.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - j + 20 = 0, -j = o + 2*j. Let l(w) = -w**3 - 6*w**2 - w - 4. What is the units digit of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1026975*l**3 + 512856*l**3 + 513177*l**3.\nAnswer: -942*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -7. Suppose 5*c - 2*c = 3*f + 12, d = -3*c - 3*f + 18. Suppose 616 = c*v + 3*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1184*b - 8145 = 17903 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193 - 186.77. Let u = -3.23 + o. Let g be 12\/(-10)*(-8)\/(-12). Put u, -12, g, 1\/7 in decreasing order.\nAnswer: u, 1\/7, g, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427.2985 litres to millilitres.\nAnswer: 427298.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7251 * -8.\nAnswer: 58008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-9 + 336\/35). Let t(a) = 8*a - a + 0*a - 68. Let u be t(z). Solve -u*y - 5*g = -3*g - 6, -3*y + 2*g = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249 + 104 = -71*f - 134 + 61 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 2*t - 232, 3*g = -4*t + 6*t + 175. What is the highest common divisor of g and 190?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 782330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4384 is divided by 611?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1279849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-21*(-3116)\/(-1722)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 8*l = -30. Sort -4, l, -37.\nAnswer: -37, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 1, y: 1}. Give prob of sequence zy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 175\nAnswer: -17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 7*a**2 - 6*a - 1. Let y be l(6). Let j(v) = 2*v**2 - 6 - 9 + 12 - 15*v. Let h be j(8). Put y, -2, h in descending order.\nAnswer: h, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-four fifths of a millennium?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(208\/(-170) + 2 + 27\/(-45))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (-12 - -6)\/(-6). Solve q*j = -a + 2*a - 13, -a - 5*j - 19 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 10) + -2 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -168 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 4\/29, -1 in ascending order.\nAnswer: -1, -0.02, 4\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 26, 86, 200, 386, 662, 1046, 1556?\nAnswer: 2210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -163c55 (base 14) to base 4\nAnswer: -2332023203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((69\/(-12))\/23)\/(3\/(-12))*-10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63598 - -11?\nAnswer: -63587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -637 + 7005\/11. Is 2.1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f - 5*q + 47 = 45*f - q, -2*f - 4*q = -9*q + 7 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f + 89. Let t be l(-12). Solve 2*b = t*z + 9, -2*b - 5*z - 24 = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 7*c - 5 = 0, -c - 37 = -3*j - 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -3*w + 4*i, 87*i - 82*i = 5*w - 45 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*a**2*g - 107218*a**2 - 36*a*g + 1137910484*g wrt a?\nAnswer: 40*a*g - 214436*a - 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1515703 + -0.03572?\nAnswer: -1515703.03572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 9:26 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 5*h + 3. Let x(a) = -25*a. Calculate x(u(y)).\nAnswer: -25*y**2 + 125*y - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 1359. What are the prime factors of k?\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - w + 1 + (-1 - 2*w + 1)*(-1 - 3 + 2) + 5*w + w + 3*w + 3 - 3 + 2*w + (-3*w - 2*w + 3*w)*(1 - 5 + 0).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2.9, -38674, 0.4, -1\/6, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*r + 8, -3*s - 4*r = -s - 8. Solve 7*f - s*f - 11 = -b, -3*f + 13 = -b for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 11*y**2 - 63*y - 634. Calculate the lowest common multiple of 2394 and g(-12).\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let v(t) = -9*t. What is v(q(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 158*m**2 + 4884*m + 277. Determine r(116).\nAnswer: 1669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g*(g**(-23)*g)\/g)\/g))\/(g**17*g) assuming g is positive.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 - -289. What is the remainder when g is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2016 - 303?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3 - 2*u + 22*u + 0 + 13*u. Calculate the remainder when g(2) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -3\/4*h**2 + 0*h - 1\/2*h**3 + 7. Suppose w(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0. Let j = -28.9 - -27. Let v = 1.5 + j. Which is the nearest to -2\/3? (a) v (b) o (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -753500 to the nearest ten thousand.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3006807, 3006838, 3006869, 3006900, 3006931?\n\"Answer: 31*l + 3006776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q**3 + 3*q**2 + 176*q - 178. Let r be y(1). Put r, -1, -8, 2 in decreasing order.\nAnswer: 2, -1, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(121) - sqrt(121)*2) - -3*sqrt(121)*2)\/(-1*(1*sqrt(891) + sqrt(891))*-4) + -3.\nAnswer: -3 + sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 6 = -2*t, 2*y - 81 = 2*t - 75 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 323, -5299, -5, -1, 5, 0 in descending order.\nAnswer: 323, 5, 2, 0, -1, -5, -5299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frr when three letters picked without replacement from rrfrrzff.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 17. Suppose p + 7 = -r, -p + 3*r = -1 - g. Sort 6, 1, p in descending order.\nAnswer: 6, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 7. Suppose -4*g = -24 - y. Suppose -l - g = -14. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 22*c - 140 = 10*c. Let t = -12\/91 - -606\/455. Put 3, t, c, 0 in increasing order.\nAnswer: 0, t, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 13*m + 5*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 38, 395, 0, 3 in descending order.\nAnswer: 395, 38, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 297\/1584*(-48)\/54?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + 4 - -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 510.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.784302 decades in months?\nAnswer: 334.11624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2077+-8574288263\nAnswer: -8574290340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*r + 16*r - 10 + 8 to q + t*r and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 3*m - 3 = 3*h, 5*m + 15 = 0. Suppose 3*w = 3*v - 4484361, 0*w + h*v = -3*w - 4484361. Let n = 2617787 + w. Round n to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 8:49 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12206 is divided by 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -0.3. Let s = -5 - 5. Let q be -1 - (22\/s - -2). Which is the biggest value? (a) q (b) f (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c - 176. Determine x(-35).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3932*r - 3933*r = -13. Let m(y) be the first derivative of 11*y**3\/3 + 17*y**2\/2 - 11*y - 1. Let l(i) = -5*i**2 - 8*i + 5. Determine r*l(d) + 6*m(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182861 is divided by 199.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*h + 5*h - h)*(25 - 27 - 35 - 10*h - 29).\nAnswer: -20*h**2 - 82*h + 330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from didgjdsgigjjjmmi. Give prob of sequence idm.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/18192 and 139\/82272.\nAnswer: 31181088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -6\/11 (c) -0.06 (d) -0.07 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 + 43. Suppose -50 = -w - 2*c, w - f*c = c + 35. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7992\/7 - 396*g - 3\/7*g**3 + 258\/7*g**2.\nAnswer: -3*(g - 74)*(g - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396782.9m to kilometers.\nAnswer: 396.7829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j**2 - 3*j**2 + 4*j**2)*(-54*j - 20*j**2 + 54*j) + 67*j**4 + 1498 - 1498 to s*j**4 + h*j + p + i*j**3 + a*j**2 and give s.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -139\/4. Let u be 6\/15 - 21\/15. Let k = -1 + u. Which is the biggest value? (a) -1 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbbffufbvvbjffb. What is prob of sequence fuff?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 287398 (base 14) to base 2\nAnswer: 101010110100000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 8*r + 3. Let g(p) = 2*p**2 - 17*p + 7. Let n(a) = 3*g(a) - 7*u(a). Let q be (-7)\/3 - (-4)\/(-6). Let w = 3 - q. Give n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 296a8 + b1a?\nAnswer: 2a606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/366246 and 43\/264511.\nAnswer: 4761198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = -2*a - 23, -5*u + 5*a = -40. Let c be (-14)\/(-4) + (-1)\/(-2). Solve 0 = -g + q + c, -g - u*q = -3*q + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - w + 2 = 2*a, 0 = 2*a + 4*w + 4. Suppose -3*t + 628 = t - 4*q, 0 = -a*q. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 317508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09836 - 1.07164. Which is the closest to -2\/5? (a) -2\/7 (b) 0.3 (c) 1\/4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 6:27 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -24 + 12. Solve 0 = -m*x + 11 + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 7*r = 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3414544.01 to the nearest 1000.\nAnswer: 3415000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, 6, 34, 84, 162, 274, 426?\n\"Answer: z**3 + 2*z**2 - z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 7*w**2 - 4 + 2*w - w**3 + 0*w. Let f be o(7). Factor v**2 + 9*v + 0*v - f*v + 2*v**2.\nAnswer: 3*v*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 296447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + j + 8. Let p be u(0). Suppose -p*s = 6 - 22. Let i be 0 - 2\/2*-3. Solve -3*x = -i*f - 16 - 8, -x - f + s = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22023 (base 4) to base 12.\nAnswer: -463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2678*o**3*y**3 + 248*o**3 - o**2*y**3 - 6005206*o**2*y wrt o.\nAnswer: -16068*y**3 + 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 43?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -8, 1 in descending order.\nAnswer: 1, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -92*u**3 - 2*u**2 + 2*u + 3. Let z(v) = v**3 - 15*v**2 + 3. Let f be z(15). Suppose 0 = 5*d - 4*d + f. Is k(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220 - 22202202?\nAnswer: -22202422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {j: 2, h: 7, t: 2, c: 4, q: 2}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11001 - 11007. Let h(k) = 9*k**3 + 6. Let g(a) = -19*a**3 - 3*a - 16. Let p(z) = -z - 1. Let w(s) = g(s) - 3*p(s). Calculate m*w(b) - 13*h(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 1. Let q(g) = 2*g + 5. Give 4*h(v) + q(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6338*r**3 + 450*r**2 + 471*r**2 - 921*r**2 - 23*r + 23*r.\nAnswer: -6338*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-1)*(-2)\/4. Let j = -269\/5 + 353\/10. Calculate the common denominator of 1 - (3 - o\/(-4)) and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.014233 or -2\/9899?\nAnswer: -0.014233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogq when three letters picked without replacement from {q: 5, a: 2, g: 1, o: 9, x: 1}?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -12. Let j(p) be the first derivative of -7*p**4\/4 + 6*p + 5. Let a(f) = -8*f**3 + 7. Give h*a(s) + 6*j(s).\nAnswer: -2*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146011?\nAnswer: 146011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*d = -0*d + 40, -5*d = -z - 6. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247\/5 - 49. Let t be 2*2\/5*(-15)\/(-12). Sort -2, z, t, -1 in descending order.\nAnswer: t, z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 11 - 12)*((3*g + g - 3*g)*(-4 + 3 - 1) - g - 5 + 5 - g + g - 2*g + 0 + g + 0) as u + x*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 10*j**2 - 16722*j - 50193. Calculate r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -18. Let l = -28 - i. Let v = -7 + l. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.58+5360\nAnswer: 5338.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12693442 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1465, -1482, -1525, -1606, -1737?\n\"Answer: -2*c**3 - c**2 - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 3 - (-3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.12*-573.\nAnswer: -6944.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 4*z = 26*b, -4*z + 8 = 0. Suppose 7*k - b*k = 5*t - 245, 4*t - 208 = -2*k. Is 51 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25*5.082\nAnswer: -127.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -24\/2262367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000038913 to 6 decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -6. What is the tens digit of ((-7)\/(-3))\/(l\/(-162)*3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*r + 932, 0 = -5*o + 2*o - 2*r + 928. Suppose -2*l + o = 5*b - 5*l, 0 = -b + l + 62. Calculate the remainder when b is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 208247878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 + 117*g**2 + 117*g**2 - 318*g**2 + 108*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8242642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -11 + (9 - (13 + -13)) - -13?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a6 (base 12) to base 16\nAnswer: 7e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l**2 - 2*l**2 + 29*l**2 + 1 - 10*l - 3*l**3. Let g be p(4). Let j = g - -43. Solve 4*u = -2*q + 8, j*u - 2*u - 2*q = -2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 14795.8 seconds?\nAnswer: 14795800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 (base 10) in base 6?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 255.4 in 0.2, -222, -18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*z + 6*z**2 - 35*z)*(-3 + 0 + 2)*(-6*z + 4*z + 4*z) as o*z + p + a*z**2 + r*z**3 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*y**2*z + 21*y**2 + y + 2710*z with respect to z.\nAnswer: 3*y**2 + 2710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t + 2. Let o(z) be the third derivative of 5*z**4\/24 + z**3\/3 + 69*z**2. Give -2*o(n) + 3*s(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -b - 5, b + 11 = -4*n + 27. Suppose -13*u = -19*u + 36. Let y(m) = 3*m**2 + 0*m**2 + 3 - u + m**n + 4*m - 10*m. Calculate y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 17229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 13*o = -10. Let j(n) = 1 - o - n + 3*n**2 + 0 - n. Give j(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4051 + 4?\nAnswer: -4044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdttttd. Give prob of picking 4 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -19 - -7 - -116 - 1*5. Calculate the greatest common factor of g and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrmmpmrrppmmrmqgm. What is prob of sequence mrmp?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*r**2 - 209*k**3*r - k**2*r**2 - 273*k*r**2 - r**2 wrt k?\nAnswer: -12*r**2 - 1254*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 6*j**2 - 8*j - 9. Let o be v(7). Let y = o - -35. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 - (-7 - -42) - 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.05187 micrometers to centimeters.\nAnswer: 0.005805187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (248\/(352408\/2233))\/(2\/(-16))?\nAnswer: -88\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from {u: 4, e: 2, q: 5, w: 8}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/((-8673)\/196)*(-1782)\/(-36)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*k + 10, -5*k - 20 = -3*v - 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -360*n - 81214. Determine q(-226).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 314758617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -19, -10, -3, -5, 0 in increasing order.\nAnswer: -19, -13, -10, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184302358?\nAnswer: 2, 23, 1583, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2295*k**5 - 2*k**2 + 2*k**2 + 19 + 1432*k**5 + 1259*k**5 - 109*k wrt k?\nAnswer: 99720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.08815.\nAnswer: -0.026445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 25*w - 59. Let p be z(19). What is the second derivative of -p*o + 3*o**5 + 12*o**5 + o wrt o?\nAnswer: 300*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.1313l in millilitres?\nAnswer: 208131.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42983388 and 2646.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68591179 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*c - 15 = -0*u, -c = 1. Suppose -u*b - 12 = -b, -g + 91004 = -b. Round g to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -7. Suppose -m*a - 2*g = -25, -12 = 4*a + g - 37. Suppose -250000 = -a*p - 0*p. Round p to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**2 + 2*h + 2. Let d = -79 + 84. Let l(t) = -d + 209*t - 220*t + 4*t**2 + 12*t**2 - 6. Determine 2*l(j) + 11*x(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 395. Let h be b(0). Let u = h + -438. Sort 2, 3, 4, u in decreasing order.\nAnswer: 4, 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 7*z = -2*z - 9, 4*z - 12 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*b - 12683 + 12683 - 2*b - 3*b + 6*b + (1 + 4 - 6)*(-2*b - 3*b + 3*b) + b + 0 + 0 - b + 2*b + b)*(0*b + 2*b + 0*b).\nAnswer: 412*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 + 19*t. Let g(k) = -16*k**2 - 55*k. Let j(w) = 4*g(w) + 11*v(w). Let f(p) = -7*p**2 + 6*p. Give -11*f(r) - 6*j(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -225869142*v**4 - 1875*v - 28854.\nAnswer: -2710429704*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -121089 - -121092. Factor 4\/3*m**2 + 0 - 2\/15*m**q + 22\/15*m.\nAnswer: -2*m*(m - 11)*(m + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33990*h - 75 = 33987*h - 3*q, -16*q = -336 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 14459.57ng?\nAnswer: 0.00000001445957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.96 + -3. Let s = -0.04003 - r. Round s to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 6*n + 12*n + n - 41*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(2 - 2 - 92*i)*((-4*i**2 - i**2 + 3*i**2)*(5*i - i**2 - 5*i) + 14 - 14 + 3*i**4 + 3*i**4 - 2*i**4 + i**4).\nAnswer: -1288*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5\/2)\/r*r)\/r**(-14)*r**1*r*r*r\/(r*r**15*r))**(-14) assuming r is positive.\nAnswer: r**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -2\/13, 283 in descending order.\nAnswer: 283, 3, 1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22295, 22343, 22405, 22487, 22595, 22735, 22913, 23135?\n\"Answer: c**3 + c**2 + 38*c + 22255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 1. Let r be (2*p\/2)\/(17\/119). Suppose 530 = 9*f - r*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3786735.1 to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -57882 (base 11) in base 3?\nAnswer: -11020122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(544\/24 - 23) - -22*(-28)\/(-120)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r - 1. Let k(z) = -334*z - 252*z + 596*z + 2. Determine -5*k(x) - 7*s(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37876183 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 + 6*n - 20. Calculate g(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:58 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x. Let d(m) = 18*m + 218. Give -5*a(j) - d(j).\nAnswer: -3*j - 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 13, t: 3}. Give prob of sequence ttpm.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**10*o)**33\/((o**(-1\/5)\/o)\/o)**(1\/49) assuming o is positive.\nAnswer: o**(88946\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001100100001000 (base 2) to base 12.\nAnswer: 82634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1080*d**2 + 1033563*d - 2861. Determine w(957).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*o + 231*o - 66*o = 1340 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 4*g**2 - g - 1. Let u = 2 - 6. Let a be r(u). What are the prime factors of (92\/(-12))\/((-1)\/a)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5094.67 plus 56?\nAnswer: 5150.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-70)\/16) - (-6280)\/(-4760).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 15 = 6*p. Let u = -1 + 0.7. Let t be (-4 + 5)\/10*4. Which is the third smallest value? (a) p (b) u (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 18*y - 14*y = 16, 0 = n + 34*y - 72 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1988.\nAnswer: -1\/1988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 3 (b) -1\/536 (c) -2\/17 (d) 0.01 (e) 2 (f) -9.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13756 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1105134.\nAnswer: -5\/1105134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14052048 to the power of 1\/2, to the nearest integer?\nAnswer: 3749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/104755 and -88\/15.\nAnswer: 314265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -72201725.0029.\nAnswer: 72201724.6029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83127 and 286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s - s + 14 - 3*s. Suppose -63 = -9*k + 2*k. Is j(k) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:08 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 333*u**4*x**3 - 28*u**4*x**2 + 3*x**3 - 8*x**2 - 116 with respect to u.\nAnswer: 1332*u**3*x**3 - 112*u**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 90 = -5*i. Let b = 24 - i. Suppose 5*o + b = 4*n, 4*o + 8 = 3*n + n. Sort -5, -3, o in decreasing order.\nAnswer: o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3822212 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: List the prime factors of 365548.\nAnswer: 2, 91387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 7. Let u(s) = s**3 - 9*s**2 + 4. What is the remainder when 17 is divided by u(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-221)\/442)\/(2 + 9\/(-2)) + 67\/(-260)?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 8:25 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4613*l - m - 4 = -4610*l, 4*m = 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.27 - -3.33. Let l = -2.04 + g. Let x = l - 1.56000191. What is x rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79389 less than -127?\nAnswer: -79516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -2\/5 (b) -25858 (c) -2\/9 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11961)\/(-2)*(-13 + 123\/9) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*a - 2 = 5*a + 16, 0 = 3*r - 17*a - 46 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 + 17)*(2*d - d + 0*d).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*b - 84 - 31, 2*b + 58 = 2*a. Let p = -8 + a. Suppose -5*c + 4*r + p = 0, 0 = -c - 2*r - 2*r - 19. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:25 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c + 3*p = 21, 3*c = -4*p - 7. Let y be (-18)\/27*(-1 + c). Suppose 4*k + 0*k = 0. Solve -2*r - 14 = -y*o, 2 = o - k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6 and ((-680)\/41 + 22)*1\/40?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-16)*w))\/(w**(-1)*w)*w**(-5\/6)\/(w\/(w*w**4*w)*w) assuming w is positive.\nAnswer: w**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001481540544 rounded to seven dps?\nAnswer: -0.0001482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/4 in -17, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3460.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2627 divided by 4961?\nAnswer: 2627\/4961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13530*q**2 - 1362*q**2 + 5162*q**2.\nAnswer: 17330*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233 + 238. Suppose 3*u = 3, -5*r - 7 = -3*u + 11. Let n = 0.3 + 0.1. Which is the third biggest value? (a) n (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2123058769 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/2 - (-3)\/3. Let f = p - 17. Let i be (f\/(-10))\/(25\/500). Are -5 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -6*i + 48. Suppose -8*k = n - 3*k - i, -3*n = -5*k - 49. What is the lowest common multiple of 22 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 6*g = 300. Calculate the remainder when g is divided by ((-1)\/3)\/(2\/(-78)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/(-12) - 80\/480?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -263724.641941 + 263600.642. Let x = 305 - 429. Let j = l - x. Round j to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1024 and 24544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-21\/5)\/(b\/(((b**(-6\/11)*b)\/b)\/b)))**(3\/4))**(-17))**33 assuming b is positive.\nAnswer: b**(56763\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*k - 75, l + 75 = -4*k + 8. Let d(j) = -4*j - 42. Determine d(k).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 45, 119, 263, 501?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 9. Let c(b) = -5*b - 9. Let j be c(-6). Let n be r(j). What is the units digit of (14 + n)*(1 + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4324 and 47564?\nAnswer: 47564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 16. Let q be z*(-4 - (-92)\/12). Let a = q - -26. Solve 0 = -4*g + 8*g - a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.13, -0.3, 0.480467?\nAnswer: 0.480467","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6255\/16 + -391. Which is the nearest to 1\/4? (a) -3 (b) -4\/9 (c) i (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 36*t + 62*t + 8*t - 4*t - 5*t - 33. Let j be p(2). Let f(z) = 7*z**2 - 2*z - 1. Let v be f(2). What is the highest common divisor of v and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89 - (2 - (2 - -2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.2. Let u = 110.1 - 110. Which is the smallest value? (a) s (b) 1\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-13)*12\/32*2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 634 - 3172\/5. What is the fourth smallest value in 0.02, 1, c, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52588?\nAnswer: 2, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*k = 20, -86*k - 90 = -4*r - 88*k. Let n be 3\/12 - (-1011)\/4. Calculate the greatest common divisor of r and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/60 - 13*r**4\/3 + 3*r**2 - 138*r. Factor y(a).\nAnswer: a*(a - 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -143, -135, -111, -65, 9, 117?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75115937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 2*f. Let q be 15\/7 - (-12)\/(-84). Let i be u(q). What is the greatest common factor of 52 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -220, -707, -1432, -2359, -3452, -4675?\nAnswer: -5992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1309 in -12, 2\/2335, -1, -0.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by 1461658.\nAnswer: -105\/1461658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/((16\/(-10))\/(376\/470)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*z + 410 + 48, -2*z = -6. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**5\/15 - 20*s**4\/3 + 800*s**3\/3 + 3*s**2 - 2. Factor i(y).\nAnswer: 4*(y - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*v**2 + 24*v**3 - 28*v**2)*(21 - 2*v + 28 - 51 - 2*v**2).\nAnswer: -48*v**5 - 48*v**4 - 48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*t + t. Suppose -m + 2*i = 2 + 2, 4*m = 2*i + t. Suppose 0*n - 5 = -3*k - 2*n, -m*k - 2*n = 0. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 25*q**4 - 860*q**3 - 156460*q**2 + 62720*q = 0.\nAnswer: -64, 0, 2\/5, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 6:22 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 + 34 = -2*d. Suppose 0 = 3*f - d - 13. Let j = 114 - f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*q - 23 = 0, 3541*q - 3542*q - 17 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17) + 4 + sqrt(34)\/sqrt(2) + 1.\nAnswer: 5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 7. Let z be q(-7). Let r be (11 - 9) + (z - 0). Let f = 0 - -0.2. Which is the closest to -1? (a) -0.1 (b) f (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7.4. Which is the smallest value? (a) -0.2 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 3*y)*(5 - 5 - 2)*(1 + 5 - 31)*(2*y + 0*y + 0*y) to p*y**2 + k + q*y and give p.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i**2 + 2. Let m(a) = 2*a. Give m(l(y)).\nAnswer: 16*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2310 + 0.4498.\nAnswer: 2310.4498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10560, 74505, 248060, 586029, 1143216, 1974425?\n\"Answer: 9134*u**3 + u**2 + 4*u + 1421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*((5400\/15)\/(-8))\/7.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/45 + -14*(-6)\/63\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, d: 2, i: 7}. Give prob of sequence idi.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91.3 - -95.79. Let n = p + -2.35. Let i = 0.14 - n. Which is the third biggest value? (a) 4 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15621*i + 15608*i = -260832. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffliiiiflvfjjf. What is prob of picking 2 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 192*j**3 + 408*j**2 + 768*j - 1584.\nAnswer: -3*(j - 2)**2*(j + 2)*(j + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(2\/9)*(i\/i**2)\/i*(i\/((i**(-4\/5)\/i*i)\/i*i))\/(i\/(i*((i\/i**4)\/i)\/i)) assuming i is positive.\nAnswer: i**(-179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/682 and 43\/6.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/2 - 5*l**3\/6 - l**2\/2 - 5*l. Let c be w(-4). Let n be c\/325 - 2\/10. What is the third smallest value in n, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-u + u - 5*u)*(20 - 39 + 21).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by -5\nAnswer: -86\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63440\/171 + -371. Let y = t + 131\/12654. Is y at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n**4 - 53 + 79 - 38)*(0 - 4 + 1).\nAnswer: -33*n**4 + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1184 + 1204 = 2*p + p - 4*m, -5*p + 76 = 4*m for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/1 + (8 - 0). Suppose -y*h + 35 = -3*h. Solve -s = -h*a + 1, 3*a - 6*a + 7 = s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 2. Let f be w(4). Suppose 4*t + f = -3*r, 5*t - 4*r = -3 + 16. Let j be (t\/((-3)\/(-6)))\/2. Sort -4, j, 5 in increasing order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d + 3 = -38*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1 + (sqrt(25)\/(-5*sqrt(10)\/sqrt(2)) - 6*(sqrt(500) + -1)))*4)**2.\nAnswer: -9632*sqrt(5) + 1451616\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 148*b**2 + 714*b - 286. What is l(-143)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14085540*p**4 - p**3 + 2*p**2 + 9839641*p - 2 wrt p?\nAnswer: 338052960*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 2*d - 17. Determine n(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/3*-204 + 8. What is the highest common factor of 104 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2316 + 2324. Solve j*t - 9*t + 5*w + 18 = 0, -2*w - 12 = 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/5 + -38\/35. What is the nearest to 1\/3 in -0.1, f, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 668786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 42902.\nAnswer: 42897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 3 (c) -684 (d) 0.3 (e) -0.0563 (f) -5 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2741\/304 - 792811\/19760. Let z = 89309\/2340 + l. Let d = 98\/9 + z. What is the closest to 0.2 in 2\/9, d, -0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -527408 + 0.4.\nAnswer: -527407.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -316, -338, -380, -448?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0722793066 and -0.4?\nAnswer: -0.02891172264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-3)\/9)\/(4\/(-84)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-93)\/(2 - ((-5)\/(-15) - -2)). Let y be c\/21 + (-2)\/7. Suppose -o + 21 = 2*i - 132, -2*o = -5*i - 261. What is the greatest common factor of o and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -529358 greater than or equal to -529362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - d + 483. Is 7 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380309.\nAnswer: 380309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138959 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/484, 54, -4.46 in decreasing order.\nAnswer: 54, -1\/484, -0.4, -4.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-5) - (-1 - -8). Sort 1, 2, t in ascending order.\nAnswer: t, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h - 1. Let s(o) = -239*o**3 + 4*o + 6. Calculate -6*d(m) - s(m).\nAnswer: 233*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2. Let t(g) = 1032*g**2. Determine t(c(y)).\nAnswer: 4128*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 859793 to the power of 1\/3, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, s: 2}. What is prob of sequence svs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c9a61 + 59?\nAnswer: 2c9aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17738089783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 110933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r + 12. Suppose -r*d + 15 = 39. Let g(n) be the second derivative of n**4\/12 + 7*n**3\/6 + 2*n**2 + 4*n. Determine g(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -2*q**3\/9 + 59*q**2 - 93. Let k(d) = 0. Calculate d.\nAnswer: 0, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w - 4*w + 2*w + (0*w - 6*w + 4*w)*(-3 + 4 + 0) + 1 - 1 + w + 6*w - w - 4*w + 1 + 11 - 11 - 3*w to the form p + u*w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3112, 6234, 9366, 12508, 15660?\n\"Answer: 5*x**2 + 3107*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 2. Let t be f(2). Solve 3*g = n + 9, 2*n + 2*n - 4*g = -t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 283*l + 103. Is v(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416.8825 kilometers to micrometers.\nAnswer: 416882500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 - 866467.5.\nAnswer: -866467.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 2*z = 0. Solve z = -2*j - 0*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172045.\nAnswer: 5, 7, 33487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight fifteenths of a week?\nAnswer: 18816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + -69 - (-1 + 11) - -26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 14*s**3 - 25 + 6*s + 48 - 6*s as o*s + g + u*s**2 + b*s**3 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -4 (c) -1\/3056\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(396))**2*-5 - (-2 + (sqrt(396) - (0 + sqrt(396))))**2)*3.\nAnswer: 29760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 13*z**2 + 65. What is the tens digit of d(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 220, 326, 424?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - 25*u**2 + 25*u**2 + 2*u**3 - u**3 + 0*u**3 + (-u**2 - 2*u + 2*u)*(-u - 2 + 2) + (4 - u - 4)*(4*u**2 + u**2 - 6*u**2).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (130\/(-26) + -369915) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8571374779.\nAnswer: 11, 779215889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3\/(9\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 - 4981*p + 61 - 7*p**3 + 4981*p.\nAnswer: -2*p**3 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + z - 4. Let l be q(4). Let c = 9 - l. Let k = c + 56. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 5*u = 5*m - 11, -4*m - 4 = 0. Suppose -3*p = p - u. Solve 0 = -2*k - 3*t - 10, 4*k + 2*t = -p*t - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652844.\nAnswer: 2, 163211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyy. Give prob of picking 3 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 69042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v. Let b(g) = 101*g. Give b(p(a)).\nAnswer: -202*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 421, -32 in descending order.\nAnswer: 421, 3, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 5*q**2 - 2*q - 10. Calculate n(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(((-4)\/6)\/(112\/(-252)*24))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422883353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/20 - v**2. Let o = 15 - 7. Let f(m) = -6*m - o*m - 3*m. Determine f(a(n)).\nAnswer: -51*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 387613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Let l = -1 + z. Calculate the remainder when 5 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 241011 + 65591 = 0. Let y be p\/8 - 1\/2. Suppose -i - i - 4*q = -2092, -y = -3*i - 4*q. What is i rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*k = -3*p - 92*k - 1, 0 = -8*p + 3*p - 10*k + 16 - 31 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 10 = -4*h, -6*h - 1 = -4*h - 3*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -25 + 4. Let s(i) = 2*i**2 - 6*i - 6. Let h(k) = -2*k**2 + 7*k + 7. Let z(w) = q*s(w) + 6*h(w). Let n(m) = -5 + 5 - m. Calculate z(n(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*c = 2 - 8, 15 = 3*c. Is 35 - (-3)\/(-5 + h) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 23*f**8\/336 - 7*f**4\/4 + 5*f**2. Find the second derivative of m(x) wrt x.\nAnswer: 460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1781 = 2*x, -w - 5*x + 27 + 561 = 0. Suppose -w = -7*i + 856. Suppose o - i = -5*g - o, 3*g + o = 125. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(6) + sqrt(6)*6*-4 - sqrt(6)))\/(sqrt(147)*2*1).\nAnswer: 48*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 129.564kg?\nAnswer: 129564000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-7 - (-5 - (-4 - 0))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, y: 10}. What is prob of picking 2 l?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 AM and 8:12 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/227, -4, 2.19 in decreasing order.\nAnswer: 3, 2.19, 2\/227, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1463*c + 174. Is n(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 29*r. Let z(v) be the second derivative of -v**7\/2520 - 11*v**4\/12 + 11*v. Let c(y) be the third derivative of z(y). What is w(c(g))?\nAnswer: -29*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 20*y - 1. Let o be k(20). Let q(i) = 211*i**2 - i. Is 53 a factor of q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 140 - 52 = 0. Let w be ((-48)\/5)\/4*(-60)\/z. Calculate the greatest common divisor of 174 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -69. What are the prime factors of ((-58)\/(-3))\/(1 + 21\/q)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.5, -45, 0.3, -1.6, 0.2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/114*288\/(-252)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 less than -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x = -24*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011 - -1101101110?\nAnswer: 1110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6782193 take away -10248.44?\nAnswer: -6771944.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 159*r + 22556. Give z(-142).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*p**3 + 5*p**2 - 5*p**2 + 148*p**3 + 97*p**3.\nAnswer: 299*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k + 224 = 61*k. Put k, 4, 5 in descending order.\nAnswer: k, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150883 - 1117. Let r be (i\/6)\/(2\/750). What is r rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -4 - (-2 - -6) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 3*a**2 + 4*a**2)*(3*a**2 + 6*a**2 + 0*a**2)*(-4*a - 1 + 1).\nAnswer: -72*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2696592\/7 - 790593\/2. Let z = -10064 - b. Let q = -4\/7 + z. Which is greater: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a factor of 174810995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/5 - 477*s**2\/5 + 3*s\/5 + 477\/5.\nAnswer: -3*(s - 1)*(s + 1)*(s + 159)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -23*t**2. Let p(g) = 139*g - 10. Let f(m) = 74*m - 6. Let j(s) = 5*f(s) - 3*p(s). What is j(r(q))?\nAnswer: 1081*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4559, 1, -3 in descending order.\nAnswer: 1, -3, -4559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**8\/6720 + z**7\/1260 + z**6\/720 + 7*z**4\/12 + 36*z. Let s(r) be the third derivative of f(r). Suppose s(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**5\/10 - 13*g**2\/2 + 9*g + 3. Let o(v) be the first derivative of s(v). Find the first derivative of o(q) wrt q.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18558 is divided by 664?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 4551*f - 206812. Calculate z(45).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 6*p - 10. Suppose -22 = -7*r + 20. Suppose r = -4*b - 6. Is o(b) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145288 and 13156.\nAnswer: 3341624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 - 1\/4*b**4 - b - 5\/4*b**3 + 0 = 0 for b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847346018 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 8*b + 8. Let h be o(-8). Let l be (16\/h)\/((-1)\/(-2)). Solve 3*d - d - l = 2*g, -2 = -d - 3*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -693, -72, 963, 2412, 4275, 6552, 9243?\nAnswer: 12348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00841 to four dps.\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 7*q**2 + 3*q**2)*(-q - 1 + 1) - 7*q**2 + 7*q**2 + 3*q**3 + (-q - q + q)*(-2*q**2 + 0*q**2 + q**2) - 2*q + 2*q - 3*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 1 c when three letters picked without replacement from jjjhneecnjjechjnej?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/3 + 9*l**3 - 25*l**2 + 73*l\/3 - 8 = 0 for l.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + (-6)\/12)*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**4 - 22*d**3 - 2*d**2 - 1. Let i(o) = 30*o**4 - 710*o**3 - 65*o**2 - 60*o - 35. Let f(c) = -i(c) + 35*u(c). Factor f(l).\nAnswer: 5*l*(l - 12)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2298 - -1373. Let t = i - -1580. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*y - 45 = 176*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116078.\nAnswer: 2, 127, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (8 - (31 + -63))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 5220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/1470 and -53\/2310.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157 + 10*o**2 - 2*o - 193 + 341 to r + w*o**2 + x*o and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/10)\/((-111)\/555).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 29*f**2 + 7*f**2 + 15*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2126 less than 8.8?\nAnswer: 2134.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 332758.26us?\nAnswer: 0.00000385136875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1101.2 + -1101. Which is the closest to u? (a) 2\/11 (b) 0.4 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74162, -74148, -74136, -74126, -74118?\nAnswer: -74112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59781 is divided by 7455.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3665532 and -119\/260?\nAnswer: 18327660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4679469g in nanograms?\nAnswer: 467946900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -27. Does 3 divide (27\/p)\/((-7)\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.6 - -8.6. Let l = -47 - k. What is the third biggest value in -1, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5476 minus 0.1?\nAnswer: -4.6476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2858 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/4 + 10*f**3\/3 - 7*f**2 - 10*f + 7. Let y be h(-11). What is the first derivative of 18 - y*s - 29*s + 56*s wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1836)\/(-510)*110\/99\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160063488211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 659099, 1318193, 1977287, 2636381?\n\"Answer: 659094*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58.9 + 59. Sort o, 1\/2, -0.5, 1.\nAnswer: -0.5, o, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*r + 170 = -31*r + 2234 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:52 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 450 - 15. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -304) + (-13 - (9 - 19)). Calculate the highest common divisor of o and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 2, -12753?\nAnswer: -12753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988922 to the power of 1\/2, to the nearest integer?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 138*g - 3 - 279*g + 139*g. What is u(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 6 + 3)*(-1 + 4 - 5) + 21 - 14 + 47)*(l**3 + 0*l**3 - 2*l**3).\nAnswer: -52*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.56 - -1.5601759. What is b rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 10:46 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(-1 + sqrt(567)) + sqrt(567) - (-3 + (4*-1*sqrt(77))\/sqrt(11)))**2.\nAnswer: 32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -n + 148. Calculate the highest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 215, 421, 625, 827, 1027, 1225, 1421?\n\"Answer: -k**2 + 209*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 5*h**2 - 4*h + 9\/2*h**4 - 3 + 32\/3*h**3. Factor k(a).\nAnswer: 2*(a + 1)**2*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203285.\nAnswer: 5, 109, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5850 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0364166 - -0.2813676. Let o = 0.245 - k. Round o to six dps.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from udgnyuq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.0257226 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**(13\/4)\/j)\/j*j*j**(28\/5) assuming j is positive.\nAnswer: j**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 40?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -493140386*j**2 - 146658436.\nAnswer: -986280772*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.343319 rounded to 2 dps?\nAnswer: 158.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130734*x + 130765*x + 1488 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -3*p + 7*p. Suppose d = -4*d + p. Solve d*o = 3*o - 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/13)*m**(-23))\/(m\/(m\/(m\/(m*m**(-4\/29)*m)))*m)**(2\/121) assuming m is positive.\nAnswer: m**(-1038768\/45617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -55. Suppose 4*a + 12 = 5*g, 3*g - 4*a = -d*a - 12. Suppose g = -r + 1 + 89. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**2\/2 - t + 33. Let x(a) = 5*a - 5. Let l = 14 + -40. Let s = l - -25. Calculate s*x(y) + 4*b(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11a + -10?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -8116 and -8110 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -84 + -145?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 721890586 to the nearest 1000000.\nAnswer: 722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/((0 - -1)*(-192)\/838208)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 - 39*z - 36. Let p be o(-12). Solve -4*a + 0*a + 4*m + 20 = p, -7 = -3*a - 5*m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4.3, -19, -3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.821 - 0.021. Let d = c + 1.2. Let h = -9.999956 + d. Round h to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4243310 (base 5) to base 16\nAnswer: -11819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/5)\/(j\/(j*j**(-14))) assuming j is positive.\nAnswer: j**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -225\/562 - 28\/281. What is the nearest to w in -16, 17, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let i be t(-6). Let v = i - -34. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-5)*20\/8. Suppose 0 = -q*n + 5 + 3. Calculate the remainder when 63 - -1 - n\/(-2) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 5331*t**3.\nAnswer: -5331*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 3:48 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10822547, 10822549, 10822551, 10822553?\nAnswer: 10822555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, -4, -418 in ascending order.\nAnswer: -418, -13, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 11*b**2 - 6. Let s be i(-11). Let h = -3 - s. Factor -3\/5*n**4 + 1\/5 + 1\/5*n**5 + 2\/5*n**2 - 3\/5*n + 2\/5*n**h.\nAnswer: (n - 1)**4*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 18, 8, 0, 2 in ascending order.\nAnswer: 0, 2, 8, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**4\/3 + 32*z**2 + 2*z + 152. Let q(h) be the first derivative of l(h). Suppose q(x) = 0. What is x?\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -110, -126, -150, -182, -222?\n\"Answer: -4*h**2 - 4*h - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, 4, 16, 0, -79 in decreasing order.\nAnswer: 16, 9, 4, 1, 0, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -140, -142?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - 197. Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 10 = 3*q - 2, 2*m = 3*q - 4. Let j be (1 + -5)*(-4)\/m. Is -2 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q - 6*q - 10*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5*j + 3*c - 4 = 0, -3*c = -4*j - 8. Let h be j - 252700014\/(7\/(-1)). What is h rounded to the nearest one million?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/4))\/(x\/x**(-2\/11)) assuming x is positive.\nAnswer: x**(-19\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*q = -4*w + 127, 2*q + 168 = -4*w + 118 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose -3*k - 25 = -2*o, x*k = -o - 0*o - 19. Let p = -47\/5 - k. What is the third smallest value in -1, -3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*s - 3477*s**3 + 4880*s**3 - 35*s - 32*s.\nAnswer: 1403*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3658 (base 13) in base 6?\nAnswer: 55314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14001452747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10100 + 11700. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7412617 and -7412615 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*u + d, -4*u - 4*d = d - 41. Let y(i) = i**3 - 4*i**2 - 5*i + 7. Let l be y(7). Let j = l + -114. Calculate the least common multiple of u and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maivdim. Give prob of picking 1 a and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2928 - 660. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - (-4 + 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275 = -5*l + 5*d, -2*d = 3*l - 148 - 22. Suppose 4*v - l = 4*p, 0*v + 3*p = -4*v + 28. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 34650*x - 242594. What is h(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -14?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1692231, 3384457, 5076683, 6768909, 8461135?\nAnswer: 10153361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/90 - 1\/(-6). Suppose f = -4*z - 2*v + 106, 63 = 2*z + 2*v + v. Let y = -16 + z. Solve w + 3*w = y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1 = -3. Let g(d) = d**2 + 14*d + 9. Let b be g(-13). Let q = f - b. Solve 5*t - q*o = 10, -t + 6*t - 5*o = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -y - 1, -5*z = 5*y + 3 + 2. Suppose 3*q = -z*q - 51. Let s = q + -573. What is s rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -109*h**2 - 23*h - 69. Let s(j) = j**2 - 2*j. Let o(y) = -f(y) - s(y). What are the prime factors of o(-3)?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + 1*(sqrt(12) - (sqrt(768)*-3)**2)*-4 + 3).\nAnswer: -32*sqrt(3) + 110596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**3\/6 + 2*f**2 + f. Let q be x(0). Solve -q*p = -6 + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33599\/14 - -2400. Suppose h = -4*h + 15. Sort h, v, -1.\nAnswer: -1, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {k: 1, i: 4, g: 8, t: 1, n: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -23*t + 6. Let d(r) = 20*r**2 + 3*r. Determine d(h(w)).\nAnswer: 10580*w**2 - 5589*w + 738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*x - 153*x = 5*l - 4, 3*x - 12 = 0. Let h(p) be the first derivative of 0*p**2 + 1\/4*p**4 + l*p - 18 - 1\/6*p**3. Determine t so that h(t) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -19038*k + 19035*k. Which is the closest to -0.8? (a) 4 (b) k (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i + 11*i - 9 - 22*i + 4 as g*i + m and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 100202 (base 3) in base 5?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 0*k**3 + 2*k**2 + k**2 - 7 + k**3 - 2*k + 2*k**2. Let q be f(-5). Suppose -y + q*x - 4 = -3*y, -8 = -y - 3*x. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/10)*r**(4\/3)*r\/(r*r**(5\/4)*r)*r\/r**(7\/4))**46)**(2\/67) assuming r is positive.\nAnswer: r**(-2438\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 188.9 (b) 0.03 (c) -0.11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/((-3)\/(-36)). Suppose -15*x - 9 = -69. Differentiate 194*w**x - 319*w**f - 26 + 158*w**4 wrt w.\nAnswer: 132*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11250*c**2 + 11300*c**2 - 22562*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264926 is divided by 649?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -64 times 0.8\nAnswer: -51.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-252)\/(-16) + 2\/8. Let m = 157 + -142. Let u be m\/(-9) - (-101)\/3. What is the highest common factor of g and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 + 18c1ca?\nAnswer: 18c192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 24*x + 3600. Let f = x + 125. Suppose 2*h - 2 = -2*p, -h = -p - p - 13. Solve -f*i - h = -0*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 12*s - 21. Let z(j) be the first derivative of 9 + 8\/3*j**3 + 24*j**2 + 85*j. Let b(g) = 26*c(g) + 6*z(g). Factor b(n).\nAnswer: -4*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6262)\/(-62) - -50 - 74?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 96 - (11 + 65)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(-2\/7)))**(-5\/3)\/(q\/(q*q\/(q\/q**0)))**(-20))\/((q**(-1\/3)*q)**(-37))**(-1\/5) assuming q is positive.\nAnswer: q**(-131\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(176)*-1)**2 - (4*sqrt(176) + 1)**2.\nAnswer: -2616 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2 + 2*a**3 - a**3 + 7*a**2 + 7 - 9*a + 19*a. Let s be x(-9). Let k be s\/(6\/(-27)*1). Calculate the highest common factor of k and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -0.15, 5, -2\/7, 2, 38?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000972770518 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.069 - -0.231. Which is the fourth biggest value? (a) v (b) 0.05 (c) 10 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -3)**2 + 1 + -2*sqrt(17) + (sqrt(1088)*-2 + sqrt(153)*-5)*-5 + 1.\nAnswer: 105*sqrt(17) + 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -5, -4.5, -2\/9?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -80, -109, -150, -203, -268?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 + (22 - -146 - 207).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7186, -14388, -21600, -28828, -36078?\nAnswer: -43356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967529?\nAnswer: 967529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 416868843.00000024 - 416868861. Let c = 18 + k. What is c rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -318 - -315. Let h be 96\/w - (-24)\/(0 + -4). Is h <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - 55*w + 20. Let c = -45 - -48. Let u(z) = 2*z**2 - 19*z + 7. Let a(r) = c*p(r) - 8*u(r). Determine a(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 282395836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 5. Let p(s) = 6*s**2 - 23*s**2 + 11*s**2 + 7*s**2. What is h(p(a))?\nAnswer: 3*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 - 91 - 3*f - 83.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = s, 4*d + 4*s + 21 = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 + 43*l + 66. Give r(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 752 - 751.969. What is h rounded to 3 dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 718448 and 1063.\nAnswer: 763710224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15\/8*-2)\/(35\/(-140)). Solve 2*s + 15 - 40 = -3*q, q - p = -2*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 49.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29589987*k**3 - 126431*k + 961.\nAnswer: 177539922*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -12. Let i(o) = -o**3 - o**2 - 3*o - 1. Suppose -4*y - 24 = -3*l - 129, 3*l + 57 = 2*y. What is the remainder when y is divided by i(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 2010.\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 7*o**2 + 9*o + 8. Let q be k(-6). Let v = 12 + q. Let a be (-1 + 0 - -2) + v. Put a, 4\/7, 0.3 in increasing order.\nAnswer: 0.3, 4\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 178155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-15))\/(2\/210). Let m be (-6)\/(-9)*b\/4. What are the prime factors of (m\/(-2) + 2)*-4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 2. Suppose 3*u = -4*u + 14. What is w(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 4 (b) 0.2 (c) -2\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - b + 1. Let u(y) = -y**3 - y**2 + y - 1. Let s be 20\/6*126\/105. Give s*u(m) + 4*o(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1951 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 5\/2 (b) -2 (c) 8525 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/1)\/((-4)\/(-6)). Differentiate -51 + 42 - 22*o**z + 7*o**3 wrt o.\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*2*(-115 + 111 - 126\/(-32)). Solve 2\/19*r + l + 4\/19*r**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0825*-0.3.\nAnswer: -0.02475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*j - 187 = 305, -3*j = 4*z - 524. Let k be z\/(-48) + 4\/(-6)*-3. Put 1\/7, 4\/5, k in descending order.\nAnswer: 4\/5, 1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1288*z**2 + 1291*z**2 + 1303*z**2 - 3851*z**2.\nAnswer: 31*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 + 379. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 9 + 861 = 0. List the prime factors of l.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*u - 374165 = -120*u + 4900387. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424379 divided by -5113?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zccc when four letters picked without replacement from czzccccccc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + 2011112002000222?\nAnswer: 2011112002000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776212309?\nAnswer: 17, 43, 113, 21503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144 minus 123271?\nAnswer: -122127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -7008*h - 168204. Give x(-24).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 70.6. What is p rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.76528208 * 0.3\nAnswer: 0.829584624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -73. Let p(v) be the first derivative of v + 2 + 1\/5*v**5 + 0*v**4 + 0*v**2 + 0*v**m. Find the first derivative of p(q) wrt q.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76818480 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3291\/16 or -206?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 3*v = 10. Let n be 17\/((v\/(-2))\/(-1)). Let u = n + -1. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2\/7, -2\/7, -1\/65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/220145 and 83\/528348.\nAnswer: 2641740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/6861 and 37\/12.\nAnswer: 27444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1594*f**2 + 8*f + 6. Let j(x) = 4780*x**2 + 25*x + 19. Determine 19*b(g) - 6*j(g).\nAnswer: 1606*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/((-48)\/(-12))*88\/(-44)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1973 - 1985. Sort 5, -4, g, -0.3 in decreasing order.\nAnswer: 5, -0.3, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/18)\/((-2)\/(-6))*-6. Solve -5*k + 5*d = 0, -5*k + 6*d - g*d + 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113301 + -10?\nAnswer: -2113311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -282, -491, -700, -909?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 + 35*u - 172. Determine n(5).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110)*2 - sqrt(110))) + sqrt(110))*3)\/sqrt(10).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.1 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -16*c**5 + 73*c**4\/4 + c**3\/3 - 68*c. What is the third derivative of h(w) wrt w?\nAnswer: -1920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34028, -34135, -34240, -34343, -34444?\nAnswer: -34543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.56 (b) 97 (c) 4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17464 or -386?\nAnswer: -17464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 845*f**4 - 711*f**3 - 15*f**2 + 300873*f - 2 wrt f?\nAnswer: 10140*f**2 - 4266*f - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*j = 5, 2*j + 1 = 3*k - 4. Let v = -4325\/3 - -1421. Let r = 21 + v. Which is the nearest to 0? (a) -1 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -16. Suppose -2*c + 5*c - 5*u = p, -3*u - 6 = 0. Let w = -2 + 5. Solve 0 = c*n - 5*f - 6 - w, -n - f = 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 546 - 375. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -33. Let c = y + 26. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(2\/5)))**(6\/5))**(6\/11) assuming i is positive.\nAnswer: i**(72\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 32. Suppose 96 + q = -3*c. Let x = -34 - c. Calculate the greatest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l - 5. Let v = -339 + 332. Let n = -14 - -19. Let i(f) = 4*f + 9. Let o(b) = 8*b + 19. Let j(q) = -5*i(q) + 2*o(q). What is n*j(k) + v*c(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - (-24192)\/(-1736)) + 53\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 12:02 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/6*(5\/(-7))\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 52 - 51 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*i + i**2 + 58*i + (-3*i + 4*i + i)*(-4*i - 2*i + 5*i) to x + g*i + s*i**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/3)\/(n*n\/(n**(3\/4)\/n*n)))\/(n**0)**49*(n**(-1\/3))**(-2\/115)*(n*n*n**(-2\/7))\/(n\/n**(-1\/5)) assuming n is positive.\nAnswer: n**(-19931\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182899 = -78*m + 182977 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 11 - 5. Suppose -2*x + 5*x + 4*t + 7 = 0, t + 6 = -5*x. What is the nearest to x in c, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1306.24 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9521*d - 323718. What is v(-34)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/300 and -103\/21200?\nAnswer: 63600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:14 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {n: 2, e: 1, o: 3, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*9\/324*6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2587 is divided by 131.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyanyyaannqnanyy. Give prob of picking 1 y and 1 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 10:31 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - h**2 - 2*h**2)*(0 + 2*h**2 + 0)*((3 + 1 - 3)*(0*h + 0*h + h) - 3*h + h + 5*h + (2 - 3 - 2)*(27*h - 3*h + 9*h)).\nAnswer: 190*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of j**4\/12 + 4*j**2. Let n(h) = h + 1. Let y(i) = 4*i + 5. Let b = -2 + -28. Let w(c) = b*n(c) + 6*y(c). Give r(w(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 7*y - 11. Let p = -24 - -53. Suppose p - 13 = t. Is z(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + (-3)\/(3\/(-4)). Let w be (-8)\/n + 3\/(-15). Sort 3, w, 2 in decreasing order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 4:22 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121102, -240415, -359716, -478999, -598258, -717487, -836680?\n\"Answer: t**3 - 119320*t - 1783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220012 + 20210?\nAnswer: 1010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3 = -d, -d + 173 = -3*f + 160 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*v = -2, -4*c + 5 = -5*c - 2*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -209*a**6 + 2*a**4 - 4*a**2 - 2*a - 2. Let s(g) = 2*g**6 - g**4 - g**2 + g - 1. Let w(y) = 2*s(y) + t(y). What is the third derivative of w(u) wrt u?\nAnswer: -24600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 - 68.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 14*t**2 - 16*t - 13. Suppose -4*n = -9 + 61. List the prime factors of i(n).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) -0.2 (c) -31 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(539) + sqrt(539) + 3 + sqrt(539) + -5 - (-3 + 2*sqrt(539) + -2))*1*3)**2.\nAnswer: -13608*sqrt(11) + 177552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (0 + 0 - 0). Suppose -4*f = -s*f - 20. Suppose -f*x = -64 + 9. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24488*-4\nAnswer: 0.97952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28015079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2429 (base 10) to base 8.\nAnswer: -4575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:48 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, y: 2, i: 2, j: 1, r: 2, z: 3}. Give prob of sequence zizi.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -72. Let n(s) be the third derivative of 1\/60*s**5 + 0 - 1\/3*s**g - 4*s**2 + 0*s + 1\/24*s**4. What is y in n(y) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-9)\/45)\/((-4)\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -189*s**2 + 0*s - 1\/120*s**6 - 2\/3*s**3 + 1\/30*s**5 + 0 + 1\/24*s**4. What is f(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.21. Let g = 4.59 - y. Let c = g + -2.5. What is c rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 10*u - 2. Suppose 5*t - 2*q = 1485, -u*q = -4*q. Calculate the greatest common factor of t and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10245 (base 8) to base 9\nAnswer: -5754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)*-31 - 3. What is the remainder when 19 is divided by (-1)\/(1 + (-32)\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 0*v - 3*v + 2*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*r - 8695 = -r, 4*o - 2*r + 6964 = 0. Let n = -1244 - o. List the prime factors of n.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/10 - (-3)\/(-15). Suppose 0 = -y*p + 5*p - 68. What is the greatest common divisor of 51 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -21. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2 - 16*t + 2*t + 15*t. Let w be v(8). Let c be (2\/(-2))\/((-2)\/30). Calculate the highest common divisor of c and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 841 + -833. Calculate the lowest common multiple of a and 31.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*b - 69, -4*b + 77 = -14*n + 9*n. Suppose 4*j + b = 438. Suppose -27*a = -22*a - j. Solve 5*r + 4 = -a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -33*u**2 + 2395*u - 1367. Calculate t(72).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25859232 by 6.\nAnswer: -4309872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*g + 305824 = 311284 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -386, -749, -1102, -1439, -1754, -2041?\nAnswer: -2294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4464141 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 665 + -657. Suppose -3*g - 53 = 5*u, 3*g + 4*u = c*g + 76. Is -2 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 6*q**2 - q + 8. Suppose 6 = 5*w - 4*w. Let y be h(w). Find the third derivative of -v**2 - 4*v**5 + 8*v**2 + y*v**2 - v**5 wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.9. Which is the closest to w? (a) 1 (b) 6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f - 15*f = 4*l + 16, 0 = -4*f - 12*l - 76 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 23 = -5*n. Let y be (n\/(-7))\/(-1 - 18\/(-14)). Suppose -3*r - 160 = -4*h - y*r, h + 4*r - 53 = 0. List the prime factors of h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 - -370.8.\nAnswer: 383.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - d + 5. Let x(j) = -j**2 + j + 1. Suppose 0 = 5*f - 12 - 13. Let n(t) = f*x(t) - y(t). Let v(i) = 140*i**2 - 119*i. Give -119*n(s) - 6*v(s).\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2689217233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23076.94 * 30\nAnswer: -692308.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10*i + 610. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1462*p + 2939*p - 1475*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -5. Let v(n) = n**3 + 7*n**2 - 7*n + 9. Let d be v(m). Suppose -5*h - d = -6. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9338 and 50722.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 74581?\nAnswer: -2461173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -287.436 - 0.764. What is f rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -22*m - 13. Let u be v(-1). Let a be (u\/(-12))\/((-10)\/40). Solve -a*h = 3*i, -h + 3*h = 5*i - 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 126. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**7\/1260 - h**5\/180 + h**3\/36 + 2*h**2. Factor t(m).\nAnswer: (m - 1)**2*(m + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*i + g, 42 = 4*i - 2*g + 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 25, 10, 15, 46, 109, 210, 355, 550?\n\"Answer: w**3 + 4*w**2 - 34*w + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30320 + -10?\nAnswer: 30310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbbbbtb. What is prob of picking 3 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1422135 (base 7) to base 13\nAnswer: -688b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 70 - 106. Calculate the highest common factor of s and 4336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 729378701?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 562193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 1. Let d = -4 + 13. Let v be p(d). Solve 0 = -3*c - 5*o + v, 4*c - 19 = -o - 0*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58438.2093 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*a = 3*x - 2, 4*a - 22 = -3*x. Suppose 3*j = -3*n + 9, -x*j - n - 1 = -10. Let m be j\/5*140\/(-21). Sort m, -2\/9, -0.3 in increasing order.\nAnswer: m, -0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1))**(-42))**(4\/3)\/(((g*((g**(-2\/9)*g)\/g)\/g)\/g*g**(-2))\/(g**(-2)\/(((g*g**2*g)\/g)\/g))) assuming g is positive.\nAnswer: g**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -854 + 881. Solve 13 + 9 = 4*f + 2*z, -2*z = 5*f - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, t: 2}. What is prob of picking 1 t and 3 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 2. Let y be p(-5). Let r be ((-7)\/y)\/(1\/(-13)). Let g = r + -3. Calculate the lowest common multiple of 14 and g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from oooooppopooooo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 647412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**3 - 13*v**2 - 22*v + 315. What is q(7)?\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 7. Let r be q(-5). Let u be r\/(((-21)\/12)\/(-7)). Suppose 0 = s - 0*n - n - 3, 4*s = -n + u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 l when four letters picked without replacement from ndnnldllonnndlnlnol.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000360118 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71, -236, -715, -1360, -2165, -3124, -4231, -5480?\n\"Answer: i**3 - 92*i**2 - 38*i + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 884727*d**3 + 21*d**2 - 17830*d + 4 wrt d?\nAnswer: 5308362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248 divided by -2.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 5:47 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-6))\/(4\/12). Let r = n - 93\/19. Let i = -20.688 - -17.688. Which is the third smallest value? (a) 0 (b) r (c) -0.3 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -4 (c) -11\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -98, -146, -194?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3)*(-12)\/(-8). Let w(g) = -g**2 - s - 6*g + 6 + 2*g**2. Calculate w(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10 + (-175)\/(-50) - 52\/13.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + 1 + sqrt(931) + 4.\nAnswer: 4 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(6\/(-8)))\/(3\/21). Let o = 47 + l. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 11:39 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127 - -132. Put 1, -1, x, 5\/7 in ascending order.\nAnswer: -1, 5\/7, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10 + -4)\/(-2) - 2. Sort 4, -1, f, 0 in descending order.\nAnswer: 4, 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51875939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 185334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/((-22965)\/12248)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*g - 73*g = -224 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -52354782\nAnswer: -52354775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 9*y + 31. Let w be r(11). Suppose -3*f = -p - 6, 5*f - 1 - w = -p. Find the first derivative of 14 + 260*q**f - 278*q**2 + 0*q + 0*q wrt q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 1:22 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(77)\/sqrt(99)) + (sqrt(1872)*2 - sqrt(1053)*-2) + 3 + (-5*sqrt(91)*1)\/((-2*sqrt(56))\/sqrt(8)))**2.\nAnswer: 285*sqrt(13) + 117361\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2\/5))\/(f*f**(-2\/5)))**26 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -60. Calculate the greatest common factor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6763 + -0.670314. Round g to 4 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 272, 299?\nAnswer: 326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000010110011 + -101010101?\nAnswer: 111111101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/11 + 676*j\/11 + 57122\/11 = 0. Calculate j.\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1560 and 330.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59025.\nAnswer: 3, 5, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 8*o - 28 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 6 + 2*c + 4*c - 2*c. Suppose -2*m - 6 = -3*m + 4*y, -5*m - 5*y - 45 = 0. Does 6 divide s(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -343\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34461 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 3172?\nAnswer: 9516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*g + 22 = 0, -14 = n - 21*g + 16*g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = -17*x + x. Solve 5 = 4*c - 3*f - x*f, 0 = -4*f + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, -5, -24, -51, -86, -129, -180?\n\"Answer: -4*a**2 + a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/24, 0.29, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -13*r + 9*r, 0 = -3*p - 3*r + 19467. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n = 26*n - 32. Let w = 24 + -24. Calculate the remainder when (63\/(-7) - w)*(1 + -8) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -889*g - 1 = -890*g, -4*q = 3*g - 23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -3)*(-10)\/(-40). What is the nearest to -2\/5 in f, 0.3, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -3, -4\/15, -16.5, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/7 + 462*u**2 + 855168*u\/7 - 8878080\/7.\nAnswer: 3*(u - 10)*(u + 544)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f - 19 + 40 - 17)*(1 + 2 - 5) as r + i*f and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*p + 27. Let m(l) = -19*l + 6. Let c be m(-5). Let j = c - 70. Calculate the remainder when j is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 421238880 a multiple of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 9*r + 6. Let m be w(7). Let h be (-64)\/10*20\/m. Suppose 4*l - 35 = -y, -l + 2*l + 5*y = -15. Solve -2*v + j = -l, h = 2*v + 2*v - j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 29. Which is the smallest value? (a) m (b) 2\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 8:56 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12009, -12008, -12007, -12006, -12005?\n\"Answer: s - 12010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 45*n + 14. Let y = 157\/3 - 57. Let k = 59\/12 + y. What is the biggest value in -0.3, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31322103220 - 3?\nAnswer: 31322103211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 189c85 (base 13) to base 15\nAnswer: c4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2 - -1)) + 7 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/3 (b) -3\/7 (c) -3 (d) 0.5 (e) 2\/17 (f) 0.3 (g) 1749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5 + sqrt(396) + 0 + sqrt(396) + 0 + 1 + -1 + -4)**2.\nAnswer: -216*sqrt(11) + 1660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200012201102 - 20110?\nAnswer: -200012221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 795 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.6404 decades in months?\nAnswer: 5236.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6303 and 36741.\nAnswer: 77192841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:59 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11625, 22016, 32407, 42798, 53189, 63580?\nAnswer: 73971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-1590)\/(-399))\/(3\/(-7)).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 12. Solve 3*t = -k*v - 3, -5*t + v - 1 + 9 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + sqrt(51)\/sqrt(108) + (sqrt(68)*-1 - sqrt(68))*-6.\nAnswer: -10 + 145*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) 0.7 (c) 1 (d) 93 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/5 - 15*y**2.\nAnswer: 3*y**2*(y - 5)*(y + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 66504*k**2\/7 + 553312986*k\/7 - 1104764644.\nAnswer: 2*(k - 16619)**2*(k - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6139 rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 58460000 to the nearest 1000000.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 108. Suppose -q*f + 1307 = -151. Calculate the highest common factor of 27 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 + 12 = 0. Suppose -b = 4*b - 10. Solve -b*o - s = -2*x, 3*o + 7 = -0*o - 2*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 divided by 2?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 117497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 116558, 233122, 349682, 466232, 582766, 699278?\n\"Answer: -y**3 + 4*y**2 + 116559*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497900363 a multiple of 7873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 5. Let l be r(9). Let p = l - -10. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 14 = 3*g - 1, -3*q + 21 = 2*g. Let n(b) = 9*b + 10. Let x(y) = -53*y - 61. Let i(h) = g*x(h) + 34*n(h). List the prime factors of i(-6).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 14034536*o**2. Let q(h) = h**2. Calculate q(x(b)).\nAnswer: 196968200735296*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Solve -5*d**3\/2 - 241*d**2 - 665*d\/2 = 0.\nAnswer: -95, -7\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2853 + 7*t + 10*t - 2853 - t**2 + 6*t. Let u(y) = y**2 - 2*y + 2. Let i(m) = 15*m**2 - 33*m + 33. Let s(f) = -2*i(f) + 33*u(f). Calculate a(s(o)).\nAnswer: -9*o**4 + 69*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u\/u**(-1)*u*u)\/u)**(-3\/4)\/(u\/u**(-7)*u*u**(-2\/5)))**(-35) assuming u is positive.\nAnswer: u**(1729\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 5*y**2 + 6*y + 10. Let a be v(-6). Suppose 3*p = 2*x - 4*x + a, -p - x + 3 = 0. Calculate the highest common divisor of p and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40582 = -5*g - p, 5*g - p - 18277 = 22311. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 10 - 4*z + 5*z.\nAnswer: -z + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11534.\nAnswer: 2, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*h = 4*h - 5, 3*h = -9. Suppose 2*n - 42 = 4*z, -15 - 3 = -2*n - d*z. Calculate the lowest common multiple of 4 and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*d + 1578 + 486 = -577 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 356 + -160. Calculate the highest common factor of 112 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 410, 819, 1228?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -1\/2*d**2 - 19 + 0*d. Let y(z) = -7*z + 1. Determine -5*h(s) + y(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 12*i + 12*i + 20*i**2 + 0*i.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -74. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90.3 + -81. What is z rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) 1 (c) -49 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5892161*f**2*g + 46*f*g - 58*f - 6*g - 17 wrt f?\nAnswer: -11784322*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2, -0.4, -0.131?\nAnswer: -0.131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -1307*q**6\/120 + q**4\/24 - 93*q**3 + q**2 - 8*q. Find the second derivative of d(o) wrt o.\nAnswer: -7842*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.041801 and 0.203?\nAnswer: 0.244801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8400565cm?\nAnswer: 0.000008400565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 9*f + 15 = 0. Let t be f\/(75\/20)*-102. Suppose -t = -6*p + 266. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -781366, -781305, -781230, -781135, -781014, -780861, -780670?\n\"Answer: v**3 + v**2 + 51*v - 781419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - -4. Is 15 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-9)*-97*(-117)\/39 is divided by 89.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1))\/q**(-2\/9))**(1\/31)*((q\/q**1)\/(q*q**(-5)\/q))\/((q\/q**3)\/q*q*(q**(-1\/4)\/q)\/q) assuming q is positive.\nAnswer: q**(10403\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*y**2 - 15*y**2 - 2*y**3 + 2*y**2.\nAnswer: -2*y**3 + 79*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1523*(-6 + 25)\/19. Which is smaller: s or -1527?\nAnswer: -1527","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(84) - (sqrt(84)*2*-6 - sqrt(84))))\/(sqrt(144)\/(sqrt(1200)\/sqrt(4))).\nAnswer: -350*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -441*0.2\nAnswer: -88.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)\/((w**(-5)\/w)\/w)*(w\/(((w**2\/w)\/w)\/w))\/(w*w**(-1\/10)) assuming w is positive.\nAnswer: w**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 1:39 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124184746?\nAnswer: 2, 7, 137, 64747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 12:01 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1 = 3*i. Which is greater: -1\/11 or i?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*j - 1309*j + 113040 = 829*j for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58200957 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k + 16*k + 9 = 0. What is the remainder when 26 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -324, -1346, -3030, -5370, -8360, -11994, -16266?\nAnswer: -21170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-9))\/(2\/(-12)). Suppose 0 = 2*c - 3*c + 3. Find the third derivative of 5*d**2 + c*d**5 - 2*d**5 - x*d**5 - 3*d**5 wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25070376*t**5 - 14805868*t**2?\nAnswer: 1504222560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/2))**(-7)*((l\/(l**7*l))\/l)\/(l*l\/(l*l**(-3\/14)\/l)) assuming l is positive.\nAnswer: l**(-341\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + 3. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51343*v**2 + 2*v - 6 wrt v?\nAnswer: 102686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -12. Suppose c*h = 3*h. Let v = 306\/55 - 70\/11. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 3*x + 4*z + 84, -4*x + 4*z = -68. Is 14 a factor of 1\/((-4)\/167*(-2)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 7*y**2 + 7*y + 10. Let b be (-5)\/1 + 3412\/4. Let q be b\/265*5\/2. Give a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20240240?\nAnswer: 2, 5, 253003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y + 6*y - 2*y - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13144)\/(-620) + (-155)\/25?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + q + 2. Let k(a) = -3*a - 8*a + 10*a. What is -j(s) + 2*k(s)?\nAnswer: -2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46614967799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s + 326 + 436 = -986 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 68*s**2 - 26*s + 19. Let i(m) = 44*m**2 - 17*m + 12. Calculate 8*i(v) - 5*t(v).\nAnswer: 12*v**2 - 6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1820.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*g - 8*b - 22, 5*g - 5 = -5*b. Let w = g + -4. Let z be -1 - (w\/1)\/1. Let a(r) = -r**3 - r**2 + r - 4. Determine a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77484 and 264.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2667, -3247, -4815, -7863, -12883, -20367, -30807?\nAnswer: -44695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-65)\/(-6) + -9 - 3\/6. Let d be (-1375)\/(-225) - (1 + 4). Factor d*b - w - 2\/9*b**2.\nAnswer: -2*(b - 3)*(b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21657, -21656, -21655, -21654, -21653, -21652?\nAnswer: -21651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12602611 less than -1?\nAnswer: 12602610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -9*y**4\/4 - 4*y**3\/3 + 14*y + 63. Differentiate d(k) with respect to k.\nAnswer: -27*k**2 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34981 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 254391535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 5*a**2 - 6*a + 3. Suppose 0*w = 3*w + 18. Let f be t(w). Let l = f - 2. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4813?\nAnswer: -2\/4813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.0937003 and -0.04.\nAnswer: -8.1337003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321116 is divided by 720?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5504)\/(-3) - 82\/(-246)?\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/((-84)\/(-378))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*l**3 + 246*l**3 - 491*l**3)*(1 - 1 - 2) + (3*l**3 + 2*l**3 - 3*l**3)*(-4 + 3 + 0).\nAnswer: 620*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86 + 220. Suppose 41 + j = 7*y. Let s = -8 + 131. Calculate the remainder when s is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**3 - 51*w**2 + w - 17. What is b(-9)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2730)\/(-63) + (-380)\/60.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + p**3 - 2 + (-2 + 2 + 6*p)*(-5*p + 3*p + p)*((4 - 6 + 3)*(-3*p - 5*p + 5*p) - 3*p - p + 3*p) to the form q*p**2 + r*p**3 + b*p + c and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 946 - 69. Let m = a - 568. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.452609ml to litres.\nAnswer: 0.006452609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.0908, -14\/5 in ascending order.\nAnswer: -5, -14\/5, -0.0908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620 and 1691920.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -243?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - m**2 + m + 1. Let v(s) = 5*s**2 - 7*s + 1. Let j(q) = 2*d(q) + v(q). Let o be j(2). What is the least common multiple of 11 and 3 - 1 - 21\/o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 455.\nAnswer: -12\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5166.486 rounded to the nearest 10?\nAnswer: -5170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*o - o = -53, -4*h - 2*o = 70. Let n = h - -19. Solve n*j = j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134*v**3 + 36*v**3 - 20*v**2 + 22 + 50 - 2*v**5 + 19 - v**5 wrt v.\nAnswer: -180*v**2 - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 12:36 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/7 - 1352*p**4\/7 + 55638*p**3\/7 - 94972*p**2\/7 - 423280*p\/7 = 0.\nAnswer: -715, -2, 0, 4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*w**2 - 76*w**2 - 2*w + 15*w**2 + 4)*(-4*w**2 + 4*w**2 + w**2) in the form j*w**3 + p*w**2 + h*w + g + k*w**4 and give k.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i - 770 = 4*m, 5*m - 5*i + 955 = 0. Suppose 2*k - 11 + 1 = 0, 1655 = 4*y - k. Let b = m + y. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1306, 2611, 3916?\nAnswer: 5221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 43)*(-4*r + 3*r + 2*r).\nAnswer: -36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -9*s + 25. Let m(w) = 27*w - 78. Let u(p) = 11*h(p) + 4*m(p). Let b be u(4). Is -1\/100 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*a + 3 = 0, -z - a + 9 = 2*z. Let q(n) be the first derivative of 0*n + z - 1\/2*n**2. Let c(r) = -5*r. What is q(c(d))?\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3337*h - 25 + 25.\nAnswer: 3337*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10552219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64623 is divided by 1080?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/7*(77\/(-14) - 5). Suppose 4*w + s = 26. What is the smallest common multiple of 5 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 1 - (-4 - -16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**4 + 2*j**4 + j**4)*(-j + 4*j - 5*j) + (0 + 2 - 3)*(-2*j**5 - 4*j**5 + 4*j**5).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 41225984?\nAnswer: 41225984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 396\/(-23760)*(-5)\/(-3).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 11:13 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjhjjahhjhj. What is prob of picking 1 j and 1 h?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53245 + 643178 = -38*h + 59*h. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(972) - (2*sqrt(972) - sqrt(972) - sqrt(972))) + (-2*sqrt(72))\/sqrt(6))\/(-4*sqrt(42)\/(sqrt(7)*2)) + 4.\nAnswer: -7*sqrt(2)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2398 = 3*b + 4*r, -4*b + 4*r + 1267 + 1893 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1005, 4084, 9223, 16428, 25705, 37060, 50499, 66028?\n\"Answer: g**3 + 1024*g**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - n + 1. Let j(w) = 6*w**2 - 5*w + 12. What is 2*j(p) - 10*q(p)?\nAnswer: 2*p**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from cmnppcccmcnpucnplccp?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*c + 10, 0 = 3*x + 5*c - 2*c + 3. Suppose 0*f - 21 = -3*y - f, 2*f - 10 = -2*y. Which is greater: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 - 65*l + 40. What is t(32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*x - 0*k + 2, 6 = -2*x - 5*k. Let r(n) = -11 - 2*n**x - n**2 + 14*n - n**2 + 3*n**2. Does 17 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 7*h - 4. Calculate the highest common factor of h and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/27*(-65)\/(-80). Let b = u - 41\/180. Sort -4, 1.2, b, 0.2.\nAnswer: -4, b, 0.2, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 3672 = 2*y. Suppose -u - 35 = -5*a - 137, -5*a = -4*u + y. What is the derivative of -17*d**3 - u + d**3 - 8*d**3 + 74 wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510097 is divided by 510092?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -94*c**3*p**2 + 60*c**3 - 3*c*p**4 + 3*c wrt p.\nAnswer: -188*c**3*p - 12*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + f - 1. Let o(j) = -2*j**3 + 12*j**2 - 1. Calculate -o(m) + 6*v(m).\nAnswer: 2*m**3 + 6*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 579008 to the power of 1\/2, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 185749687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/6111 - 183373\/262773. Let f = -1064221936\/269 + 3956222. Let j = f + 1\/2152. What is the common denominator of d and j?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 5*d - 7. Calculate c(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1408221 divided by -207\nAnswer: 6803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 913033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x*((x\/(x*x**(3\/7)))\/x)\/x)*x))**(-31)\/(x*(x\/(x\/(x**(-7)\/x))*x)\/x)**(-40) assuming x is positive.\nAnswer: x**(-1216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1272041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/60 - 4*h**2. Let y(s) = 1229 - 146*s - 1229. What is y(t(k))?\nAnswer: -146*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*d**3 + 2*d**2 - 485*d + 196642?\nAnswer: -114*d**2 + 4*d - 485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*h + 4, i - 1 = -2*i + h. Let t = 1 + i. Let z(f) = -6*f + 1. Determine z(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8387557?\nAnswer: 8387557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006072894 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l - 5*l - 5*l**2 + 3*l**2 in the form i*l + g + y*l**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, k: 5}. Give prob of picking 3 k.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*f = 2*f - 6, 4*q - f - 15 = 0. Let d = -6 - -2. Let c be d\/(-18) - (-183)\/27. Solve -q*t + c = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(1\/14)*h))**(1\/19)\/(h\/(h*h*h*(h*(h*h**(-10)*h)\/h*h)\/h)*h\/(h\/h**(-2\/17))))**(1\/6) assuming h is positive.\nAnswer: h**(-26617\/27132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 - (-55)\/33. Suppose u*k = 4*t - 40, 0*k - 3*k = -t. Which is smaller: 17 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -3\/8, -5396, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00047404 rounded to 5 decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 14 - 11)*(0*i**4 - 3*i**4 + 5*i**4) + 82*i**4 - 150*i + 150*i in the form h*i**2 + q*i**3 + a + y*i**4 + d*i and give y.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 282437155*q**2 + 256089570?\nAnswer: 564874310*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64100587619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -4 - -39 - -7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 1. Let t(l) = -2*l**3 - 5*l**2 + 6. What is 4*f(w) + t(w)?\nAnswer: -2*w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*z + 440 = -2*c, 5*z - 25 = 0. Is ((-90)\/(-25))\/(12\/c) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + (-215)\/(-10). Let o(c) = c**3 - 4*c**2 + 3*c - 7. Let q be o(5). Let x = q - n. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8, 120, 422, 1010, 1980, 3428, 5450?\n\"Answer: 16*p**3 - p**2 + 3*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pupppppupppppppupppp. Give prob of sequence pu.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*u + 164*u - 85*u + 691*u**3.\nAnswer: 691*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h = 15. Let q(d) = -d**2 - 663*d + 4016. Let s be q(6). What is the greatest common factor of h and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98*c**2 - 50*c**2 - 16*c**4 - 52*c**2)*(3*c - 6*c + 2*c).\nAnswer: 16*c**5 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + i**2 + 1 + 3*i**2. Let k be 1\/(1*(1 + -2)). Is s(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9095, 36432, 82025, 145874, 227979, 328340?\nAnswer: 446957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 315\/(-12)*(4\/4 - -3). Let b = 153 + l. Calculate the highest common factor of b and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35108417771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, g: 1, k: 1, x: 5, c: 2}. Give prob of picking 1 k, 1 g, and 1 c.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 + 0.01. Let l = k - 0.22. Let s = -6\/5 - -7\/10. Put 2, s, l in increasing order.\nAnswer: s, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*-16*8\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 193 = 5*k + 35, -5*x - 117 = -3*k. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/1)\/(11544\/30192).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**3 - 5*n**2. Let z be o(-2). Suppose 5*x = r - 554 + 155, z*r - 1634 = x. List the prime factors of r.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(((-6630)\/364)\/51)\/((-7)\/((-43561)\/(-70)))?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 4 + 4)*(4*p + p - 3*p)*(7 - 2 + 11).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 - d**2)*(-3*d**2 + 3*d**2 - 2*d**3) - 8*d**5 - 2*d**4 + 2*d**4 + 8*d**5 - 118*d**5 - 39*d**5.\nAnswer: -155*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 6. Suppose -3*g - 9*g = -24. Suppose -g*t - 3 = -27. Suppose t*q - 2 + 2 = 0. Calculate n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -2\/13, -0.03, 1\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 = 3*h, -5*q + h - 1 = -q. Let v be 1 + 2 + 2\/(2 - q). Solve m - u + 1 = 0, m + u + v*u = -13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5 - 30 = 0. Calculate the remainder when n is divided by 2\/4 - (-17)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.57795 to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/32*128\/12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n + 8*n + n - 5*n + 2 - n**3 to the form x*n**3 + s + a*n**2 + i*n and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let i = 7 + -3. Let q be 0 + 2 + (2\/(-16) - 2). Which is the nearest to -0.1? (a) q (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-8 + 10) - (-1 + 3609). What are the prime factors of 1\/(v\/1810 + (0 - -2))?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -m - 4*c - 6, 2*m = -3*c + 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010110110 - -10101111001?\nAnswer: 110000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 7 + 1 - 6*d - 13*d + 1 to g*d + p and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 9*i. Let w be y(-9). Suppose w + 1 = b. Sort b, 3, -5 in descending order.\nAnswer: 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 - 24\/(-36). Which is the nearest to v? (a) 1\/7 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 3*r + 9, 4*r - x + 16 = 32 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -150a23 (base 12) to base 7\nAnswer: -3003003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*(-2 + 2). Suppose -10 = -2*o - k*o. Find the second derivative of z**2 - z**2 + 4*z**5 + 0*z**o + 2*z wrt z.\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 8*a**6\/27 + 58*a**5\/45 + 2*a**4\/3 - 2*a**3\/3 - 8932. Determine i, given that s(i) = 0.\nAnswer: -3, -1, 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5513294, 6 in descending order.\nAnswer: 5513294, 7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -15*-6*8\/60. Suppose 1 = 2*r - 3*c + 2*c, 10 = 2*c. Suppose -2*y = -r*y + 11. Which is greater: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 64. Let n be d(0). Let v be ((-338)\/(-104))\/((-2)\/(-144)). Let r be ((-32)\/6)\/((-13)\/v). What is the highest common factor of r and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5929413 bigger than -5929413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11110101001100110?\nAnswer: -11110101001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5324.58200007 + 5324.622. Let m = -3 + 2.96. Let a = k + m. Round a to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 2*s**2 + 5*s. Let q(c) = -c**3 - c**2 - c + 20. Calculate the smallest common multiple of q(0) and a(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10255*n = 10259*n + 20, -9*n - 50 = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1120 and -509584.\nAnswer: -508464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 63501, -1 in increasing order.\nAnswer: -2, -1, 3, 63501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f**3 + 290*f - 284*f + 11*f**3.\nAnswer: -45*f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 55*c**3 - 65*c + 65. Let v(g) = g**3 - 4*g**2 - 6*g + 2. Let s(i) = 5*i**2 + 6*i - 1. Let b(d) = -4*s(d) - 5*v(d). Give 65*b(z) + 6*o(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 + -129 - (-5 - -3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:24 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -207\nAnswer: -828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1850\/(-300)*1\/15*-18?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, g: 1, x: 1, e: 2}. Give prob of sequence xee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30250 and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 2989 + 12775. Is 73 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*x + 4*z, -x - 20 = 7*x + 2*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 8*j - 6. Let g be i(-9). Suppose -5*l - v + 2*v = -26, g*v = -3. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/12)\/(-3)*20\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 1 + 1. Let b(w) = -10*w**2 + 11*w**2 + 8 + 2*w - w. Let m be b(0). Solve -m + 0 = -g*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -354431 - 118?\nAnswer: -354550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(567)*-1)**2).\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66 - 1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-12)*2646\/(-784)*-8?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1822660, 3645382, 5468160, 7290994, 9113884, 10936830?\n\"Answer: 28*b**2 + 1822638*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 50, 319, 1128, 2747, 5446, 9495, 15164, 22723?\n\"Answer: 45*a**3 - 46*a + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 393469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 137 + -135 + 6 + 75\/(-9)*(2 - -1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 (base 3) in base 14?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 188, 151 in increasing order.\nAnswer: 30, 151, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -44, -107, -192?\n\"Answer: -11*p**2 - 8*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355886 is divided by 922?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 489373 (base 10) in base 12?\nAnswer: 1b7251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0 + 14. Let b be (-2 - u) + 1*-1. Suppose m - b*m = -21. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 8*r**2 - r - 5. Suppose 0 = -9*m + 6*m + 18. Let j be o(m). Is 60 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*l - 4*f, l - f - 239 = -240 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 - 4 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from rtvrvtmgrtt?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 2*x**3\/3 + 11*x**2\/2 - 33*x + 21. What is the units digit of h(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-195)\/117 - ((-287)\/63 - -3). Let i = 0.05 + -1.05. Which is the nearest to z? (a) 2 (b) i (c) -0.2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2544 - 2544 - 5494*q**2)*(4*q**2 - 4*q**2 + q**2) + q**2 - q**2 - q**4.\nAnswer: -5495*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -223, -225, -227, -229, -231?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i**2 - 8*i. Let r be 4\/(-18) + 436\/18. Let z(j) = j**2 + j. Let f(t) = r*z(t) + 3*l(t). Solve f(p) = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by 14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/16)\/3)\/(75\/(-100))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1714, -1728, -1754, -1798, -1866, -1964, -2098?\n\"Answer: -d**3 - 7*d - 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 2*v - 3 - 3 + 3*v**2. Let w be u(-5). Suppose -w + 14 = 4*r - 5*i, -20 = -4*i. Solve -5*q - 25 = -r*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692744158 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 51*g**2 + 19*g - 246. What is the hundreds digit of s(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2834693238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*n - 10 = 2*j, n = -4*j - 7*n + 14*n + 30 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 817704 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -19. Suppose -2*c + 11 = -a. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67924925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**15\/s**15)\/((s**(-2)\/s)\/s)**22 assuming s is positive.\nAnswer: s**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 13*m**4\/12 - 5*m**2\/2 - 2*m + 220. Let g(q) = -9*q**2. Determine g(i(n)).\nAnswer: -1521*n**4 + 1170*n**2 - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -205337201 or -205337202?\nAnswer: -205337202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**2 + 194*f + 818. Calculate k(-28).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/23))**(-5)\/((((s\/(s\/(s**28\/s)))\/s)\/s)\/s**(3\/7)) assuming s is positive.\nAnswer: s**(-3886\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y + 2. Let l be d(0). Suppose 0 = b + 2*o - 35, 5*b - 4*o - 136 = -o. Solve 0 = 5*m - 3*w + b, -7 - 13 = l*m - 4*w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12549038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2081 + -2083. Let q = 0.078 + -5.078. Which is the smallest value? (a) -6\/7 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -10*o + 42. What is the greatest common factor of 105 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40254 (base 8) in base 15?\nAnswer: -4d8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 164*y - 130. Is l(2) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -313013 (base 4) to base 3\nAnswer: -11211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 13*j**2 + 9*j - 14. Calculate b(-11).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, f: 3, g: 3}. What is prob of sequence gv?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c - 3*c)*(4*c - 2*c - 4*c + (2*c + 3 - 3)*(-4 + 2 + 1)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, z: 1, v: 1, k: 1, d: 1}. Give prob of picking 1 z and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -13*y**2 - y - 11. Let j be a(1). Let r = -21 - j. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d - 17. Determine b(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -81, -0.1 in increasing order.\nAnswer: -81, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:30 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34992297*j**2 + 4015*j + 11775.\nAnswer: 69984594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -176619825 divided by -5?\nAnswer: 35323965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, u: 3, g: 1, p: 1, q: 4, h: 1}. Give prob of picking 2 y and 1 h.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -15, -0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 3*k**2\/2 - 34. Let g(b) be the first derivative of 5*b**2\/2 - 5. Calculate g(u(i)).\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f + 2. Let c(x) = 17*x + 9. Let z(p) = 2*c(p) - 9*g(p). Let q be (-85)\/(-10) + (-1)\/(-2). Let l(w) = 18*w - q*w - 28 + 28. Give l(z(v)).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbxlcbklxxll. What is prob of sequence nbcb?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 6406.635 hours?\nAnswer: 23063886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, h: 5, b: 8}. What is prob of picking 2 t?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2432192 is divided by 2323.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 10*u**2 + u - 2. Let c be j(10). Let y be ((-10)\/3)\/(c\/12). Let d be 6\/15 + (-18)\/y. Solve -k = 2*k - 9, d*i + 35 = 5*k for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89041674 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*3 - sqrt(77)*1*-6)\/(sqrt(63)\/(3*sqrt(9)*6)).\nAnswer: 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**2 + 22*v + 22. Let q(f) = -f - 1. Give -44*q(u) - 2*y(u).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 16 = 4*n - 0*n, 2*y = 3*n + 9. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myy when three letters picked without replacement from yyymyymyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8989, 8943, 8817, 8569, 8157, 7539?\nAnswer: 6673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3 - 2548*p**2 + 2546*p = 0.\nAnswer: 0, 1, 1273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -6*f + 40. Suppose -4*i = f + 30. Let c = -10 - i. What is the third biggest value in -2, 0.3, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1000.73 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*t = -289, 0 = -3*p + 22*t - 19*t + 159. Sort 5, -5, p, -3 in increasing order.\nAnswer: -5, -3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/4 + 17*m**2\/2 - m. Let n(g) be the second derivative of g**4\/12 + 3*g**2 + 21*g. What is -17*n(i) + 6*w(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-32)*4\/3. Let f = 1 - 2. Is f greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 166, 0.3 in decreasing order.\nAnswer: 166, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 101*q + 111. Determine f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043096?\nAnswer: 2, 23, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.521 + -0.479. Let d be (-48)\/88*(-4)\/6. Which is the closest to 6? (a) i (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173*b**4 - b + 443?\nAnswer: 692*b**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -117754*p**2\/5 - 7065234*p\/5 + 72 = 0?\nAnswer: -60, 3\/58877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -544*a**6 - 1069*a**2 wrt a.\nAnswer: -65280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1729080 divided by 288180\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136567\/5 - -27314. Factor -18\/5 - 3*i + m*i**3 + 6\/5*i**2.\nAnswer: 3*(i - 2)*(i + 1)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2707969 to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**2\/2 - v - 9. Let j be o(12). Let d be (6\/(-4))\/(j\/22). Sort 7, -1, d in decreasing order.\nAnswer: 7, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11759.\nAnswer: 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:51 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-12 - 14 - 8 - -17).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 10 = -22*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1315246 to the nearest ten thousand.\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.3 (b) -1\/6 (c) -4\/5 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + y - 2035 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -686257\nAnswer: -7\/686257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -3 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.4, 1, -0.5, -3\/1396, 0 in decreasing order.\nAnswer: 10, 1, 0, -3\/1396, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v**2 - 3*v - 5. Suppose -2*n + 4*w = 2*w, 4*n = -4*w + 16. Suppose 0 = 5*a + 2*g + 32, -n*a - 3*g - 9 = -6*g. Is y(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 + 1. What is the tens digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from wkkkbjkkkwkw.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*(((0 + sqrt(272)*-2 + sqrt(272))**2 - (sqrt(272) + (sqrt(272) + 0)*4)) + 5).\nAnswer: -1662 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*g + 72*g + g**2 - 47 in the form z*g**2 + w*g + r and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -111*u + 88*u - 91*u + 3*u - 2*u - 3*u + u - 3 + 3 + (-u + 0*u + 0*u)*(-2 + 1 + 3).\nAnswer: -117*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 48. Let y = q - 40. Let u = y - -32. Is u less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:14 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15288949?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1728*w**3 + 2374*w**3 - 904*w**3.\nAnswer: 3198*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 11*o**2 + 6*o + 6. Calculate w(10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-42)\/((-70)\/(-10)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/(i**5*i*i)*i)**(32\/5)*(i**(3\/2))**(4\/23) assuming i is positive.\nAnswer: i**(-2178\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1964.1 and 284.4?\nAnswer: 1679.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 + 0 = 5*m, 34 = 5*i + 2*m. Let j = 12 + -6. Let s be (-8)\/j - (-16)\/12. Solve 13 = -2*y + 3*c, -y + s*c = c - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-8)\/36) + -2. Are p and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13253 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Suppose 3*f - 4*z + 0 = u, 2*f - 2 = -5*z. Suppose -2 + 0 = -2*l. Is l less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4514500 = 4514499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3040 and 771152?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/30 - 3*p**4\/8 - 7*p**2. Find the second derivative of k(f) wrt f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/6 (b) 1\/76 (c) 2870\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - -75 - 32) + 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -8\/823?\nAnswer: -8\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 36. Let x be o(-12). Suppose 0 = 5*z - 14*z - 27. Which is the biggest value? (a) -2\/5 (b) x (c) z (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -18. Let w = 6 + t. Let f be (0\/1)\/(3 + w). Let v(l) = l - 7. What is v(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -385300 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (129 + (-40 - 16)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*g + u + 170, -5*u = 2*g - 88. Suppose 5*q - 5*r - 75 = 0, -4*q = -6*q - r + 39. Calculate the greatest common divisor of q and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 3:55 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x + x - 4*x)*(1 + 4*x - 1) - 2*x**2 + 0*x**2 + 3*x**2)*(2*x - 4*x + 5*x).\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 27516 (c) 6213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 0.0525.\nAnswer: -0.1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 1225*h**2 - 555139270*h + 62893797774721 = 0.\nAnswer: 7930561\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/n)**(-48)\/((n\/(n\/(n**(2\/3)*n))*n)\/(n\/n**(-10))) assuming n is positive.\nAnswer: n**(217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) 7 (c) -0.3 (d) -191 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*p = 8, 28*p - 37 = -4*m + 33*p. Let a be (-2)\/2 - (1 + 0). Sort 4, a, m in descending order.\nAnswer: 4, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(110)*3 + sqrt(110))\/(1*sqrt(810)))**2.\nAnswer: 1100\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 + -11 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -721893 * 32\nAnswer: -23100576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3535787349?\nAnswer: 3, 19, 233, 29581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = 44*g - 583 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(-755)\/302*(-8)\/(-10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12*h - 2 + 18*h + 184*h**2 - 4*h.\nAnswer: 184*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44\/17*c - 10\/17*c**2 + 2\/17*c**3 - 32\/17 = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 99552 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:33 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 600762424 + -57670942747\/96. Let i = l + -23438. What is the common denominator of -4\/33 and i?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 13}. What is prob of sequence lee?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 487 and 267312839?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 2. Let c be x(16). Let n = c - 43. Let l be (9\/(-27) - (-10)\/n) + -1. Solve -5*a - 2 - l = 2*s, -3*a = -5*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*z - 1246 = -6*d, 3*d - 936 = -z. Suppose -f - d = -4*i, -5*i + 437 = -f + 45. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 8. Solve k + k + p = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c - 15 + 7 + 317*c + 6.\nAnswer: 343*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 12*x**2 + 14*x - 55. Let n be k(6). Suppose 1556 + 1692 = n*j. What is the lowest common multiple of 28 and j?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 2 + 6. Let p be (2 - 1 - 107)\/j. Solve -p*c**2 + c + 38*c**2 + 2*c = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 79. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02898 - 0.07102. Which is the nearest to l? (a) -14 (b) -19 (c) 1\/4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 151*j - 47*j + 2 - 46*j + 8*j**2 - 50*j. Let m be i(-1). Solve 35 = 5*h - 0*h + 5*r, m*r = 4*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - -25)\/(-2) - -12. Let f be ((-21)\/4)\/(-7)*l. Factor 0 + 0*b**f - 4\/5*b**4 - 2\/5*b**5 + 0*b + 0*b**2.\nAnswer: -2*b**4*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38292510, 38292512, 38292514?\n\"Answer: 2*d + 38292508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + u**3 + 2*u**3)*(2*u - 3*u + 0*u)*(-2 - 3 + 8).\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 20. Let y be j(-22). Solve m - y*m - 2 = p, m = 5*p - 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l + 4*l + 6*l + (-3*l + 2*l - l)*(-1 + 5 - 3))*(-37 + 12 + 20).\nAnswer: -65*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -1 + 2. Suppose -4*r + 9 = -r. What is the greatest common divisor of f and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13967, 14061, 14155?\nAnswer: 14249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93265, 186221, 279177, 372133?\n\"Answer: 92956*l + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1 = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k**2 + 7*k - 6. Let p(s) = s - 1. Let y(o) = -6*p(o) + r(o). What is y(-2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -33*k**3 + 9242*k + 25. Let l(w) = -8*w**3 + 2311*w + 6. Calculate -25*l(a) + 6*s(a).\nAnswer: 2*a**3 - 2323*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*s + 2*s - 371 = 0, 5*s = -5*n + 645. Suppose 8*d - 2*t - 44 = 7*d, 5*t = 3*d - 126. What is the remainder when n is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-238*v**2 + 149*v**2 + 590*v**2)*(2*v + 0*v - 3*v) in the form p*v + i*v**3 + u*v**2 + n and give i.\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/27 and ((-606)\/(-40))\/(216\/30).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + -1 + sqrt(108) + sqrt(21)\/(-1*sqrt(7)) - (sqrt(363)*1 + sqrt(363) + sqrt(1200)).\nAnswer: -31*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 22*u - 4. Let t be x(-8). What is t rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3055984767 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 3. Let k(n) = 4. Suppose -36 = 6*c - 18*c. Suppose 0 = -c*s + 102 - 93. What is s*k(a) - 4*b(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -456 + 453. Sort -256, x, 1 in descending order.\nAnswer: 1, x, -256","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*g + 58*g + 9 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 3*n + 4. Let g be x(6). Let k(u) = u - 8. Let o be k(10). Suppose 14 = o*c + 2. Solve -4*m - c = -g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341288 - 3704600 = 280*w - 17087792. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00882 - 0.02?\nAnswer: -0.01118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -904167 divided by 3.\nAnswer: -301389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 57*x + 857. Determine y(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -7\/5*c**2 - 4\/5 - 16\/5*c = 0?\nAnswer: -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*1 + (-5)\/2. Sort -2, s, 0.08 in descending order.\nAnswer: 0.08, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-12 + 21) - (-8 + -44) - 6.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23248, -23099, -22950?\nAnswer: -22801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 0.46, 0, 0.19, 1\/4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -3*g - 4*x, -3*g = x + 3 - 53. Suppose -3*o + 3 = 0, o + 3*o - 4 = 4*i. Suppose i = 5*b + g - 65. What is the least common multiple of b and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447902 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137)\/(-4) + (-26048)\/(-256) + -105?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**3 + 10*p - 17. Let s(y) = -2*y**2 - 10*y. What is m(s(v))?\nAnswer: 12*v**2 + 60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5033*x - 22763 + 37146 + 35947 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1329*s**3 - 95*s**2 + 222*s - 8. Let u(d) = 443*d**3 - 34*d**2 + 73*d - 3. Let b(v) = 3*m(v) - 8*u(v). Find the third derivative of b(w) wrt w.\nAnswer: 2658","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-184)\/102)\/(((-80)\/6)\/(-4)). Let u = q + 4179\/340. What is the common denominator of 846\/(-60)*2\/12 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 90.3 in -2\/5, -75, 7\/3, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1252024 - -124244?\nAnswer: 1420312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 80*g + 714. Determine k(-22).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1896652.\nAnswer: 2, 474163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(7\/9)\/x*x*x**(-2\/17))\/(x**(5\/6)\/x*(x*x\/(x\/x**42*x*x)*x*x)\/x*x*x))**16 assuming x is positive.\nAnswer: x**(-105688\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Let n = 5 - o. Solve n*u = 2*u - 3*w - 4, 0 = -3*w for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-2)\/(-16)*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/60*6*((-4)\/(6 - 2) + -13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2160 and 128153880.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -123.7*389\nAnswer: -48119.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzjv when four letters picked without replacement from {v: 3, y: 4, z: 2, x: 2, j: 1, m: 2}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t - 2*t)*(-260 + 326 + 383 + 298).\nAnswer: -747*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 4*y**2 + 2*y - 5. Let u be p(4). Suppose -2*v + 1 = u. Sort v, -5, 0.5.\nAnswer: -5, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**2 + 3*s + 2. Let v(h) = 17*h**2 - 3*h - 3. Let t(r) = 22*r**2 - 4*r - 4. Let k(x) = -4*t(x) + 5*v(x). Determine 11*k(p) - 4*q(p).\nAnswer: -p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7610 and 4570.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s - 14911*s**2 + 15021*s**2 - 5*s + (5 + 8 + 9)*(-3 + 3 - 2*s)*(-s + s + 2*s) in the form l + v*s + f*s**2 and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q**2 + 5*q - 14. Let u be b(4). Suppose -k = -w + u, 732 = 4*w + k - 6*k. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/340 + 3668\/34. What is the derivative of 15*c**4 - v*c**3 + 108*c**3 - 23 wrt c?\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20101 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4557 + -1794. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525845688?\nAnswer: 2, 3, 23, 952619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m + 10*m - 2*m + 9*m - 20388.\nAnswer: 6*m - 20388","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 148 times 2003\nAnswer: 296444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - r**3 - r**4)*(255*r - 71*r - 626*r).\nAnswer: 442*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46328, 93203, 140068, 186917, 233744, 280543?\nAnswer: 327308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2109.136461 to the nearest 10.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*d - 753354 = -5*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**2\/2 - n - 1. Suppose -3*r - r + 3*w + 2 = 0, 0 = 3*w - 6. Let x(f) = -2*f + 2. Let k be x(r). Calculate v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 14*y = 0. Solve y = n - 4*r + 18, -n + 5*r = 4*n + 30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zii when three letters picked without replacement from {z: 5, i: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*m + 37 = 0, -77*d + 15 = -78*d + 3*m. Let v(s) = -s - 13. Determine v(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zddzzddzdz. Give prob of picking 2 z.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75283 - 228*j - 206*j - 75284 - 210*j to t + h*j and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 + 442*d - 1320.\nAnswer: -2*(d - 660)*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25852 (base 15) to base 7.\nAnswer: -1006601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24262 is divided by 1176?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 11:28 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*l = 133*l - 71*l - 513 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 181836 and 72?\nAnswer: 363672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 525660 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**3 - 12*g**2 - 13*g - 9. Let r(q) = 20*q**3 + 35*q**2 + 38*q + 26. Let t = 139 + -122. Let v(n) = t*d(n) + 6*r(n). Calculate v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-3) + -2)*9. Let x = z + -3. Solve h - 2*h - 2 = 0, 6 = -5*y - x*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10231300 - -10120?\nAnswer: -10221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = a + 3*t + 4, 10 = -3*a - 5*t. Suppose -k = -a*g + g + 357, 3*g = 5*k + 289. Suppose -3*z + x + g = 0, -z - 3*x + 36 = -2*x. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 2*n + 1. Let m = 12 - 13. Let k be m*6 + (-6 - -10). Determine c(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49, 1, 11, -101, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 425 - 414. What is the remainder when 174 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.2919 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let s be (-2)\/(((-2)\/(-1))\/4). Let d be z(s). Calculate the highest common divisor of d and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33761541, 67523079, 101284617, 135046155, 168807693, 202569231?\n\"Answer: 33761538*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyvyvyvyyvfvv. Give prob of sequence vfvy.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**3 - 2*d**3 + 3*d**3)*(-d**2 + 0*d**2 + 2*d**2) + (-689 + 23100*d - 682 + 1371)*(-3*d**2 - d**4 + 3*d**2).\nAnswer: -23101*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1\/5, -1555, 1\/3566?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 7*p - 18 - 10*p - 16*p + 6 as s*p + k and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 10*l - 9. Let v be a(11). Solve 0 = -2*r - 0 - v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -91964350*n**4 + 88151150 wrt n.\nAnswer: -367857400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 642114 divided by -4554?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 377*x + 2656. Calculate z(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 196\/(-5439)*9\/6\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/31)\/(w**(-38)\/w) assuming w is positive.\nAnswer: w**(1210\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2357 or -0.1?\nAnswer: 2357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.24 + 3.05. Let y = -18.81 + o. Which is bigger: y or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 2:10 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2703131?\nAnswer: 373, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2040 divided by 408.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -9 - 25*(-390)\/(-750).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36867\/(2\/44*3). Suppose -m = k + 669642. Round k to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -2, -5 in decreasing order.\nAnswer: 3, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*j - 12. Factor -x**j + 3*x**4 - 3*x**4.\nAnswer: -x**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -1 - 7. Suppose 9*v + 68 = 5*v. Let g = v + 27. Solve 4*t - 6 = q*n + g, 0 = -t + 4*n + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1638997 is divided by 145?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyi when three letters picked without replacement from {i: 5, x: 4, y: 7}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -5*v**7\/21 - v**4\/12 + v**3\/3 - 44*v - 120. Let h(a) be the third derivative of q(a). Differentiate h(l) wrt l.\nAnswer: -600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, m: 7, b: 3, n: 2}. Give prob of sequence mmmm.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 125 = 295. Let o(b) = -b**3 - 58. Let y be o(0). Let w = y + h. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -263.32 + 258. Let q = t + 0.32. Sort 0.2, q, -3, 2\/7.\nAnswer: q, -3, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 46*m + 107. Let q be v(-25). Suppose -14*l = -6*l - q*l. Are -1\/91 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 1, 0, -19 in decreasing order.\nAnswer: 1, 0, -19, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 459 and 36312.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2104961, -4209920, -6314879, -8419838?\n\"Answer: -2104959*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 10*b**2 + 10*b + 7. Let w be t(11). Let x be (w\/(-12))\/((-3)\/(-18)). What is the remainder when 61 is divided by (-122)\/(-6) - x\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 8*x**2 - 28*x + 91. Determine m(4).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 507115575 to the power of 1\/2, to the nearest integer?\nAnswer: 22519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 3 (c) -25\/13 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 184, 397, 690, 1063, 1516, 2049?\nAnswer: 2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*a - a = 24531, 4*d - 19625 = a. Suppose -5*t = -3*i + 918 - d, -1620 = -2*t - 5*i. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -10*o - 16. Let k(h) = -h**2 + 3*h + 3. Calculate k(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 2742.\nAnswer: 8226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 77424424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*v + 2*v. Let z(k) = -5*k + 3. Let f(w) = 4*w - 3. Let b(n) = -f(n) - z(n). Let x(l) = -9*l + l + 2 + 3*l - 3*l. What is v*b(s) - x(s)?\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47723?\nAnswer: 13, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161974352?\nAnswer: 2, 59, 171583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - b - 0*b - 43, 2*b = 2*m + 26. Let u = m + 29. Suppose -3*n + 8*n = u. Solve -20 = -5*v, 3*q + 2*v = -n + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - 1. Let l = d + 6. Suppose 1241*u = 1246*u. Sort u, 3, l in descending order.\nAnswer: 3, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 43, -1\/2 in increasing order.\nAnswer: -8, -1\/2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(4752)*3)\/(sqrt(132)\/sqrt(768)).\nAnswer: 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3398 is divided by 567.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1633*j**3 - 12*j**2 + 18*j - 9. Let m(o) = 409*o**3 + 3*o**2 - 4*o + 2. Calculate -9*m(i) - 2*w(i).\nAnswer: -415*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.319 - -0.181. Let g = 1\/81 - 179\/1377. Let w be (-15)\/4*4\/10. Put j, w, g in increasing order.\nAnswer: w, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 4221114045?\nAnswer: -4221114050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36322 is divided by 203.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/100*15\/(-18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 - 1)*(1 - 1 - 3*h)*(1 - 2 + 9).\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1348*p**2 + 4*p**4 - 9*p**3 + 0 + 1353*p**2 - 5 - 2*p**4 + p as d*p + r*p**4 + g*p**2 + t + u*p**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*v = -6*u - 14, 2*v + 10 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, 5, 8.\nAnswer: -16, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1220202131 (base 4) to base 11\nAnswer: -272783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 + 12*o + 10. Let a = 99 + 5. Calculate the least common multiple of y(-2) and a.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.07 (b) 0 (c) 10 (d) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176*6609.\nAnswer: -1163184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 5273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*a**2*i**2*r**2 + 39*a**2*i**2 + 2*a**2 - a*i**2*r**2 + i*r wrt r.\nAnswer: -54*a**2*i**2 - 2*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - k + 4. What is the remainder when 15 is divided by t(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115.08923 + -115.1. What is a rounded to four dps?\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 153 times 0.483\nAnswer: 73.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 41. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9585353 a multiple of 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1169 and -49.\nAnswer: 57281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.02 (b) 0.5 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -96*z**2. Let u(y) = -95*y - 2. Determine a(u(g)).\nAnswer: -866400*g**2 - 36480*g - 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654555 to the power of 1\/2, to the nearest integer?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-84)*(-1)\/(50\/40)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11535033?\nAnswer: 3, 19, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 18069674 - 18069584 = 0 for w.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.802 - 2.802. What is the closest to -0.1 in -0.3, x, -3.2, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.3 (b) -6\/353 (c) -1\/5 (d) 0.1 (e) -516\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287398.\nAnswer: 2, 143699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*s + 307*s + 166*s = -401*s - 5070 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 21*t + 608. Determine a(-45).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**6\/3 - 66*l**5\/5 - 1772*l**3\/3 + 1256. What is the third derivative of z(w) wrt w?\nAnswer: 120*w**2 - 1584*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 1280 (c) -2 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + -10 + (-392)\/(-40)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let q(r) be the second derivative of 5*r**3\/6 + 3*r**2\/2 - 2*r. Let a = -675 - -678. What is a*f(c) - q(c)?\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*a**5 + 141*a**4 - 4*a**3 + 57750*a**2.\nAnswer: -3840*a**2 + 3384*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 8*n. Let b be (-3 - 4\/2)\/1. Let q = 2 + b. Let g(o) = 3*o**2 - 15*o. Let f(d) = q*g(d) - 5*x(d). Find the second derivative of f(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*p**2 - 1104*p + p**2 - 3*p**2 + 1097*p as z*p**2 + v + g*p and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/11 + 828*u**2\/11 - 1560*u + 86800\/11 = 0. Calculate u.\nAnswer: -434, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13*f - 13. Let r = 364 - 359. Let u(w) = 7*w + 7. Determine r*u(y) + 3*n(y).\nAnswer: -4*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -351881, -1407517, -3166907, -5630051, -8796949, -12667601?\n\"Answer: -351877*z**2 - 5*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**4\/12 - 5*m**3 - 13*m**2 + 42*m. Let x be c(-29). Suppose -2*k - x*k = -180. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169996, 169988, 169978, 169966, 169952, 169936?\nAnswer: 169918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -47108\nAnswer: 17\/47108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260057 is divided by 86561?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.5348 and 5.\nAnswer: 22.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-19)\/(g**(-10\/7)*g))\/(g\/(g*g**(1\/43)))**(-28))**16 assuming g is positive.\nAnswer: g**(-92576\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001100111001001 (base 2) to base 6.\nAnswer: 11055333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**6\/60 - w**3\/2 - 3*w**2\/2 + w. Let m(k) be the first derivative of b(k). What is the first derivative of m(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 + 6145*z\/2 + 1496978\/3.\nAnswer: -(z - 18596)*(z + 161)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-11))\/(90\/795) - 23?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - (-9)\/3 - -6. Find the second derivative of z**4 + z - 2*z**4 + s*z**4 wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -1\/3, -1\/167, -3?\nAnswer: -1\/167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) -2\/3 (c) -1.09 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-2)\/4*0. Let o = 1 - x. Let l be 2 + 2\/(-6)*0. Sort l, o, -5 in ascending order.\nAnswer: -5, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/(-7) - 4\/14. Suppose 4*h = -4, -3 = 2*y - y + h. Sort y, t, 0 in descending order.\nAnswer: 0, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhmhahvvg. Give prob of picking 1 m and 1 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74720047067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z*z*z**(-2\/5))\/(z*z*z\/(z*(z\/((z\/(z*z**18))\/z))\/z)*z**10*z) assuming z is positive.\nAnswer: z**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37146600 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/123 and 40\/63.\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4483 = -90*j - 703. Solve 0 = -4*n - 50 + j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2694*g**3*s**3 + 635*g**3 - g*s**3 wrt s.\nAnswer: -8082*g**3*s**2 - 3*g*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -31*w**4\/24 - 8*w**3\/3 - 11*w**2. Suppose -g - 6 = g. Does 24 divide a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 3*l**2 + 3*l**2 + (-l - 2*l + 2*l)*(0*l + 0*l - l**2).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + 55?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 305.\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - m - 30, 139*c - 2*m = 141*c - 12 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2) + 2 - (-1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 17*w + 18*w + 3 - 32*w. Let a(c) = -5*c - 3. Let f(t) = -4*a(t) - 6*z(t). Let i = -24 - -32. Give f(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.18 - -9. Let p = -0.18 - g. What is the biggest value in -0.8, -0.1, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 - 197 = -v, v - 9 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14555?\nAnswer: 5, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10712415, -10712060, -10711707, -10711356, -10711007, -10710660?\n\"Answer: -v**2 + 358*v - 10712772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 - ((-6972)\/49)\/(-6). Let v(a) = 5*a**2 - 5*a - 6. Let g be v(5). Let p = g + w. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.3. Let i = h - -0.6. Let t = -5.02 - -0.02. What is the smallest value in 0, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3833408.88 rounded to the nearest 10000?\nAnswer: -3830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108880*v - v**3 - 108880*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + v**2 + 1 + 14*v as t*v**2 + r*v + j and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (67 + -68)\/((-10)\/8 - -1). Solve -3 = z*l - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 240*d**2 + 12722*d + 128. Give w(-53).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 smaller than 734120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, u: 3, j: 1, e: 2, l: 1, o: 2}. Give prob of picking 1 e, 1 h, 1 u, and 1 j.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -1\/3*l**4 - 92*l + 0*l**7 + 0*l**5 + 0*l**6 + 0*l**3 - 2 + 6*l**2 + 81\/56*l**8. Find the third derivative of b(o) wrt o.\nAnswer: 9720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 276528 = 4*r - 3*r, 5*r - 92176 = u. Let y = u - -272536\/3. Let m = y - -1319. What is the common denominator of m and 8\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 2:30 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -5. What is the third derivative of 3*t**2 + t**2 - k*t**2 - 5*t**3 wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 1 + 5*p + 4 - p - p in the form w*p + m and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 2. Let p(k) = 6*k + 6. Calculate 6*p(y) + 17*u(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-297216)\/(-90) + ((-13)\/(-5) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43213104 + -2?\nAnswer: 43213102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1047020, -1047053, -1047086, -1047119, -1047152?\nAnswer: -1047185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 6*k - 18 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 1. Let g be p(-6). Suppose -60 = -g*k + 2*d - 7*d, -2*d = k - 8. Suppose 3*j - k = 2*l, j + j - 24 = 4*l. Let z(o) = -3*o - 1. Give z(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.662 - 7.662. Suppose -8 = -6*q + 10. Which is the closest to 0.08? (a) -1 (b) -3 (c) h (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012202100001 + -11?\nAnswer: -1012202100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -9695657.2 to the nearest ten thousand.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*l**5*x + l**4*x - 13*l**3*x + 2*l**2*x + 3*x + 9 wrt l.\nAnswer: -180*l**2*x + 24*l*x - 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 5*t**2 + t + 6. Suppose 5*u + 3 = -4*f - 4, -2*f = 2*u + 2. Let v be 2 - 3 - (f + 2). Give z(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 38*f**2 + 14. What is m(-38)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60\/179 or -73\/1694?\nAnswer: -73\/1694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 - 24*h**2 - 20*h. Let l(q) be the first derivative of 3*q**4\/4 + 16*q**3 + 20*q**2 + 14. Let d(g) = 2*l(g) + 5*v(g). Factor d(i).\nAnswer: -4*i*(i + 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 42750095?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -2*z**3 + 7*z**2 - 46. What is the second derivative of t(y) wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268 and 3831194.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 12*u - 48. What is m(6)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -1220\/11. Let p be (-10)\/(-16)*(26\/(-52))\/(5\/(-2)). Which is the nearest to 2? (a) 4\/3 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14774713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -11\/2. Let n(v) be the second derivative of -t*v**2 + 5\/12*v**4 + 0*v**3 + 0 + v. Differentiate n(k) with respect to k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*z + 306*z + 3 + 246*z.\nAnswer: -50*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/(s\/s**(1\/9)))\/s)\/s)\/(s\/s**(-1\/2)*s)*(s**(-8)*s*s)\/s*s*s*(s*s**4*s*s)\/s*s)**(-23) assuming s is positive.\nAnswer: s**(575\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294893132.\nAnswer: 2, 73723283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 939, 918, 883, 834, 771, 694?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjcc when four letters picked without replacement from cccccccjcjccccccjcjc.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, f: 6}. What is prob of sequence ff?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43194, -173977, -391950, -697113?\n\"Answer: -43595*k**2 + 2*k + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15085, 15214, 15407, 15676, 16033, 16490, 17059, 17752?\nAnswer: 18581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 8 - 2) + -2 + 5. What is the second derivative of 520*v - 19*v**4 - 399*v - 46*v**g wrt v?\nAnswer: -780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 4.\nAnswer: -9, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*r - 0*r, 0 = 3*m - 4*r - 7. Let g be (-2)\/((0 - -2) + -1). Let w = -5 - -5.3. Which is the closest to 1? (a) m (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 242176 + -436?\nAnswer: 241540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**3 + 2*t**2 + 51*t + 2. Let z(g) = -9*g**3 + 5*g**2 + 101*g + 5. Determine 5*w(s) - 2*z(s).\nAnswer: -2*s**3 + 53*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*d + l + 302, -3*d - 184 = 2*l. What is the tens digit of (2\/5)\/((-2)\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61813*k**5 - k**4 - k**3 - 44418402*k**2?\nAnswer: -3708780*k**2 - 24*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27232 + -13622. Round y to the nearest 100.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:53 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -594383, -594348, -594321, -594308, -594315, -594348, -594413?\n\"Answer: -y**3 + 2*y**2 + 36*y - 594420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 89. What is the tens digit of (1 - -2)\/((14\/216)\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*(-7 + -1)*(-11)\/(-726). Let 0*h**3 + 0*h + 10\/11*h**4 + 0*h**2 + 0 + y*h**5 = 0. What is h?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + d**2 + 2*d + 1. Let z be k(-2). Let a = -34 + 61. Calculate the greatest common divisor of z and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 2, 4, 8, 14, 22?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -11*c + 76. Let y be 2\/(-3 + 42\/c + -1). Which is smaller: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, g: 3}. What is prob of sequence gppg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/120 - n**5\/30 - n**4\/4 + 2*n**3 - 8*n**2. Let y be k(5). Calculate the highest common factor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/1127 - 15\/313306. Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -4 + 2 - ((sqrt(931) + 4 + sqrt(931))*-6 - sqrt(931)))**2.\nAnswer: 4312*sqrt(19) + 182960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 13. Let w be i(-4). Suppose -4*y - 125 = -w*y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*2*-2. Let h be (j\/(-1))\/(1 + -4). What is the closest to 2\/7 in -4, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1532)\/(-766))\/(((-4)\/(-23))\/2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c - -5?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*w = -173*w + 36*w + 1976156. What is the highest common factor of w and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2127 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 10) to base 3\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 2*p - 5. Let c be j(4). Let s(x) = -x + 2*x + c*x. Let y(n) be the third derivative of -n**4\/24 - 2*n**2. Give y(s(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23920 - -23926. Suppose f + 3*u = 4*f - 12, -5*u + 34 = 4*f. What is the remainder when j is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -19. Let f be n*((-2)\/(-8))\/(1\/4). Suppose -a - 79 = -215. What is the highest common factor of f and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 4*r - 24 = 0. Let v = 23 - r. Let j = -15 + 27. Calculate the remainder when v is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 191 + -178. Suppose 5*c - 14 = 6. Factor 11 + 16*g - q - 10 - c*g**2.\nAnswer: -4*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1955988940.1 to the nearest one million.\nAnswer: 1956000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 107 + (1 + 16 + -69 - -31)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 43 = -63 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 273906702 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 941? (a) 4 (b) -2\/7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018172 plus 37792830?\nAnswer: 37792830.018172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21538, -86596, -195024, -346822, -541990?\n\"Answer: -21685*n**2 - 3*n + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077306 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*y - 0*y + 4*c, 0 = 2*y + c + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 44. What is the nearest to 0 in -3\/2, 3, y?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2 + 34*n - 21*n + 5*n**2 - 7*n**3 + 0*n**3 - 16*n. Let j(m) = 6*m**3 - 4*m**2 + 2*m - 2. Suppose -60 = -15*p + 3*p. What is p*j(x) + 4*l(x)?\nAnswer: 2*x**3 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-250)\/(-312) - 34\/663)*(-80)\/9.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/13? (a) 1 (b) -1\/11 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 2*w**2 + 446324*w - 446324*w.\nAnswer: -2*w**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = -3*n + 15, 0 = -4*a - n + 20. Suppose -a*i = -1 - 9. Solve -5 = i*o + 1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**(-2\/5))\/d*d)\/(d*(d**10*d)\/d)*d**8\/(d**(-7)\/d*d*d))**(-38) assuming d is positive.\nAnswer: d**(-874\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 3:08 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0624, -0.02, -0.3?\nAnswer: -0.0624","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 59*k + 46. What is the remainder when b(-30) is divided by 189?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*y - 66*y + 162 = -236. Sort 3, y, -3, 249, 0.\nAnswer: -3, y, 0, 3, 249","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82111697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130.1 - 124. Let i = 1.1 - m. What is the smallest value in 4, i, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -4, -3, -0.56 in decreasing order.\nAnswer: 4\/7, -0.56, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = s - 1. Suppose -3*u = -s, 2*x - x - 2*u = 29. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 5:24 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 - 6*m. Let w(l) be the second derivative of -7*l**4\/12 - 2*l**3 - 3*l. Let k(u) = 5*t(u) - 3*w(u). What is the units digit of k(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -90049, -180102, -270155, -360208, -450261, -540314?\n\"Answer: -90053*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 104*v + 4. Let y(w) = 111*w + 5. Give -3*t(j) + 2*y(j).\nAnswer: -90*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205512 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1435 + 2877 + 3*o**3 - 1442.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4517.\nAnswer: 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/4)\/((-24)\/1920*-40)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 48?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/13))**38 assuming v is positive.\nAnswer: v**(-76\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.1 (c) 1 (d) 8 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - s + 1. Let g(r) = 5*r**2 - 3*r + 3. Let o(c) = -g(c) + 3*h(c). Let a(k) = 2*k - 3*k - 5*k + 3*k. Determine o(a(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 127*y**3 - 5 - 64*y**3 + 3 - 2*y**2 - 54*y**3 as d*y + x*y**3 + b + f*y**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9609449 and 3734.\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 44221031 (base 8) to base 10\nAnswer: 9511449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-15) + -1 + (-12)\/(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + (8 + 2 - 1) - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 10*j**2 - 11*j - 13. Let p be a(-9). Suppose q - 6 = p*u, -3*q - 3*u + 99 + 9 = 0. Solve -4*c - 1 = -3*h, -2*c + 13 = 2*h + q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181 divided by 2792.\nAnswer: 181\/2792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-14)\/p*p)**(-16)\/((p\/(p\/(p**(-27)*p)))\/(p*(p\/(p*p\/(p\/(p**(-33)\/p))*p*p*p))\/p)) assuming p is positive.\nAnswer: p**265","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2.55*673173\nAnswer: -1716591.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.10674 + 0.06674. Does 556 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c = -8. Let t(k) = -26 + 5 + 2*k - 2*k + c*k. Let y be t(6). Is y < -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/14 and -77\/3436480?\nAnswer: 24055360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 128, -1, -4416, 4.\nAnswer: -4416, -4, -2, -1, 4, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236815, -236810, -236797, -236770, -236723, -236650, -236545?\nAnswer: -236402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (1 + 1) - (44 + (-1 - 12)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + 28.95. Let o = r + -31. Let s be (-30)\/(-8)*2\/10. Which is the second biggest value? (a) -1\/2 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15))**(-15)*(h\/(h*h*h\/h**4*h*h))**(-1\/2) assuming h is positive.\nAnswer: h**225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 37\/(-60) + (-30)\/(-45). Let m = 9\/20 + w. Factor -1 + 5\/2*b**3 + 4*b**2 + m*b.\nAnswer: (b + 1)**2*(5*b - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (330\/176*(-4)\/(-10)*2)\/((-570)\/152)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*p, -3*p + 2*m + 1 + 1 = 0. What is the second derivative of 12*g + 183*g**2 - 197*g**p - 4*g wrt g?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -316*l**2 - 620*l + 24.\nAnswer: -4*(l + 2)*(79*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 - 159. Put k, 1, -4, 2 in decreasing order.\nAnswer: 2, 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + -1.12. Let y = 1 + n. Let d = -5 - -1. What is the third biggest value in d, -2, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:11 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76933.853 + -76864. Let r = v + -70. Round r to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hczaazttzacahhhc. What is prob of picking 1 t and 3 z?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzffsy. Give prob of picking 1 s and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15 = -d. Is 953\/6 + d\/30 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16620 and 7611.\nAnswer: 42164940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 49662 divided by -3\nAnswer: -16554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t**2 - 5*t + 10. Let s(v) = v - 10. Let i be s(15). Let h(z) = z**2 + 1. Let p(f) = i*h(f) - c(f). What is p(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24766 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/7, -4, 6, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 19. Let k = 1.6 - -0.4. What is the second biggest value in k, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626824 is divided by 312349.\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2035\/11)\/((-24)\/(-12)*(390\/12)\/13)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23887.3 - -23887. Let p = -2 - -1. Which is the nearest to p? (a) 2\/9 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p - 12*p = 60 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12 = 3*j - 4*j, -5*a + 10 = 2*j. Suppose 10*q - j - 30 = 0. Solve -9 = -2*h + q*m - 37, -4*m = 3*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/7 + 513*q\/7 + 175446\/7.\nAnswer: -3*(q - 342)*(q + 171)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -10*f + 156 - 87 - f**3 + f**2 - 72. Let s be k(0). Which is the closest to 0? (a) 5\/2 (b) 0.8 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 13*g**5\/30 - g**4\/24 + 3*g**2. Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10 - 2166\/(-216) - 4\/(-18). Which is bigger: b or -0.027?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201268\/5 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36773\/33 - 4\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = 5*f - 14*f. What is the remainder when f is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1024*f**4 + 16*f + 27 wrt f?\nAnswer: 12288*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115 - 114. What is the nearest to -0.1 in -2\/3, 4, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23\/7 + (-4)\/14. Suppose n - 104 = -l*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2660 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 9:04 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 2. Calculate f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = z - 4, 113 = -2*n + 5*z + 106 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 + 0.179.\nAnswer: 34.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2 = 4*b + 10, 2 = -b - 5*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -16*j**2 - 30*j + 10. Let x(l) = 3*l**2 + 6*l - 2. Let p(i) = -2*v(i) - 11*x(i). Determine p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 33, -6, -61, -132, -219, -322?\n\"Answer: -8*t**2 + t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 4, -213 in ascending order.\nAnswer: -213, -6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*w = -2*n - 43*w + 32, -2*n - w + 22 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -33 in increasing order.\nAnswer: -33, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, -4, 240.389 in increasing order.\nAnswer: -4, 0, 10, 240.389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15900.84084 rounded to the nearest 10?\nAnswer: -15900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001033507 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/((-2*sqrt(28))\/sqrt(4)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3516 is divided by 49.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*z + 72. Let k = 75 + z. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 121 = 5*x, -4 = 2*r - 3*r - 4*x. Suppose 26*b - r*b = -4. Is 4 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2498348 litres in millilitres?\nAnswer: 249.8348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 667120488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 k when three letters picked without replacement from flfllkkklllklllhlf.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 8*s**2 - 3*s - 3. Suppose -5*f + 33 = 4*x, -2*f + 6 = -0*x - 2*x. Is q(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*b + 388. Is 41 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/4)\/(13\/52). Suppose g + 4*k + 81 = 2*g, k - 307 = -4*g. Calculate the greatest common factor of f and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 22263*k + 22260.\nAnswer: 3*(k + 1)*(k + 7420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -1. Let j = -8 - f. Let p = 2.0469 - 0.0469. Which is the biggest value? (a) j (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-25956)\/168)\/309)\/((-2)\/(-72)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 61398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 5801?\nAnswer: 5804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -197*u + 2*u**3 + 15 + 0*u**3 + 200*u + 10*u**2. Let d be b(-5). Solve -5*p + 25 = 2*v, v + 3*p - 16 + 2 = d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 5. Let m be u(4). Let k(o) be the third derivative of -o**6\/120 + 2*o**5\/15 + 11*o**4\/24 - 5*o**3\/3 - 9*o**2. What is the units digit of k(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-23)*(-9)\/(-9). Let w = -78\/161 - j. Put 1\/4, -4, w in decreasing order.\nAnswer: 1\/4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1635)\/(-654))\/(20\/3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1746170?\nAnswer: 2, 5, 174617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 9690 (b) -3 (c) -0.3 (d) 3 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 0.014, 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + f + f - 4*f - 4*z - 48 = 0, 3*z - 55 = -5*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 766513?\nAnswer: 766511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 925*q + 920.\nAnswer: 5*(q + 1)*(q + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(1 + sqrt(17)) + -4 + sqrt(153)\/(sqrt(225) - sqrt(225)*2 - sqrt(225) - sqrt(225)).\nAnswer: -1 + 74*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/4 - 11*k**3\/3 - k**2\/2 - 13*k - 2. Let h be b(-11). What is the smallest value in h, 2\/3, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 11. Suppose -c = -3*h + 32, m + 19 = -5*c. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -8*a + 248. What is the remainder when a is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) -9 (c) -0.4 (d) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6180848003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-204)\/(-48) - (-1)\/(-4). Suppose 3*k - 11 = n*r, 2*r - 5*r + 28 = 5*k. Suppose 5*t - k*f = 1710, -t + 340 = 4*f - 3*f. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.3 rounded to 0 dps?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 84, 94, 116, 156, 220, 314?\n\"Answer: y**3 + 3*y + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - z + 7325, 68*z - 63*z + 14657 = 4*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssppspss. What is prob of sequence pss?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or 566.1225?\nAnswer: 566.1225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 3*o - 27. Let l be a(-7). Let h(r) = -r + 1 - 3*r**2 - 4*r**3 + 4*r**2 + 0*r. Give h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 + 5*a**2 + 5*a**2)*(-702 + 16*a**3 + 702 + (-2*a**2 - a + a)*(-4*a + a + a) - a**3 - 6*a**3 + 0*a**3 - 3 + 3 + a**3).\nAnswer: 42*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1761 = 23*d - 561 + 387 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 109556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 6.7. Let j = -5.6 + 6. Let d = q - j. Which is bigger: d or -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3 = -3*j, -57*t + 61*t - 12 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -385\/318 + 905957\/636. Let p = o + -1423. Let x = -6.3 - -6. Which is the nearest to p? (a) x (b) 12\/5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 480 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 13 = -2*i - 5, -4*x - 23 = 3*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 52 = 4*s, 19*s + 4*j - 71 = -2*j + 7*j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 368*y - 24 - 868*y - 1137*y - 18 to j*y + c and give j.\nAnswer: -2373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0 + 0)*(-9*c + 7 - 7).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 4\/25471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q - 152. Let t be g(22). Let v(k) be the first derivative of 0*k**3 + 0*k**2 - 1\/4*k**4 + 2 + t*k. Differentiate v(p) wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/4 + 7*i**3\/3 - i**2\/2 - 6*i + 65. Let q(r) = 5*r + 3. Suppose 4 - 2 = -g. Let z be q(g). Calculate w(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.021 + 14.021. What is the closest to -0.1 in z, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -bb?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2392*h**5 + 2*h**3 - 2265*h**2.\nAnswer: 143520*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-140)\/(-40)*2\/(-28))\/((-1)\/(-4)). Put 27, -4, c, 0, 3 in decreasing order.\nAnswer: 27, 3, 0, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 3*f - 8, 3*l + l - 5*f + 18 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 4. Let u = 69 - 101. Let b(x) = 10*x + 24. Let r be b(-6). Let y = r - u. Calculate l(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.185, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14737 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, q: 1, f: 1, x: 1, s: 2}. What is prob of picking 1 l and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -1\/3*t**3 + t + t**2 + 1. Let x(h) be the first derivative of p(h). Differentiate x(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 4*l + 3. Suppose -4*c = -l*c - 157. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(2736) - (sqrt(171)*-1 + 2)) + (((1 + sqrt(304))*3 + 3 + 1*sqrt(304))*3)**2.\nAnswer: 1659*sqrt(19) + 44098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1894, 4502, 7826, 11872, 16646, 22154, 28402?\nAnswer: 35396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 36 = 2*a. Let v be (1 - 60) + a + 10. Round v to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 23 - 15*d + 0 + 13*d in the form n*d + k and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14170 and 3488?\nAnswer: 226720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6323884 or -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4147581184 to the power of 1\/3, to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 400637 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232624169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851867 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 5*h**2 + 4*h. Suppose f = -i - 4, 6*i + f = 3*i - 14. Let l be r(i). Let b(z) = z**3 - 11*z**2 + 11*z - 30. Let k be b(10). Is l < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**3 + 2*s**2 + 10*s - 34. Is 21 a factor of w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 574 and 656?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 - 2*c**4 - 2*c**5 + (0*c**3 + 0*c**3 - c**4)*(0*c + c + c) - 2*c**5 + 2*c**4 + c**2 - 2*c**4.\nAnswer: -6*c**5 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from aadaaaaaadddaaadaaa.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60525\/652 - -108732715\/5868. Let c = k + -18429. Calculate the common denominator of c and -69\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 39 + 2 + -11 + 12\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -601, -599, -599, -601?\n\"Answer: -q**2 + 5*q - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24939, 49783, 74531, 99183?\n\"Answer: -48*y**2 + 24988*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 13*j - 66. What is g(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 3*w + 6. Let c be t(-4). Find the second derivative of 111*j + 16*j**2 + 7*j**c - 144*j**2 wrt j.\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 5*k - 7*k + 15*k + 21*k**3.\nAnswer: 21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -519\/1792 + 1\/256. Suppose -309 = -17*f + 116. Let k(n) = n**3 - 25*n**2 + 2*n - 51. Let g be k(f). Which is the nearest to s? (a) 0.4 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 171 + -169. Let r be 0*2\/6 - m*-3. Solve 0 = 5*d - 3*z - 2*z - 10, r = 3*d - 2*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 - 2*f**2)*(141 + 83 - 321).\nAnswer: 194*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (-6*sqrt(12)\/sqrt(6) + sqrt(350)\/sqrt(7))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7168689 (base 10) to base 16\nAnswer: -6d62b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -17)\/((2*-1)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 17*q - 247 = -12*q. Let j be 0 - 2*13\/(-1). Suppose -4*u - 5*s = -0*u - q, j = 5*u + 4*s. Calculate the remainder when 9 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 3. Let w be z(-3). What is the third derivative of -4*d**2 - d**3 + 3*d**2 + 2*d**2 - d**w wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 149 + 58 + 342*p + 115 - 3*p**2 + 23.\nAnswer: -3*(p - 115)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 + -16) - (-129)\/(-21)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o**2 + 4. Let b be 6 + 1\/2*0\/(-13). Let f(l) = -14*l**2 - 8. Let c(j) = b*f(j) + 11*p(j). Differentiate c(t) wrt t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 0, -7*o + 2*o + 30 = -5*p. Let m = 2159 + -2157. Solve y + m*y = -o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262 (base 7) to base 12.\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, -15, 3.\nAnswer: -294, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214 (base 6) to base 2.\nAnswer: -1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, s: 2, j: 2, h: 1, p: 2, m: 1}. What is prob of picking 1 m and 2 p?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/74)\/((-2)\/(-1))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -126635385 rounded to the nearest 10000?\nAnswer: -126640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1773308um?\nAnswer: 0.0000001773308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yewwkyykwwyey. Give prob of sequence ke.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - a - 4. Suppose 3*o = a*o - 80. Let d = -25 - -41. Calculate the greatest common divisor of d and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4446079 milligrams?\nAnswer: 0.0000004446079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 86 = -17*q. Let v(t) = 2*t**2 - 16*t + 26. Let h be v(q). Solve 0 = f + 2*f - h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a kilometer?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = i - 6*i + 91, -5*s - 49 = -2*i. Suppose i*k = -7*k + 95496. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 take away -19.874?\nAnswer: 23.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 1764.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.025 - -0.375. Let g = 6 - 10. Put 0.2, g, i in ascending order.\nAnswer: g, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*w + 3. Let g be 1\/(1\/w*2). Let o = 138464 + -138463. What is the closest to g in o, 3\/4, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 764 = -6*d. Suppose -185*j - 18 = -d*j. Find p such that 3267\/8*p**4 + 87\/2*p - 3 + 1353\/8*p**j - 771\/4*p**2 = 0.\nAnswer: -1, 2\/11, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) - 3 - -1377. Suppose 0 = 133*m - 167*m + 33252. Suppose m = 3*j - i. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.26*15\nAnswer: -363.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*4\/16 + (-1013 - 5). Is m\/(-14) + -2 - (-28)\/98 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60865 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1001 and 125\/858?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -193 divided by -8\nAnswer: 193\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 2*c. Let x be m(-2). Let u be 8\/(-2)*3\/3. Let y be 56\/(-21)*(-2)\/u. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 - 21. Let x = 2 + h. Calculate the smallest common multiple of x and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 311 - 692. Let c = -368 - k. Solve 9*h = c*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 142*g + 3. Is q(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5*z**3 + 0)*(2*z + 0*z + 0*z) - 7*z**4 + 2*z**4 + 3*z**4 + z**4 - z**4 + 4*z**4 + (-11*z**3 - 3 + 3)*(-3*z + 6*z - 2*z).\nAnswer: -19*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 389130766*0.2\nAnswer: 77826153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-20) + 646\/5. Suppose 3*b - z = -0*b. Let a = 45 - b. Solve a*u + 5 = -3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = -20 + 8. Does 8 divide (-2)\/r - 1\/(-2)*236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**3 - 2. Let w(j) = -5*j**3 + 2. Let x(l) = -4*l + 14. Let z be x(2). Let t be z\/(-8)*60\/(-15). What is t*w(v) + 2*b(v)?\nAnswer: -3*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -0.57, -1\/7 in descending order.\nAnswer: 42, -1\/7, -0.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001567269154 rounded to 6 decimal places?\nAnswer: 0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 352258 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 1 = k - 0, -5*x - 4*k + 9 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2563487347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7158370*d**2*m**2*o - 20*d**2*m**2 + 270*d**2 + 54*d*m + 2*d wrt o?\nAnswer: 7158370*d**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 152 = -40. Let w = 7252 - 7255. Let q be (-64)\/p - 106\/w. What is the highest common factor of 306 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559282 less than or equal to 1559281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 3*n = s + 4, -s + 5*n - 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719547.12 rounded to the nearest 1000?\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*v**2 + 1024\/3 - 2\/3*v**3 - 128*v.\nAnswer: -2*(v - 8)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1053 - 1054. Is j < -4\/559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 7. Let g be l(3). Let w be (g\/(-4))\/((-5)\/400). Let t = -73 + w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 15640 = -76*j - 50*j. What is the remainder when j is divided by 93?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*s - 255 = 0, 562*x + 239 = 563*x + 3*s. Solve 219*y - x*y - 30 = -5*j, 1 = y - 2*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from yzzzndzhgdzzd?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ommvomuccmxu. What is prob of picking 1 m and 1 o?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36479*c**4 - 20910 wrt c?\nAnswer: 145916*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 307229*d = 307224*d - 150, -d - 30 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/54 and -85\/138.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111101 (base 2) to base 9.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -11*r**4\/4 - 15*r - 4. Suppose 5*t + 5 = 5*l, 0*t + 5 = 5*t. Let n(u) = l*u + 87 - 87. Calculate n(x(q)).\nAnswer: -66*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/6)*q**14 assuming q is positive.\nAnswer: q**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 + 28847b?\nAnswer: 288453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.078639*2.\nAnswer: 0.157278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -781, -6277, -21135, -50011, -97561, -168441, -267307, -398815?\n\"Answer: -776*w**3 - 25*w**2 + 11*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 862721, 862790, 862859, 862928?\nAnswer: 862997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1)*(-10 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -6\/55, -2\/19, 0.5 in increasing order.\nAnswer: -6\/55, -2\/19, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 165 - 4?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -3\/5, 9, -1.3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a + 19 - a + 2*a**2 - 21*a - 19.\nAnswer: 2*a*(a - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (-149 + 25 - -85)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 185.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-11) + (-2270)\/(-22). Let b be 4\/(-14) + c\/(-7). Find the common denominator of -49\/8 and 2495\/150 - 3\/b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43831*h - 43715*h = -1443 - 2153 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**2 - 1701*f + 14. Let h(y) = 4*y**2 + 850*y - 6. What is -7*h(o) - 3*q(o)?\nAnswer: -o**2 - 847*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/936 and -115\/15912.\nAnswer: 15912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21301 is divided by 1936.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77940 - 4*m**2 - 4*m**2 + m + 77940.\nAnswer: -8*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, -3, -4\/51, 4\/5, -7, -1\/6 in ascending order.\nAnswer: -7, -3, -1\/6, -4\/51, 2\/31, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*d**4 - 966*d**3 + 4527*d**2 - 3510*d = 0. What is d?\nAnswer: -390\/17, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + 0*d + 2*d)*(-4*d**2 + d**2 - d**2)*(67*d - 67*d - 110*d**2).\nAnswer: -1320*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 5. Let m(y) be the second derivative of -3*y + 0 + 1\/2*y**2. Let z(g) = g**3 - 2*g**2 - 2*g - 1. Let a be z(-1). Give a*i(r) - 11*m(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqeuuuusuuueuesq. Give prob of sequence sse.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + d**2 - 6*d + 0*d**2 + 1. Let p be f(2). Let j(v) = v**3 - 6*v**2 + 7*v + 9. Let b be j(4). Sort -2, p, b.\nAnswer: p, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.27*-4\nAnswer: -29.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 2240?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100111110 - 1010010100101?\nAnswer: -1101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = -1196. Let q be (-50 - (-24783)\/495)*(195 - 0). Calculate the highest common factor of n and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) + (-243)\/(-12). Solve -2*s - 3*s = w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*-5 + -4*sqrt(33)*2)\/((sqrt(704) - (sqrt(704) - 6*(sqrt(704)*-1 - sqrt(704))))*4).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)*-4*3. Suppose -i + 6 = -4*x, 5*i - x = 4 - m. Sort i, -7, 0 in ascending order.\nAnswer: -7, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -921 = -3*t + 3*i, 2*t - 6*t + 1243 = i. List the prime factors of t.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-21))\/(35\/(-49)). Let a = 0 - 0.1. Let g = 0 + a. What is the nearest to q in g, -3\/7, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 332.0265 - 0.0265. Let j = -332 + m. What is the nearest to 11 in j, 1\/8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1634, -1145, 184, 2773, 7042, 13411, 22300, 34129?\n\"Answer: 70*r**3 - r - 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -1570481826453?\nAnswer: -1570481826453.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-1))\/(-3))\/(5\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + -6*(sqrt(300) - (sqrt(300) + 0)) - (3 + (sqrt(300) + -1*sqrt(300))*-4))**2*-3.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 727747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - (2 + 17\/8) and (1\/3 + 1408\/(-48))\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*z + 840. Suppose -c = -3*c - z. Let j = c + 95. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-35)*15*30\/(-12)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-6) - 14\/(-1). Let c be 1*(-12)\/w*-4. Solve -g - 2*h + 17 = h, -c*h = -12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -726917 - -1460906. Suppose 4*w + g = 4133989. Round w to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -12\/5*t**4 - 507 - 57*t**3 + 4173\/5*t - 1341\/5*t**2 = 0.\nAnswer: -13, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 2912577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 7*r + 40. Let f be d(11). Suppose 58 + 5 = v. Calculate the remainder when v is divided by (f - 19)*(-2 + 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 119334762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 102\/191, -4.\nAnswer: -4, 102\/191, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-2 + 3 + (sqrt(17) + -1 + sqrt(17) - sqrt(17)) + sqrt(17) - (-4 + sqrt(425)*-1))**2 + -1.\nAnswer: -132*sqrt(17) + 2092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 324\/1728 - 100\/(-64)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7879830*n**2 + 1 - 1.\nAnswer: 7879830*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 9*n**3 + 0*n**3)*(-4*n**2 + n - n**2 + 4*n**2) + n**4 + n**5 - n**4.\nAnswer: -10*n**5 + 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1390)\/(-22) + (-2)\/11. What is the greatest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -853 - -47. Suppose -7*y = -2*y + 2675. Let x = y - p. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(90)*6)\/(((sqrt(48)\/sqrt(4) - sqrt(12)) + sqrt(12))\/sqrt(2)))\/((-3*sqrt(3) + sqrt(3))*5 + (sqrt(243) - (sqrt(243) - sqrt(243)*3))).\nAnswer: -24*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -2*y. Suppose -21 = -3*g - 3. Calculate the remainder when y is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a factor of 2394486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9626297, -9626299, -9626301?\nAnswer: -9626303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 7) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 552294*z**2 + 6039. Let r(t) = 549*t**2 + 6. What is -2*c(m) + 2013*r(m)?\nAnswer: 549*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 14*l + 81 + 34*l - 121*l**2 - 33*l**2 - 26 + 7*l. Let n(j) = -11*j**2 + 4*j + 4. Calculate -4*k(w) + 55*n(w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = -4*x - 8, -26 = 5*x + 2*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268738975 divided by -25.\nAnswer: -10749559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (98 + (-5032)\/51 - ((-92)\/(-6) + 0)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -70 (b) -1\/4 (c) -0.015 (d) -3\/10 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25933 (base 13) to base 9.\nAnswer: 115511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1 + -5 - -7. Let v be o\/((-12)\/(-9))*1. Let b(m) = -2*m**3 - 7*m**2 + 8*m + 5 + 4*m**3 - m**v + 1. Give b(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29450 and 1337650?\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5038.632 * 0.4.\nAnswer: 2015.4528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1266513 (base 7) to base 15.\nAnswer: 34b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 621\/2 - 311. Which is the closest to 1? (a) u (b) 4 (c) -10\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8527?\nAnswer: 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910*v = -7*g - 911*v + 38, -12 = -4*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222230524 - -5?\nAnswer: 222230533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*q - 749 - 97 = -88*q for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1190 divided by -5?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + -1573?\nAnswer: -1572.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1472 and 37\/1349568.\nAnswer: 31040064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154890*n**4 + 59595*n wrt n?\nAnswer: -1858680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = t + 6*v, -6 = 2*t - 5*v. Let p(j) = 9*j + 13. Let f be p(t). Does -14 = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 22 = -22. Let l be (-29)\/(-9) + r\/(-99). Solve 0 = -i + l*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 11*z**2 + 2. Let g be w(11). Suppose -5*r + g*r = -3*a + 717, 0 = r - 5. Suppose 4*j + 5*h = 346, 3*j - 6 = h + a. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 10*r**2 - 10*r - 7. Let p be v(11). Let w be ((-12)\/8)\/((-6)\/p). Suppose 0*s = -2*s - 3*h + 1, -2*s - 2*h + 4 = 0. Solve s*f = -11 + w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12945 and 1189695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.15 (b) 997 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 27*o + 29. Let r be k(-28). What is the highest common factor of 11 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3*2)\/((88\/42)\/22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36113196, 36113199, 36113202?\nAnswer: 36113205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from {m: 7, u: 1, h: 2, f: 7}?\nAnswer: 49\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 26*b + 41. Let i be s(10). Let l = i + -181. Calculate the remainder when 212 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 + 9*y + 5. Let l be r(-4). Let q(h) = h**2 - 15*h + 41. Is q(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72.3 + 11.3. Let n = -60.99999897 - v. Round n to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1511 - 1497. Is l not equal to -89\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.037*-29\nAnswer: 1.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**2 - 14 + 10 + 3*n + 3*n**2 - n**3. Let z be q(-4). Solve z*p = -4*p - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -859080*v - 1355428*v - 185623*v.\nAnswer: -2400131*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5 = -3*z - 6, 0 = 4*z - 3*i + 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -157*j + 968 + 288 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4976\/(-7464))\/(-2*2\/30). Let f(d) = 8*d**2 + 29*d + 9. Let u(r) = 3*r**2 + 10*r + 3. Let c(t) = -4*f(t) + 11*u(t). What is c(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**3 - 277*m**2 - 84*m + 46. Calculate y(28).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/9804 and -181\/245100.\nAnswer: 245100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - 0.07. Let l = u - 0.18. What is the closest to 1\/2 in l, 1, -2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207529\/8580 + -1265\/52. Calculate the common denominator of -55\/6 and n.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - ((-9)\/(-3) + 0). Let l be (-2)\/3 + c\/3. Suppose l = 2*j - 3*j + 31. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + (sqrt(117) - (sqrt(117)*-2 + sqrt(117))))*3)\/((sqrt(216)\/sqrt(12))\/sqrt(2)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 10:20 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (65*t**2 - 151*t**2 + 67*t**2)*(-4*t**2 + 5*t**2 - 3*t**2) in the form g*t**4 + c + b*t + i*t**3 + p*t**2 and give g.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t + 10 = 0. Let y(p) = 2 - 5*p - 4*p - 5*p + 15*p. Calculate y(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -1.4 (c) -2 (d) 65 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3 - 7308*y**2 - 3413340*y - 68494356 = 0.\nAnswer: -903, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17382 + -17382.0319. Which is the closest to 0.1? (a) m (b) -5\/3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 8*i**7\/105 + 161*i**6\/75 - 1401*i**5\/100 + 769*i**4\/24 - 95*i**3\/3 - 67*i**2 - 7. What is t in m(t) = 0?\nAnswer: -19, 2\/5, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 33. Solve w + p = 4*b, 3*b + 5*w + 0*w - 40 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 1\/20*m**5 + 0 + 1\/3*m**3 - 3*m - 1\/2*m**4 - 7\/2*m**2. Calculate u(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 134623?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/((-2)\/(-8)). Let l be -10*(1\/b)\/1. Suppose 2*q = -1 + l. Put 0.2, 5, q in ascending order.\nAnswer: 0.2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -0.98. Let w = m + -0.0199904. What is w rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**3*x + 7*f**3 - 3*f**2 + 2*f*x - 4*f - 4 wrt f?\nAnswer: -24*f*x + 42*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen eighths of a second?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:24 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - q - 42 = -3*q, 4*q + 4 = b. Let w be (0 + 4)*-1*b. Let m be (-7)\/84*w\/(-6). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**6\/180 - u**5\/45 - u**4\/36 + 2*u**2 - 7. Let j(k) be the second derivative of i(k). Factor j(q).\nAnswer: -2*q*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 440*d + 2860. Is 129 a factor of s(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 11*z - 8. Calculate the remainder when w(-9) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.342 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/2)\/i)**37 assuming i is positive.\nAnswer: i**(-185\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 39. Let f(v) = -2*v**2 + 12*v. Let m be f(6). Suppose -t + c + 18 = m. Does 23 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-55) - ((-92)\/(-5) + 2). Is w at least -206\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/3*(-1)\/7. Let x = -1.1 + 2.1. Let s = 1.2 - x. Which is the closest to 0.2? (a) z (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2902, -2927, -2952, -2977?\nAnswer: -3002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*8\/224)\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 874, 882, 890?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0687522 and 308.\nAnswer: -21.1756776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 h, and 1 p when three letters picked without replacement from pnppppphddtbdpphpn?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1893962?\nAnswer: -378792.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133*g**2 - 52*g**2 + 95*g**2 - 20*g**2 + 84*g**6 + 86*g**2 wrt g.\nAnswer: 10080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + 2 + 8483 + -8391?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2513, -5050, -7579, -10094, -12589, -15058?\n\"Answer: i**3 - 2*i**2 - 2538*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z**3 - 32*z**2 + 11*z. Let y(f) = -4*f**3 + 11*f**2 - 4*f. Let k(p) = 79*p**2 - 472*p - 20. Let a be k(6). Calculate a*y(b) - 3*j(b).\nAnswer: -b**3 + 8*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:44 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6226 (base 10) to base 8.\nAnswer: 14122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3579*q - 39 = 3574*q - b, -b = -4*q + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from {p: 5, c: 3, k: 1, a: 1, d: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 - 784575*t**4 - 10200020*t**3 - 47077840*t**2 - 87879360*t - 50216960 = 0.\nAnswer: -4, -1, 156928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -4 (c) 3 (d) -1\/2 (e) 19630\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 25*g - 148. What is q(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + -2 + sqrt(275))**2 - ((0 + sqrt(275))*4)**2)*3.\nAnswer: -24654 - 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.94 + -17.93. Let l = -3.4 - 29.6. Let w = l - y. Round w to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363035 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:48 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 306 - 212. Suppose 22 = 2*g - 2*c, 5*c + 27 = 2*g + 8*c. Calculate the remainder when u is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -18443, -4.\nAnswer: -18443, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6137 - -6164. Let i(v) = -v**3 - 5*v**2 - 2*v. Calculate the remainder when b is divided by i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2. Let x(t) be the second derivative of 0*t**3 + 2*t + 1\/12*t**4 + 0 + 0*t**2. Give v(x(g)).\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*a = -y + 19, -y - a = -4. Is 8 a factor of -3*y + (-2 - -5) - -9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664 a factor of 10142720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14274*b - 6987 - 6*b**2 + 3*b**2 + 8867*b + 7194*b wrt b.\nAnswer: -6*b + 1787","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/156)\/((-18)\/(-16) + -1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23910\/6376*72\/10.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (sqrt(260)\/((sqrt(320)\/sqrt(8))\/sqrt(8) + sqrt(5) + sqrt(5)) + sqrt(104)\/(sqrt(2) + sqrt(242)*-2 - sqrt(2)))**2).\nAnswer: -27484\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i + 4. Let x(s) = s**2 + 25*s - 2. Let g be x(-25). Put 5, g, i in increasing order.\nAnswer: g, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*w = 10, -4*y + 4*w + 30 = -y. Suppose -y*g + 9240 = -5570. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*c + 9. Let z be c\/(2 - 18\/12). Solve 4*p - 2 = z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2257 + 3492. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5231235 (base 6) to base 5\nAnswer: 31044111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324901494 divided by 6279154?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 17\/70*k**7 + 0*k**5 - k**2 + 0 + 0*k**6 + 33*k + 23\/3*k**3 + 0*k**4. Differentiate u(d) with respect to d.\nAnswer: 204*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -417 (b) -3678 (c) -0.4 (d) 5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -2, 4 in descending order.\nAnswer: 52, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -19. Let y be (m*(-4)\/10)\/(6\/(-30)). Suppose 5*q = -0*q + 25. Solve -2*u = -q*c + 23, y*c - u = 3*c - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 6 = -3*u, 5*u = 5*h + 16 - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 0)*(191*r - 72*r - 87*r - 1)*(2 + 3 - 1) in the form j + c*r and give c.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 7*a**2 + 4*a + 7. Let q(l) be the first derivative of 4 - 2*l + 2\/3*l**3 - 1\/2*l**2. What is 2*i(c) + 7*q(c)?\nAnswer: -2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - -2) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -776\/3 - -259. Which is the third biggest value? (a) l (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i**3 - 3*i**2 + i. Let z = -266 + 268. Suppose -2*v - 7 = -o, 4*o - 8*o - 2 = z*v. Give d(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 784688.9 millennia in years?\nAnswer: 784688900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g**5 + 133*g**4 + 87*g**3 - 161*g**2 - 96*g + 28 = 0. What is g?\nAnswer: -14, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5692 - 5693. Sort -12, -2, 1\/10, -5, x in ascending order.\nAnswer: -12, -5, -2, x, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000055968 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + 1 + -4 + sqrt(272)*-3).\nAnswer: -60*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 974 - 3122?\nAnswer: -247b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - 78*2*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2995 and 4?\nAnswer: 3.7005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 8505047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*p**3 - 33*p**3 - 44*p**3 - 40*p**3 - 34*p**3 - 41*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**4 + 145*x**3 - 60*x**2 - 100*x.\nAnswer: 5*x*(x - 1)*(x + 10)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1986 - 362 = 4*s. Suppose -2*i + 4*y + 2242 = 0, i + 2*y = 711 + s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - f4449?\nAnswer: -f4449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -7) + 2 + (-72)\/9. Find the second derivative of -60*d + 12*d**4 - 175*d**2 + 351*d**o - 176*d**2 wrt d.\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1374, 840, 308, -222, -750, -1276, -1800?\nAnswer: -2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 538109 - 343241 = -15137*k - 385656 - 403381 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32\/48*(-108)\/(-288)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0171 * -0.96\nAnswer: 0.016416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 6*q - 2*q)*(1 - 1 + 4*q**3 + (3*q**2 + 0*q**2 - q**2)*(0*q - 2*q + q)) to the form k*q**2 + x*q + b*q**4 + z*q**3 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 + 1)*(-1 + 0 + 2) + 9 + 22 - 7)*(2*o + 2*o - 5*o) to the form d*o + a and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 + 791*n**3\/2 + 13389*n**2 + 46215*n\/2 - 4225 = 0.\nAnswer: -65, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (37 + (-4 - -1))*(-206)\/(-1751). Determine u so that 0 - 10*u + 19\/2*u**2 - 1\/2*u**o + u**3 = 0.\nAnswer: -4, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15408270*z**2 - 753833*z - 3 wrt z.\nAnswer: 30816540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 3*n - 1. Suppose 5*x - 3*l = -8*l + 50, 0 = 4*x + l - 28. Is j(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80938577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*5930655.\nAnswer: 17791965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 192, 42, 5, -410 in descending order.\nAnswer: 192, 42, 5, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.65 less than 47607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(468)*-4)\/(sqrt(484)*4))*-1)**2.\nAnswer: 24*sqrt(13)\/11 + 2053\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2478 at least as big as -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -23*1*(-1 + 0). Calculate the highest common divisor of 92 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1111 - -1675. Suppose -7*y - 552 = -4*g - 3*y, 4*g = y + d. Suppose -7*p + g = -5*p. What is the remainder when p is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8005*h**3 - 4028*h**3 - 3967*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -186 - -186.195. Let w = u - 0.071. Round w to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21022120102000 + -10?\nAnswer: -21022120102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 3:30 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 2*q**5 - 2*q**5 + (4*q**3 + q**4 - 4*q**3)*(4*q - q - q) - 474*q**3 + 235*q**3 - 7 + 4*q**2 + 237*q**3 + q**5.\nAnswer: 4*q**5 - 2*q**3 + 4*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110\/797 + 237481\/28692. Let f be (-124)\/(-18) - (-3 - -1). Let w = j - f. Which is the closest to 2\/3? (a) 3\/5 (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1338 - -1345. Let a(s) be the third derivative of -s**4\/12 - s**2. Let u(h) = 5*h + 1. Give p*a(o) + 3*u(o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5, 2*r - 2*n + 4*n = 8. Is r\/((-9)\/93)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 3*j**3 + 2*j**3 + (1 - 2*j - 1)*(4*j**2 - 4*j**2 - 2*j**2) - 2*j**3 - j**3 + 6*j**3 + 2*j**3 + j**2 - j**2 - 2*j**3 - 4 + 4.\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/71 - -188\/1633. Let u = -14 + 10. Let v be 3 + (u - 4\/(-4)). Is v at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4408330 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103 - 130*j - 430*j - 20*j - 157*j - 687 wrt j.\nAnswer: -737","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 17, n: 1}. Give prob of picking 2 z and 1 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**6\/24 + 5*y**5\/16 - 125*y**4\/48 - 25*y**3\/24 + 15*y**2 + 19*y + 12. Suppose m(c) = 0. What is c?\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -598 + 311*o + 1193 - 595 in the form k*o + w and give k.\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1193 is divided by 294?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 945?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65376661110434143\/78584 - -831933486605. Let g = d - -1\/9823. What is the common denominator of g and (4 + 56\/(-12))*(8 - 6205\/620)?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 101*q + 704. Calculate w(42).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 765049134?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -88 + 72 + -4 + (3 - 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100115215512 - -2?\nAnswer: 100115215514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2768318 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/11*(-3)\/25*(-165)\/90\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000213639 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-361*g + 361*g - 27*g**2 - 2)*(12 + 15 - 10 + 25).\nAnswer: -1134*g**2 - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, k: 1, c: 2, i: 5, b: 1, s: 1}. What is prob of sequence gbc?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 - 119.00000038. What is y rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1127562 divided by 4?\nAnswer: 563781\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48664, 97328, 145992, 194656, 243320, 291984?\n\"Answer: 48664*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, u: 13, y: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/13 + -31\/52. Let c = 41737\/23 - 1815. Let u = c + 423\/92. What is the common denominator of u and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l - 17*l = -2*l + 2588 + 340 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 5. Let z = 0.8 - b. Put 4, 2\/11, z in descending order.\nAnswer: 4, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 3) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11970\/17 - 704. Factor 0*f**3 + 0*f - 2\/17*f**5 - q*f**4 + 0*f**2 + 0.\nAnswer: -2*f**4*(f + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*m**3*n**3 + 3*m**3 + m**2 + 80*m*n**3 + 26*m + 2*n**3 wrt m?\nAnswer: -42*m*n**3 + 18*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -4 (c) 53 (d) -187 (e) -4\/9 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 (base 11) in base 8?\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -277?\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h. Let b(i) = -3*i + 2*i**2 - 4*i**2 - 2*i**2 + 1. Let y(p) = 4*b(p) + 18*u(p). Factor y(x).\nAnswer: 2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*h + 4 - 7 = 0, -3*d + 3*h = -21. Let r = 334\/3 - 112. Sort 0.4, -2, d, r.\nAnswer: -2, r, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**3 - v**2\/2 - v + 9. Let j be o(-2). Suppose 30 = n + 2*z, j = 2*n - 3*z - 68. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -19*m**2 - 6*m - 63. Let f(k) = 36*k**2 + 10*k + 127. Let n(u) = -3*f(u) - 5*l(u). Find the first derivative of n(t) wrt t.\nAnswer: -26*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166671\/12285*-7 - (-8 + 5220\/650)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 71928 divided by -6\nAnswer: -11988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-one sixths of a century?\nAnswer: 8200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4193393 bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 194188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + j**2 - 6*j**2)*(-35506*j + 68543*j - 39402*j).\nAnswer: 12730*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2. Let c(v) = -7*v**2 + 9*v. Give c(q(a)).\nAnswer: -28*a**4 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3 + 1)*(-4 + 6 - 3) + 4 - 1 - 2 + (5 - 3 - 1)*(0 - 1 + 0))*(-20*l + 14*l + 832272 - 828987) to the form p + a*l and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*(s**1*s*s)\/s)\/s)**33)**(2\/3)\/(((s\/(s*s*s**(-3\/2)*s))\/((s**(-1\/4)\/s)\/s))\/((s\/(s*(s*s**0)\/s*s))\/s**(1\/3))) assuming s is positive.\nAnswer: s**(755\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*r - 30*r + 11*r)*(-8*r**2 - r**3 + 0*r**2 - 21*r**2).\nAnswer: 34*r**4 + 986*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyzyyqcqyqcyyfp. Give prob of picking 2 q and 1 z.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 17 + a - 5.\nAnswer: a + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - 2*s)*(-6 + 1 - 1 + (4 + 0 - 3)*(0 + 6 + 1)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*z. What is the remainder when 22 + (3 + 1 - z) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2669 - 2663. Are -38 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 - -104. Let f be r\/(-7) - (-14)\/(-49). Suppose -c + f = 3. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 574296.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 11*b**2 - 11*b + 13. Let n be r(-12). Suppose -3*h - n = -40. Calculate the greatest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67653671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*((-7)\/(-8) - 1). Suppose -5*n + 264 = -3*h, 0*n + n - 5*h - 44 = 0. Let c = n - 323\/6. What is the second smallest value in c, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvpnnptnnvnvononv. What is prob of picking 1 t and 1 v?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 4*h + 28 = 18*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {f: 2, j: 1, l: 1, k: 1, y: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*k = 2*k - 26, 3*f = k + 29. Let z(o) = -2 - 9*o + 9*o**2 + o**3 + f*o + 5. Let j be z(-9). Solve -a + j*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5277689502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 828 and 3096.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3144032 (base 5) to base 3.\nAnswer: 2200201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-6) + (-56)\/(-21). Suppose 3*r - 9 = z*v, -5*v - 6 = 3*r - 3*v. Put 2, r, 0.03 in ascending order.\nAnswer: r, 0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j. Let k(v) = 480*v - 7. Let z(h) = -701*h + 11. Let d(w) = 8*k(w) + 5*z(w). Calculate l(d(r)).\nAnswer: -1005*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 38\/9, 31, -3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -544, 4, -1\/2, -7\/5, 2, -1\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 17999803 = 24150197. Round c to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 6*x**2 - 8*x. Let i be c(-7). Let a = i + -4. Let u(t) = 6*t + 5. Let s(n) = -5*n - 4. What is a*u(j) + 4*s(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = 5*k - 10*k. Let n(d) be the first derivative of k*d + 0*d**3 + 1 - 1\/2*d**4 + 1\/2*d**2. Find the second derivative of n(a) wrt a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/22 - (-4 - 13537281\/(-858)). Let s = 15778 + b. Calculate the common denominator of 4\/48*(4 - -1) and s.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 8. Let q be u(7). Let g be 8\/(-45) + 4\/10. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1 + (sqrt(44) - sqrt(11)) + sqrt(11) + sqrt(11) + -1 + 2)**2 - (5 + -6*(sqrt(99) + 2))).\nAnswer: -636 - 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13518467399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 5154290?\nAnswer: 2061716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 43.\nAnswer: 7\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 64\/77 + (-2)\/7. Suppose 15*x = 12*x + 6. What is the second smallest value in t, x, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 63 + 64 = n, 2*z + 210 = 26*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -5.996. Let d = -0.077 + j. Let q = -0.034 - d. What is q rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/14462410 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6*x**2 + 117*x - 117*x. Calculate the remainder when 9 is divided by c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419730.\nAnswer: 2, 3, 5, 17, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 0*d**2 + 2*d**2)*(-7 + 7 + 17*d + (0*d - 2*d + 7*d)*(2 - 4 + 0) + (-1 + 14 + 0)*(2*d + d - 5*d)).\nAnswer: -38*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2119114 is divided by 339.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 7*p - 31670. Let h = p - 2574. What is h rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 5, 4, -2 in decreasing order.\nAnswer: 5, 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-10 - (-33 - -9))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkz when four letters picked without replacement from zzzzzkzzkzzk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)*s*s\/(s*s**(-1\/4)))**(-2\/37) assuming s is positive.\nAnswer: s**(-7\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8562, -8557, -8538, -8499, -8434, -8337, -8202, -8023?\nAnswer: -7794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -2\/73 (c) -29 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v**2 + 10*v + 7. Let u = 11 + -18. What is b(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.7 - -4.2. What is the closest to 1 in 3\/4, l, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376560716.\nAnswer: 2, 7, 13448597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*u**3 - 29*u**3 + 60*u**3 - 107*u**2.\nAnswer: u**3 - 107*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.343631ns in minutes?\nAnswer: 0.00000000002239385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b - 35371*b**2 + 3*b + 35375*b**2. Let t(f) be the first derivative of 0*f - 1\/2*f**2 + 1. What is x(t(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 944 - 811. Calculate the remainder when 928 is divided by v.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41833\/18 - -2329. Find the common denominator of 67\/18 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -71 + 12 - (-56 + 12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 1450, 2960, 5074, 7792?\nAnswer: 11114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u - 2*u + 6*u + 13 - u**3 + 9*u**2. Let n be s(10). Find the common denominator of (-3)\/(-6) + n\/16 and -65\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -829c + -2c0?\nAnswer: -858c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 49.16897. What is h rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - aa?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 4 = 2*d, 258*d - 30 = 259*d - 8*a + 12*a for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31701 - -0.5.\nAnswer: 31701.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*k**2 - k*t - 1137*t with respect to k.\nAnswer: -182*k - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-27)*(-468)\/(-1014)*1\/2*27\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154185.\nAnswer: 3, 5, 19, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*w = -11 - 6, w = -2*t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4 + 371*t**3 - 35997*t**2 + 286885*t + 720742 = 0. What is t?\nAnswer: -2, 11, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyg when three letters picked without replacement from ehhhemshsggyggmhgesh?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8160100 and 105950.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/320 and -85\/573856.\nAnswer: 5738560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31 + 2000\/(11 - 36)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3\/p**10 assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.1. Let f = 77309 - 231929\/3. What is the nearest to 0.3 in f, -2\/19, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11, -0.2, 1\/4, 1\/9, 7\/37?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**2 + 10141*v - 40463. Calculate m(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62.878 - -63. Let a = -99.122 + m. Let n = -99.086 - a. Round n to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/2*(-286)\/3 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -69*m - 24. Suppose -2*j = 6 - 0, -5*f - j - 13 = 0. Let s be z(f). Calculate the greatest common factor of 36 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqnddgd. Give prob of sequence gdy.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 18 = 3*z - z, 0 = 2*z - 2*a. Suppose -3*q + 4*q = u + 148001, 0 = -3*q + z. Round u to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-5 - (4 + -5 + -2)) - (65 + -11).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 0.8, 3, 5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 23*b - 67. Let d be o(26). Let t be d\/44 + 15\/4. Determine z, given that 0*z**3 + 1\/4*z**t + 0*z + 0 - 1\/4*z**5 + 0*z**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.3 + 0.3. Let o = i - -10. Let f = 18 + o. Which is the nearest to 0.1? (a) -4 (b) f (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 13) to base 16.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17186 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1666*f = -15749 + 55733 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 1) + 173*-1. Let i = k - -186. What is the highest common divisor of i and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 48, -12.\nAnswer: -12, -5, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + k - 87 + 104 + (-k - 2*k + 0*k)*(1 - 3 + 1) + k - 4 + 4.\nAnswer: 5*k + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 13 - (-185 + 180).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 14. Let z be t(9). Suppose -z*w + 105 = -15. Calculate the common denominator of 20\/11 and -3 + (-4)\/(w\/(-267)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/30*(-6)\/((-108)\/(-981)))\/((-4)\/(-4))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2414149956*x**3 - 84495002790*x**2 + 34393775*x\/4 - 875\/4 = 0.\nAnswer: -35, 5\/98268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19812 = -76*w + 88*w. What is the greatest common factor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.46 - -22.46. What is the nearest to 1 in -2\/7, 30, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5336\/(-87))\/46 - (1 + 43\/(-21)). Which is bigger: n or -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 9:31 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 148. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 14) to base 4\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 = s. Suppose -18 + s = -3*z. Suppose -2*y + 362 = 4*a, 0*y - z*y + 684 = -2*a. Round y to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5753420 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594 + 376 + 50*a**2 + 371 - 526 + 375.\nAnswer: 50*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -624 divided by 15\nAnswer: -208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s. Let u be v(12). Let t be (u\/(-50))\/((-2)\/5). Let h be (890\/t)\/(-2 + 240002\/120000). Round h to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/sqrt(2)*-4)\/(((sqrt(70) + sqrt(70) + sqrt(70) + (sqrt(70) - 1*sqrt(70)) - sqrt(70)) + sqrt(70) - sqrt(70))\/sqrt(10) + sqrt(7)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5*p - 37. Determine a(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + k**2 + 0 + 1.\nAnswer: k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40416 and 34848?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j - 9 = 105 + 82. Sort -10, j, 2 in decreasing order.\nAnswer: 2, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 10*b + 4. Let p = 10 - 5. What is the remainder when 13 is divided by l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (-5)\/((-15)\/12). Suppose -5*o + 3*k + 297 = h, 5*o - 303 = 6*k - 9*k. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-608)\/64 + 1166\/132\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/7)\/(5\/(-15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1855 and -5?\nAnswer: -9275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/6 + -1)*(0 - -240). What is the third derivative of -4*q**5 - 160 + 3*q**3 + w + 53*q**2 wrt q?\nAnswer: -240*q**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 9*d - 10. Determine h(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -25 - 2*y - 25 + 73 - 21. Let t be o(1). What is the derivative of -5*n**3 + 24 + 14*n**2 - 14*n**2 + t*n**3 wrt n?\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1846 = 10*i - 714. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4444740 to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**5\/20 - b**4 - 3*b**3 - 28*b**2 - 3*b. Let l be q(-7). Solve -j + 6*j + 15 = l*h, 3*h + 9 = -3*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrph when four letters picked without replacement from {j: 1, h: 1, e: 1, r: 3, w: 6, p: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*j - 2 - 2, k - 19 = 4*j. Calculate the smallest common multiple of 11 and -1*((-1)\/3)\/((-2)\/j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137 and 14933.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.4 (b) 0.5 (c) -0.002 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 4, 141*z - 43 + 310 = -20*h + 23*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssbbmshmhshswbbhblbm. Give prob of picking 1 h and 2 s.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5043931, 5044294, 5044891, 5045716, 5046763, 5048026, 5049499?\n\"Answer: -r**3 + 123*r**2 + r + 5043808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -60\/553 in 64, 5, 78?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*g - 7 = 0, 41 = -5*i - 3*g - 16. Suppose 2*q + f = 1, 0 = -5*q - 0*q + f + 13. Let r = q - i. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-42)\/35*(-35)\/14. Let q(f) = -9*f - 5. Let g(i) = 18*i + 9. Determine s*g(x) + 5*q(x).\nAnswer: 9*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1\/4 (c) 94 (d) -4 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -12*h**3 - 12*h**2 + h + 6. Let u(k) = -k**3 - 2*k**2 + 1. Let s(o) = n(o) - 6*u(o). Calculate s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25101 - -35332. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3698\/11 - 337. Let h = r - -51\/22. Is h >= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzugzra. Give prob of picking 1 z and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20478518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1 - 4 + 3 + i + 17*i**3. Let b be o(1). Suppose 0*r - 2*r + b = 0. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 7*b = 48. Calculate the greatest common factor of b and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**3\/(x*x\/(x\/x**8))*x**0*x\/x**(-8\/5)*x assuming x is positive.\nAnswer: x**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let m(q) be the third derivative of 0 + 0*q**4 + 0*q**3 + 0*q - 1\/30*q**5 + 4*q**2. Give a(m(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196894 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 877*9.4\nAnswer: 8243.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.27 + 24.17. Let d = 1\/2732 + 19067\/155724. Let y = d - -4\/19. Put k, y, -2 in ascending order.\nAnswer: -2, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 1:21 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 190215930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1237293, 1237298, 1237303, 1237308, 1237313, 1237318?\n\"Answer: 5*m + 1237288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43\/6 + -11. Let w = 49\/12 + f. Which is the nearest to 0? (a) 0 (b) w (c) 0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -75. Suppose 0 = -13*s + 11*s + m. Calculate the remainder when (-31 + 60)\/(1\/s) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 742 and 424.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.2 - 44. Which is the closest to 0.1? (a) -0.2 (b) m (c) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.855904 times -0.04?\nAnswer: 0.03423616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2925 - 5851 + 5*l**2 + 140*l + 2926 = 0. Calculate l.\nAnswer: -28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v = 256 - 303 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-15)*(-18)\/(-6) - 1 - -5. Let i(y) be the first derivative of -10 + f*y + 0*y**2 - 2\/3*y**3. Let c(o) = -14*o**2. What is c(i(a))?\nAnswer: -56*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -20*i. Let s(n) = 5*n**2. Give s(j(k)).\nAnswer: 2000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1800*f - 546 wrt f?\nAnswer: 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1230407, 2460819, 3691233, 4921649, 6152067?\n\"Answer: s**2 + 1230409*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbwx when four letters picked without replacement from ibwiibixxx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -375 (base 8) to base 12\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4412535 (base 7) to base 16.\nAnswer: -841fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -0.144. What is f rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2629 - 27*o**3 - 2629 - 46*o**3.\nAnswer: -73*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46399807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 36408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4193994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.3, 25\/8, 0.4, -17, 2\/11 in descending order.\nAnswer: 7, 25\/8, 0.4, 0.3, 2\/11, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + ((-1*sqrt(17) + -3 - sqrt(17)) + (sqrt(17) - (0 + sqrt(68))))**2).\nAnswer: -800 - 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/(310\/36))\/(465\/(-14725))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 4*u + 81, 4*k + 3766 = -5*u + 3675 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 27*x + 1 + 5.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x - 17. Let u(m) = -7 + 13*m + m**2 - 5*m**2 + 3*m**2. What is the units digit of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -913, -5, 8, 9, 3 in descending order.\nAnswer: 9, 8, 3, -5, -913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249128 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7077433 or 25?\nAnswer: 7077433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 420, 640?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -1 + 5. Suppose -4*n = 5*b - 3*b, -2*n = 5*b - 24. Suppose q - f - b = 0. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1527, -3055, -4583, -6111?\nAnswer: -7639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 8*y**2 + 6*y - 5. Let i be t(-7). Let l = i + 1. Let o(k) = -l*k + 3*k - k**2. Let f(q) = -4*q. What is f(o(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2553*d**3 + d**2 + 4308*d.\nAnswer: 15318*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 104?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, q: 2, j: 1, c: 1, y: 1, p: 3}. What is prob of sequence qqj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -23*t. Let w(u) = -401*u**2. Determine q(w(x)).\nAnswer: 9223*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 less than -0.024?\nAnswer: -0.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10899846289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -3*r**4\/2 + 189*r. Let d(x) = -5*x + 5*x - x**2. What is d(f(g))?\nAnswer: -324*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 66, 27, -24, -87, -162, -249?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 25 = 2*f. Solve 19 = 3*s - f*m, 4*m = s + 2*s - 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 9, -29, -87, -159?\n\"Answer: s**3 - 19*s**2 + 38*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9*i - 5*i = 29862, -11*p - 2*i = 109444. Round p to the nearest 100.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329552339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -4, -8, 5 in increasing order.\nAnswer: -8, -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -9. Suppose 4*l = -z*l - 4*l. Solve l*k - k = 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2372341 to the power of 1\/2, to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(4) - sqrt(96)\/sqrt(6)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15146*j**4*z**2 + 24*j**4*z - 1248607*z**2 wrt j?\nAnswer: 60584*j**3*z**2 + 96*j**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 2*k**3\/3 + 20*k**2 + 5*k - 45. Let g be j(-20). Solve -g = 5*r - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50336272*v**3 - 5349516*v**2 wrt v?\nAnswer: -302017632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54592 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 665576629626 - 665576630256.000000881. Let j = -630 - l. Round j to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154 - -159. Let m(q) = q**2 - 6*q - 1. Let b be m(6). Sort 0, b, f in descending order.\nAnswer: f, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + -138)\/((-4)\/(16\/2)).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**3 - y - 1. Suppose 5*m + 25 = 35. Suppose -m*c = -3*c - 1. Determine q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t + 64 - 92. Calculate the smallest common multiple of 532 and t.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -634, -1177, -1734, -2311, -2914, -3549?\n\"Answer: -b**3 - b**2 - 533*b - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-3*(sqrt(240) - sqrt(240)*3))\/(sqrt(972)*1))**2 + -1.\nAnswer: -40*sqrt(5)\/3 + 296\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 82.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**5 - 14*v**4 + 257*v**2 - 4. Let k(c) = 13*c**5 - 28*c**4 + 514*c**2 - 9. Let p(i) = 9*d(i) - 4*k(i). Find the third derivative of p(m) wrt m.\nAnswer: 120*m**2 - 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhvhhhhhhhhhh. Give prob of sequence hhh.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*w = -274*w + 1650. What is the remainder when 653 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-174)\/(-8) + (-24)\/32. Let j = k + 8. Let p = -24 + j. Solve -p*o = 11 + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 65, -0.4, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 82 + 5*l**2)*(2*l - 2*l + 6*l).\nAnswer: 30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g. Let k(o) = -440*o. What is 2*k(b) + 99*s(b)?\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 1)\/((-3)\/(-11)). Let i = n - -19\/6. Sort i, 4, 5 in ascending order.\nAnswer: i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169258 is divided by 186.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85650793*y + 99756488.\nAnswer: -85650793","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -374*k**2 + 2628*k - 68. Let l be y(7). Factor -5*u + 1\/10*u**4 + 9\/2*u**l - 6\/5*u**3 + 0.\nAnswer: u*(u - 5)**2*(u - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:11 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29\/62? (a) -0.2 (b) -2\/5 (c) -2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-272)\/(-32))\/((-18768)\/(-192))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -288*f**4\/5 + 25057*f**3\/5 - 118167*f**2\/5 + 82*f = 0.\nAnswer: 0, 1\/288, 5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4945582.\nAnswer: 2, 2472791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1216, -2433, -3650, -4867, -6084, -7301?\n\"Answer: -1217*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 293323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 4*d**3\/3 - 13*d - 10. What is the first derivative of r(i) wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10024894 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -116 (c) 2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*t = 393*t + 2520 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14*m - 114. Does 9 divide a(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t. Let q(g) = -3*g - 3*g + 7*g. Let c(l) = i(l) - 10*q(l). Let y(v) = 3*v**2 + 4*v**2 + 5*v**2 - 4*v**2. What is y(c(z))?\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k*v**3 - 4*k*v**2 + 43*k - 8*v**3 - 131*v**2 - v - 26 wrt v.\nAnswer: -12*k*v - 8*k - 48*v - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, 1 i, and 1 k when four letters picked without replacement from hvckccvivhvv.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l - 3 + 4*l**2 + 4 - 5*l**2. Suppose 8*h = 5*h - 36. Let n be -2*(-3)\/(-18)*h. What is u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(54\/(-44)) + (-7)\/7 + -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-38 - (-33 + 60)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let j(o) = 6104*o**2 + 109*o - 109. Let v(l) = -113*l**2 - 2*l + 2. Let a(n) = 2*j(n) + 109*v(n). Give y(a(s)).\nAnswer: -218*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030493.\nAnswer: 1030493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6\/599 - 1240\/4193. What is the closest to y in -0.4, -0.05, 0, 0.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71958 divided by 402\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9 + x + 3 + 2. Let a be z(-11). Are 2 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 30*q + 3731 - 3556, -7*j = 35 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 - -46506082.75541\nAnswer: 46506084.05541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c. Let g(k) = -71*k + 1071. Let u be g(15). Let r(f) = 42*f. Calculate u*r(j) + 35*p(j).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6563.977 times 5?\nAnswer: -32819.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -760.97 + 761. What is the biggest value in c, -2\/3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 31*b + u = -17, -b - u + 15 = 0. Let j(s) = -s**3 + 11*s**2 - 10*s + 8. Let p be j(6). What is the highest common divisor of b and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u - 575 = 2*h, 4*h + 5*u + 1135 = 0. Let c be ((-8)\/(-28))\/(-5*4\/h). Solve -c*n = -8 - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((1 - -1) + 8)\/(-54 + 55) and -2 + (0 + 4)*2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*y + 14 = y, 2*y + 6 = q. Let f be (1\/q)\/(2\/12). Factor -f*g**2 - 3*g + 1 - g**3 - 2 + 0*g**3.\nAnswer: -(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 215 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, 7601, 5, 2, 0.\nAnswer: -21, 0, 2, 4, 5, 7601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 100402.5 kilometers?\nAnswer: 100402500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 243, 1556, 4815, 10992, 21059?\n\"Answer: 162*f**3 + f**2 + 176*f - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 5*v - 5. Give m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*o**6*x - o**6 + 33*o**2*x + 2*x wrt o?\nAnswer: -3120*o**3*x - 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one quarters of a meter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-162) + (-50)\/18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 8) to base 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23637939, -94551757, -212741453, -378207027, -590948479?\nAnswer: -850965809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:58 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12675339?\nAnswer: 3, 469457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7393.\nAnswer: 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1020)\/(-3162))\/((-180)\/18).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1947289 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-72)*60\/32)\/((-45)\/(-18))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2) + -42 + 39 + -16.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 - -45. Sort y, -1, 3\/2, 9 in ascending order.\nAnswer: y, -1, 3\/2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539644?\nAnswer: 2, 37, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.33 + 15.67. Let h = z - 15.999931. Round h to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11490*z**3 + 2537*z**2 + 2*z?\nAnswer: -68940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 13) to base 3\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 514*m - 3345?\nAnswer: 514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.054*288\nAnswer: 15.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, z: 2, t: 2, j: 2}. What is prob of picking 1 r and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**1))**(-38)\/((o\/(o*o**(2\/3)\/o*o))\/o*o*o*o**(2\/11)) assuming o is positive.\nAnswer: o**(-1271\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 8 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -167431850 divided by 5\nAnswer: -33486370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*k = 970, 5*f + 0*k - 969 = 4*k. Suppose -5*j = 6*s - 2*s - 149, 5*s + 4*j - f = 0. Suppose 2*r = r + s. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/24*8 - 0. Solve -2 = p - j, -3*m + 4*p - 31 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27075*a**2 + 52*a + 22 wrt a?\nAnswer: 54150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 5*j + 4. Let g be r(-6). Let l = g + -583\/7. Is 0.1 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 0*g - 3 + 2*g + g. Let m be u(2). Let w = 9 + -12. Which is the smallest value? (a) m (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 + 2*p + 52. Let l be k(8). Let c = 3 - -2. What is the second biggest value in l, -5, c, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/120 + q**5\/30 + q**4\/6 + q**2. Let t be d(3). Does 6 divide 12\/((-1)\/(-2)*t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3875 + -2305. What are the prime factors of j?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1115101 (base 7) to base 11\nAnswer: -95170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + (-10 - -22))*(-5)\/3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 10, 20, 38, 70, 122?\n\"Answer: b**3 - 2*b**2 + 9*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2546 is divided by 1268?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/16 and -49\/50598?\nAnswer: 404784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2962187 times -43\nAnswer: 127374041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2. Let o(r) = -2*r - 2. Let q be o(-2). Let h(y) = 3 + 0 - 3 - q*y. Determine h(k(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -272 + 278. Let y be 4680\/(-16)*(-2000)\/r. What is y rounded to the nearest 1000?\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -0.8, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + (-30580)\/(-50) - (6\/15)\/(-1) is divided by 143.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 13. Suppose 2*s - 85 = 5*y, -2*s = 4*y + s + 45. Let n be k(y). Suppose n*l + 41 = 93. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1243*w. Let m(r) = 1864*r. Calculate -7*b(t) - 5*m(t).\nAnswer: -619*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1620 and 59\/378.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(325)*-5)**2 + ((sqrt(3328)*2 + sqrt(3328))\/(sqrt(1200)\/sqrt(12)))**2.\nAnswer: -300*sqrt(13) + 820213\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72793 and 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-6)\/3 + 2. What are the prime factors of (-29)\/(-3) + p\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563178 divided by 781589?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 189, -4, 5, 12 in ascending order.\nAnswer: -4, 0, 3, 5, 12, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/(-621))\/(250\/(-675)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1248 by -3.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 4. Suppose j = -3 + 9. Let a(v) = -2*v - 7. Give j*a(c) - 11*n(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-56)\/250)\/7)\/(106\/(-265))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 7. Let n be k(7). Let t be 2*(n + 5\/2). Suppose 5*x = 3*x. Solve -m + 11 = 3*j - t*m, 4*j - m + 7 = x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(7\/2 - 2). Let t be 2 + (-11 - (336\/12)\/(-2)). What is u in 2\/3*u**3 + f*u**4 + 0 - 2\/3*u**2 + 0*u - 2\/3*u**t = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 58. Let o = m + -36. Suppose o*j = 5*j - 3, -2*j - 118 = -5*y. What is the highest common divisor of 36 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - s - 2. Let v be z(-2). Let b be -1 - 1\/(1\/v). Let l = -8 + b. What is the remainder when 7 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -6*k + k + 98, 4*f + k = 106. Let h be 45\/f + -2*1. Let b(a) = a**2 - 6*a + 5. Let t be b(6). What is the third biggest value in h, -5, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1383, 0.4, 5, -3, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78607415.\nAnswer: 5, 67, 461, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031402273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 28 = 2*g. Let j be g\/(-35) - 3104\/(-14). Suppose -9*y + j = -3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddeeddd. What is prob of sequence dd?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = -5*m, m - 5*m - 24 = -4*l. Suppose 54 = -2*n + 3*n + 2*f, 158 = 3*n + 2*f. Let j = n - 46. Calculate the remainder when j is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6664.184 hours in seconds?\nAnswer: 23991062.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 5 = -5*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 238861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/72 + -1198*(-18)\/432.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 + 4 = 5*l, 0 = 2*l + 10. Let a = k + -23. What is the lowest common multiple of 9 and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 18. Let o be s(7). Suppose -3*h + 826 = o*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + (sqrt(448) - (sqrt(448) + -2)) + (sqrt(7) - sqrt(175)*-1)**2.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 + 20230*n - 11336640 = 0. What is n?\nAnswer: 672, 3374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**3 - a**3 - 5*a**3 + 0*a**3 - 2*a**3 + 3*a**3 + (0*a**2 - 2*a**2 + 0*a**2)*(6 - 6 - 2*a) - 14*a**3 + 4*a**3 - 5*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 + 2102 = -5*i. Calculate the common denominator of (-5)\/25 + i\/130 and -93\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -18*w + g - 1908, 5*w = -2*g + 9531. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -20102021000100002?\nAnswer: -20102021000100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4880336798 + 4880336798 + 5*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -312*o - 27123. Suppose 2*l - 3 = 3*l. What is the remainder when t(-87) is divided by 1\/(0 + -1)*l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = v + v. Let j = 15 + v. Solve -28 = -5*a + 2*b, -5*b - j = 1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -795 + 795.3. Which is the closest to o? (a) 0 (b) -0.03 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*f - 71 + 671 + 5175 = -18*f for f.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 340, 56, -11.1 in ascending order.\nAnswer: -11.1, 56, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1668821 or -316?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c2c1c (base 13) in base 7?\nAnswer: -30621636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - h**2 + h - 1. Let t(p) = -3*p**3 + 3*p**2 + 9*p. Let a(n) = -2*d(n) + t(n). Let q be a(6). Let g = -1 + q. Solve -5*i = -3 - g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4021*y**3 + 10744*y**2 - 374229854*y wrt y?\nAnswer: -24126*y + 21488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 5\/(15\/(-6)). Find the second derivative of u - 2 - 9*u + 55*u**3 + 10*u + w*u wrt u.\nAnswer: 330*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -305225 (base 6) to base 11.\nAnswer: -17450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -3 + 0 + -2. Let i(p) = 46 - 130 + 42 - 12*p + 48. Is i(r) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/30 + 7*z**5\/15 - 11*z**4\/6 + 10*z**3\/3 - z**2 - 33. Determine j, given that f(j) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 10:21 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 9:25 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269*s - 273*s + 64 = 0. Suppose 3*z = 193 + 191. Calculate the highest common factor of s and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -168, -162, -154?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 87 - 83 = 0. Suppose 13*g - j = -177. Let v(f) = -3*f + 12. Let z be v(8). Which is greater: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 26 + 136. Let n = -123 + 126. What is the lowest common multiple of z and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0138 take away -13536297.102?\nAnswer: 13536297.0882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1295*v - 5493. Determine j(3).\nAnswer: -1608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2*l - l + 9, -2*v + l = -2. Suppose -4*h + 3*j + 2*j - 15 = 0, -v*h + 2*j = 6. Suppose 0 = 2*b - 4 - h. Solve b*a - 9 = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3134744 greater than or equal to -3134739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 6*s**2 - 4*s + 2. Let c be w(-5). Let t(k) = k**2 - 5*k - 4. What is the tens digit of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 785301. Let g(j) = 6*j**2 - 4. Calculate w(g(y)).\nAnswer: 6*y**2 + 785297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4274092 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 - 73) + (2 + -1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224568 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 - 3 - (37 + (4 - 19) + 11).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*s - 55, 0 = 5*d - 8*d + 5*s + 35. Suppose d*x + 57 = x. Put x, -4, 1 in descending order.\nAnswer: 1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 3*r**2 - 12*r - 16. What is the remainder when 138 is divided by l(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 6 - 24. Let x be l\/(-4)*(-8)\/6. Factor -2*c**2 + 2*c - x + c**2 + c.\nAnswer: -(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -76*b**3 + 80*b**2 + 304*b - 320.\nAnswer: -4*(b - 2)*(b + 2)*(19*b - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-23))\/(3\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -0.8. Let t = -0.14 + -0.06. Let n = t - l. Which is the second biggest value? (a) 4 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20506007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l = 2*l + 308. What is the least common multiple of l and 194?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/8)\/((-33)\/(-1144)). Let j = h - -185. Let w = j - -91. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121340 + -42?\nAnswer: 121243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from {k: 4, c: 2, l: 1}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(132)*-3)\/(sqrt(12)*-5*2).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 14 - 3 - 11.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 221*l**2 - 2 - 214*l**2 + 2. Suppose w = -2*w + 702. Let x(v) = -w + 234 + 2*v - 6*v. Give x(k(u)).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9046954*j**2*n**3*y**2 + j**2*n**3 - 2*j**2*y**2 - 725*j**2*y - 4*j*n**3 + 31*j*n**2*y - 8*j*y wrt y?\nAnswer: -18093908*j**2*n**3 - 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 5*z**2 + 5*z**2 + (-5*z**3 + 12*z**3 + 12*z**3)*(16*z - 123 + 123).\nAnswer: 305*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3 + 76*c**2 + 74*c = 0?\nAnswer: -37, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -44, 69, -5, -47, 3 in increasing order.\nAnswer: -47, -44, -5, 3, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124\/165 + 5\/33. Let c be (2 - 0)*(-4 - -5). What is the smallest value in c, k, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 243*g - 1. Let p(s) = -6933*s + 1. Calculate p(j(y)).\nAnswer: -1684719*y + 6934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1320, -2621, -3920, -5217, -6512, -7805?\n\"Answer: b**2 - 1304*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.12 (b) -5\/6 (c) -8 (d) -4 (e) -4\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 >= 5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -80 (b) 2 (c) -19 (d) -11\/294 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3034 + -3035. What is the third biggest value in m, -2\/5, 2\/5, -265?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3, -5*g + 5*q + 3 = -12. Is g\/((-1)\/4*88\/(-7403)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 11*y = 10*b + 3*b - 20, 78*b + 2 = 73*b - 4*y for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -160 + 4?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.1 (c) 3 (d) -10053.12 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 - -1.8. Which is the nearest to -5\/2? (a) 5 (b) y (c) 0 (d) 24\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -3333103062?\nAnswer: -3333103052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t**2 - 71*t - 126. Determine b(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101.84 - 1.16. Let k = 108.1 + h. Let z = k - 1.1. Which is the smallest value? (a) z (b) 0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -47 + 48. Let q = 3 + -3.01. Let k = q + -0.49. What is the fourth smallest value in 0.1, -1\/11, i, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 5164*w**3 + 30872*w**2 - 41120*w.\nAnswer: 4*w*(w - 1285)*(w - 4)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 26*c - 28*c + 22, 12*c - 55 = x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129425*u + 274925*u - 119872*u.\nAnswer: 25628*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:19 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2140146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22573*w - 22582*w - 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -2\/5, -0.1, 35?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/858?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 762.338ml to litres.\nAnswer: 0.762338","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -53 divided by -53\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -4*k, 3*k - l + 1 - 3 = 0. Suppose -27 = -f + w + k*w, 0 = -2*f - 3*w + 54. 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 one quarter of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*d = 92*d - 2057 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**5\/80 + 173*x**4\/8 - 29929*x**3\/2 + 1112*x**2. Suppose n(k) = 0. Calculate k.\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79584.25 millilitres in litres?\nAnswer: 79.58425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65\/6 - 479\/42. Let x = 141 + -1267\/9. What is the closest to -0.1 in y, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooox when four letters picked without replacement from {x: 10, o: 10}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.8 (b) 1 (c) -165 (d) -0.1 (e) 1\/2 (f) -5 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 - 5*q - 7. Suppose 0 = 3*b + 2*f + 23, b + 0 = f - 1. Let g(y) = y**2 + 3*y + 3. Calculate b*g(a) - 3*h(a).\nAnswer: a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -48. Let j be (-6)\/g*136\/51. What is the second derivative of 4*w**4 - 3*w - j*w**5 + 10*w - 4*w**4 wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhqh when four letters picked without replacement from {d: 9, h: 8, q: 2}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-27 - 11) - 55?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 780 and 1020.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 - 10*o. Let q(x) = -2*x**2 - 6*x. Let k(u) = -5*q(u) + 3*s(u). Let g(w) = -18*w**2. Determine k(g(d)).\nAnswer: -648*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*m - 931 = 0, 3*m - 703 = -3*w + 263. Let b = -204 + w. What are the prime factors of b?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4*v**2 + 7*a**4*v - 4*a**3*v**2 + 11*a**2*v + a*v**2 wrt a?\nAnswer: -48*a*v**2 + 168*a*v - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 653320.\nAnswer: 2, 5, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -m - 2, -m - 184*s + 187*s + 5 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/3 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21753955?\nAnswer: 5, 19, 228989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454815 = -270*v + 3613005. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 29464914 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 19*g**2 + 26*g + 195. What is t(-10)?\nAnswer: 835","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*u**3 + 0 - 68*u - 15*u**2 = 0.\nAnswer: -4, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -20*l + 192. Determine k(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 3)*(-87*n + 16*n - 28*n) + (n - 4*n + n)*(2 + 2 - 3) to v*n + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -39. Let r(m) = -m**3 + m - 3*m + 5*m**2 + 3*m + 4. Let f be r(k). Solve f = -2*i + 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1106299?\nAnswer: 229, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 116701216 to the power of 1\/2, to the nearest integer?\nAnswer: 10803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from aafppppffaap?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78553.35577 - -79908.78102781. Let t = r - 1238.4252583. Let f = t - 117. What is f rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 4*y**2 - 9*y - 8. Let c(q) be the third derivative of q**4\/12 + 7*q**3\/2 - 18*q**2. Let k be c(-13). Is x(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.8 (b) 5 (c) -41 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/6 + -2199*(-2)\/36. What is q rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1684890012.\nAnswer: 2, 3, 13, 151, 71527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5892 = 25*i - 1442. Let t = i - -181. Solve -3*p + 2*p + 2 = 0, 0 = t*f - p + 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 7:40 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8517.6894 to the nearest integer.\nAnswer: 8518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 318*g - 1274*g + 320*g + 322*g + 318*g. Let v(n) = n**2 - n + n. Give v(p(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2623*b**5 - 2834*b**3 + 31473724*b.\nAnswer: -52460*b**3 - 17004*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.12 in 0, 2\/11, -538.37, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5*r + 46*p**4*r**2 - 2*p**2*r**2 - 45*p**2*r + r**2 wrt p?\nAnswer: 60*p**2*r + 1104*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)*-2 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 264 - 444 + p**2 - 198*p**3 - 56*p**3 + 180 in the form v*p**3 + q*p**2 + i*p + w and give v.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/36 and -85\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 13 - 76*p**3 + 79*p**3 - 4 + 5 - 11.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 84? (a) 4 (b) -10 (c) 0.4 (d) -437 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12168 - -30787. List the prime factors of x.\nAnswer: 43, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**2. Let i(c) = 13076*c**2. What is i(p(d))?\nAnswer: 52304*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4092)\/(-18))\/(3\/9). Suppose -2518 = -5*l + 3*c, 0 = 2*l + 2*c - 322 - f. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o - 26*o**2 + 26*o**2 - 2*o**3 as s + a*o**2 + u*o**3 + g*o and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 78. Let q be 3*-2*6\/(-9). Suppose z*o - 46 = -u, -q*o - 2*u + 18 + 44 = 0. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -19. Let k be (f - -18)\/(1\/2). Suppose -k = -0*c - 4*c. What is the remainder when c is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115763696 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 3)\/2 - -3. Calculate the remainder when (10\/6 - i)*-24 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76638*-0.2\nAnswer: 15327.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(5*d - 17*d - d).\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 2:32 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h = 0. Let b = h - -4. Is 4 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -743, -742, -739, -734, -727, -718, -707?\n\"Answer: h**2 - 2*h - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgk when three letters picked without replacement from ggkggkkggg.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**4 + f**3 + 2 + 111*f - 104*f + 5*f**4 in the form r*f**2 + j*f + t + g*f**4 + c*f**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g = 15. Solve 6*n = g*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4\/15 - 16*w**3\/15 - 44*w**2\/15 - 16*w\/5 - 6\/5 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 5*w - 8, 0 = 5*p + 165*w - 166*w - 34 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3476*y + 23818. Let q(z) = -435*z + 2977. Let i(m) = 3*a(m) - 25*q(m). Differentiate i(d) wrt d.\nAnswer: 447","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (8 - (-16 + 6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110754522 to the power of 1\/2, to the nearest integer?\nAnswer: 10524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 times -111755?\nAnswer: -32520705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*g - 789, 5*g = 3*b - 0*g - 462. Let z = -108 + b. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 11 = -1. Suppose x*n = -12, -3*n + 19 = -4*b - 4*n. What is the tens digit of 24\/b*-3 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 61. Let q(i) = 5*i**3 + 4*i**2 - 4*i - 3. Suppose -4*c - 20 = c. Let p(b) = 9*b**3 + 7*b**2 - 7*b - 6. Let j(m) = c*p(m) + 7*q(m). Calculate j(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -11.58\nAnswer: 23.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5\/11 - 432*h**4\/11 + 13554*h**3\/11 - 156272*h**2\/11 + 67695*h - 105336 = 0.\nAnswer: 3, 8, 11, 399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 707?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 466325.8 millilitres?\nAnswer: 466.3258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016035103 to five dps.\nAnswer: -0.01604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*sqrt(153)*-1 - sqrt(153))\/(-4*sqrt(27)\/sqrt(3)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00842 take away -5.743066?\nAnswer: 5.751486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -97*x**2. Let u(k) = -46868*k. Give h(u(i)).\nAnswer: -213071114128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 28*g - 1. Let d = -5 + 13. Let v be n(d). Suppose 5*c - v + 53 = 0. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4 = -4*r. Let j = 1 - r. Let m(q) = -q**2 + q + 7. What is the units digit of m(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-72 + 47 + 71)*(-1 + 1 + j) - j + 2*j + 0*j)*(-5 + 6 + 0 + (1 + 3 - 2)*(3 + 3 - 4) - 3 - 2 + 6) as b + w*j and give w.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) - 1476\/(-126). Solve 2*n - q = 6*n + 6, 0 = -2*n + 4*q - r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -240 - -220.4. Let z = n + 19.499. Round z to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g. Let d(t) = 48*t**2 + 86506*t - 1. What is u(d(h))?\nAnswer: 192*h**2 + 346024*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 285509*a**2*b**3*g**2 + 3*a**2*b*g - 2*a**2*b + 3*a*b**2*g - 4010*b**3 + 2*g wrt g.\nAnswer: 571018*a**2*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x + 77. What is n(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 971.26 (b) -2.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11744*n**2 + 10125*n**2 - 3363*n**2.\nAnswer: 18506*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 3*u + 1, -14 = 4*x + 2*u. Let m be -39*((-24)\/9 - x). Suppose m + 44 = 5*k. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 658 * 18.\nAnswer: 11844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*r = -33, -5*x - 7 = 5*r - 2. Solve -21 = 5*n - a, -8*n + 3*n - x*a - 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 + 20*n**2 + n - 1. Let l be h(10). Let f(w) = -l - 35*w + 1 + 8 + 33*w. Let a(x) = 2*x**2. Calculate a(f(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18b3a + -3?\nAnswer: 18b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01453 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -5 (c) -18 (d) 3\/2 (e) -14.195\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*m - 20 = -31, 0 = -h - m + 5. Find the common denominator of ((3\/h)\/(-30))\/(2\/(-12)) and -101\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)*f*f**(-5))\/((f\/f**(1\/9))\/(f*f*((f*f**(1\/3)*f)\/f)\/f)))\/(f**(-5)*((f\/(f*f**6*f*f))\/f)\/f)**(-36) assuming f is positive.\nAnswer: f**(-4892\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1168 and 31\/12.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9794*w**2 - 3039*w**2 - 2364*w**2 + 9791*w**2 to k + s*w**2 + l*w and give s.\nAnswer: 14182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 758 - 5261\/7. Let v = 238 + -247. Calculate the common denominator of u and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, w: 11, d: 3, e: 2}. What is prob of picking 3 w and 1 x?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -494*p**2\/11 - 674*p - 60\/11.\nAnswer: -2*(p + 15)*(247*p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01086726045 to seven dps.\nAnswer: -0.0108673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -896973667*k**2 + 10486017*k + 23?\nAnswer: -1793947334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*q + v + v, -3*v = -3*q + 12. Suppose 3271 + 2550 = 5*k + 3*g, k + q*g = 1171. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -q, 0 = -23086*s + 23089*s + q - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 + 6*u - 138 + 5*u**2 + 138 - 4*u**4 in the form d + g*u**4 + n*u**3 + q*u**2 + s*u and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4858519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*o**2 - 411*o + 134*o + 143*o + 126*o to l*o**2 + q + w*o and give l.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 7*n**4\/24 + 10*n**2. Let z be m(-20). What is z rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 810 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a - 1. Let k be 3\/(-2) - 28\/(-8). Suppose -d + 3 = k*d. Give p(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46\/7 - 163\/28. Let s = -902.7 - -908.7. Which is the closest to -1? (a) u (b) s (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/105 - o**6\/20 + o**5\/10 - o**4\/12 - 2*o**2. Factor h(v).\nAnswer: 2*v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/17940 and 107\/690.\nAnswer: 17940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -58 + 0?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 450*n = -443*n - 235, -5*c + 4*n = 165 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6951)\/(-2)*((-11336)\/(-56) + -31). Round l to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245941.8 months to millennia.\nAnswer: 20.49515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1374, -1160 in descending order.\nAnswer: 3, -3, -1160, -1374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10279\/3270 - -12\/109. Calculate the common denominator of d and -7\/705.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 - 71 - 67 + 261*s**3 - 2*s**2.\nAnswer: 261*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4326 is divided by 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54718 and 616722.\nAnswer: 154797222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-10) + 12\/(-30) + 49. Let y = l - 44. What is the smallest common multiple of 5 and y\/5*(-5)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 + 6*t + 6. Suppose -71*s + 81*s - 650 = 0. What is the remainder when s is divided by j(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024147367 to 4 decimal places.\nAnswer: -0.0241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21461 - 249*l**2 + 21461.\nAnswer: -249*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q\/q**(-2\/3)))*q)*q)**(-50)\/(q\/(q\/q**(-3\/4)))**11)**43 assuming q is positive.\nAnswer: q**(21457\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1182)\/(-230) - (-140)\/(-100). Is 4 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 1. Let t = 161.958 + -162. Let g = -0.242 - t. Is d equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.616 - 7.7. Let p = q - -0.124. Let y = 0.3 + 4.7. Which is the second smallest value? (a) y (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) + -6*2*sqrt(360) + sqrt(360) + -4*sqrt(360)*-4)\/(sqrt(40)\/(-5*sqrt(15)\/sqrt(3))*2).\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-5) + 0)\/(3\/(-30)). Suppose 5395 = 3*n - u*w, -3*n - 3*w + 2*w + 5407 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 76*z - 92*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50799528 divided by 52.\nAnswer: -976914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + 1. Calculate the remainder when z is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.014076 - -0.2.\nAnswer: 0.185924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/2*(85\/5)\/(-51)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-2))\/(21\/(-7)). Let k be -9*8\/(-12) - j. Let r(b) = b**2 - 14. Let f be r(-4). Solve i + f*z = 8, -3*i = -k*z + 26 - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8115064?\nAnswer: 2, 967, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let a(u) = 92 - 94*u + u**2 + 51*u + 43*u. Calculate p(a(v)).\nAnswer: -v**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53656742 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o = -2005 + 1685 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 201673897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2237605139 and 102.26?\nAnswer: 2237605036.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7557*m**3 + 104*m wrt m.\nAnswer: -45342*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76720920?\nAnswer: 2, 3, 5, 47, 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2261*b**3*h**3 + 857*b**3 wrt h.\nAnswer: 6783*b**3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13321?\nAnswer: 7, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 not equal to 112\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 22\/19?\nAnswer: 22\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/l)**37*(l**(-1))**(-37) assuming l is positive.\nAnswer: l**(37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 7*s**2 - 4*s - 9. Let i be l(-6). Let x = 29 + i. Let w be 6\/x + 0\/4. Which is the third smallest value? (a) -4 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53760 and 6224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 992 and 296.\nAnswer: 36704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -7*k**4\/3 - 22*k**3\/3 + 4*k**2\/3 + 22*k\/3 + 1 = 0.\nAnswer: -3, -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3, 22, 9, 1\/32?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23545 * 983\nAnswer: 23144735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 1\/60*s**6 - 1\/10*s**5 + 0*s**2 + 0 + 5\/24*s**4 - 1\/6*s**3 - 78*s. Find z such that c(z) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*q**2 - 24*q - 110*q**2 + 11*q**3 - 37*q wrt q?\nAnswer: 66*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (598689\/42)\/129*(-4)\/(-17)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/14)*o*o*o**(-6))\/((o\/(o**(-4\/7)\/o))\/(o**(-2\/3)*o)) assuming o is positive.\nAnswer: o**(-265\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -84*n + 15. Let z(v) = -12*v + 2. Let t(s) = -2*l(s) + 15*z(s). Let h(d) be the second derivative of d**3\/3 - d + 78. Determine t(h(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368 = 63*q - 808 + 2653 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 52*t - 213 = 0. Let f(z) = 13*z**3 - z**2. Let h be f(1). Let x(q) = -q + 8. Let r be x(h). Put r, 1, t in decreasing order.\nAnswer: 1, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.496 times 1\nAnswer: 0.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*d**2 - d**2 + 1816*d**3 - 1817*d**3.\nAnswer: -d**3 - 49*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - d**2 + 2*d + 4. Let a be x(-2). Is a greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 + (3 + 776354\/8 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 2 - 13\/5. Suppose -m = m - 4. Let n be 1 + 0\/(4\/m). Is r bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -3\/1651, -2, -0.4, 15, -0.1?\nAnswer: -3\/1651","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3\/13)*u*u**(10\/7)\/u*u)\/(((u\/u**(-1\/9))\/u)\/((((u*u*u**(-7\/2))\/u)\/u)\/u)))**(25\/4) assuming u is positive.\nAnswer: u**(-57875\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8)*(2 + 0 + -2). Solve 5*a - 5*i - 20 = h, -25 + 9 = -4*a - 2*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40686572237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40237311 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79 - 32. Let f = -112 - w. Is f less than or equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 10*b**4 + b**3 - 4*b**3 + 9*b**4 to the form f*b**4 + j + w*b**2 + r*b + d*b**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 6*r + 4. Let d be l(-8). Let t be (-50)\/8 - 3\/d. Let s(w) = w**3 + 5*w**2 - 4*w + 8. Give s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*652394\nAnswer: 326197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1)\/i*i*i**(4\/11)*i*i assuming i is positive.\nAnswer: i**(48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r = -18. Let q(u) = -6*u**2 + r*u**2 + u**2. Let f(w) = -11*w**2 - 200*w + 200*w + 89*w**2. What is q(f(c))?\nAnswer: 6084*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331944.\nAnswer: 2, 3, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45808*t**2 + 98648*t**2 - 52828*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2523 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2771*g**2 + 92*g + 2774*g**2 + 3 + 2774*g**2 + 2770*g**2 - 11087*g**2.\nAnswer: 2*g**2 + 92*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*w - 88359 = 0, 3*w + 70671 = 14*y - 10*y. What is y rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 3*j, 3*u - 14 = -j + 6. Solve -u*s = -s + 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 6 - 6 + 11 - 6 + 7.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(9\/12 - (-4)\/16). Let j be 4 - (22\/231)\/(s\/(-72)). Which is the second smallest value? (a) 0.2 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + 0 + 2*sqrt(15)\/sqrt(3) - (3 + 1 + sqrt(125)))**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 720. Suppose -4*c - 4*l + o = -0*c, 222 = 5*c + 4*l. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.01. Let h = 3.99 + j. Let p = -4.1 + h. Which is the third smallest value? (a) 0 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 486*h**2 + 553*h + 16694. What is v(-242)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6426*v + 30950 + 592372 for v.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**3 - 178*y**2 - 273*y - 85. Give t(46).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 911 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1446762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.193931 kilometers?\nAnswer: 1193931000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2114099 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*m + 93, 2*m - 62 = 3*s + 2*s. Calculate the greatest common factor of 62 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**2. Let z(q) be the first derivative of -q**4\/12 + q - 5. Let c(w) be the first derivative of z(w). Calculate i(c(x)).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-16 + 1)*9\/(-15) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1162 + -670. Let i = u + -273. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = -0*m - 32. What is the common denominator of (-2)\/12 + 2584\/672 and (51\/(-12))\/(m*6\/28)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 677*n - 688*n + 165 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x**2 - 6*x - 6. Suppose -5*v + 63 = 16*v. Let u(w) = 1 + 9*w - 21*w + v*w + 10*w. What is -h(z) - 6*u(z)?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 14*j - 16. Let m be n(11). Let l be (2\/(-3))\/((-8)\/m). Suppose l*t - 252 = 4*t. Calculate the greatest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -74, -29, 34, 115, 214?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 229153987.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 4*h + 7 - 27, -20 = 5*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -38.921 (c) -4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*n + 8. Suppose r = n*z + 4, -r - 24 = 2*z + 4*r. Is 11 a factor of (-6 - -4)\/z*16*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n - 48 = 2*s, 2*s + 72 = -4*n. Let x be ((-10)\/(-4))\/((-14)\/s). Solve -4*g + 0 = z + 1, -15 = -x*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*a - 4, 2*a - a - 2 = 3*t. Let v(u) = 6*u**2 + 5*u - 3. Let c be v(2). Suppose t = n - 112 + c. What is the highest common factor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -1\/37, 0, 1 in increasing order.\nAnswer: -5, -4, -1\/37, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37\/5 of a meter?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 340*r**2 - 2267012*r + 2266668.\nAnswer: 4*(r - 711)*(r - 1)*(r + 797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-51)\/(-6) + -1)*4\/(-6). Let g be (-1 + -1)*(-4)\/(-12). Which is the closest to 23? (a) g (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) 2\/15 (c) 3 (d) -1 (e) -18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14397*c**2*r**3 + 2446*c**2*r**2 - 2*c**2*r - 2*c*r**3 - 6*c + 2*r**3 wrt r.\nAnswer: -86382*c**2 - 12*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1539) - (0 + sqrt(1539) - sqrt(1539)))*-3)**2*3 + ((sqrt(1539)*-2)**2*3 - (-2 + (sqrt(1539) - (sqrt(1539) + (sqrt(1539) - sqrt(1539)*-1))))).\nAnswer: 18*sqrt(19) + 1057295","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.97, 1\/5, 1 in descending order.\nAnswer: 3, 1, 0.97, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*s)*(-3*s**2 + 0*s**2 + 5*s**2)*(6*s + 7*s - 3*s).\nAnswer: 40*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 7*t - 11*t + u, 45 = -36*t - 32*t + 63*t - 5*u for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -291411.8 - -113356279?\nAnswer: 113064867.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {d: 8, j: 5, t: 4}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 32*o**2 - 31*o + 10. Let k be u(31). Suppose k*v - 1504 = 2*v. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 211238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*c - 2 = -0, 5*w + 2 = -2*c. Suppose -5*k - 362 + 1172 = w. Suppose 5*d = 7*d - k. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28549 less than -0.0485?\nAnswer: -28549.0485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -3639089.\nAnswer: -6\/3639089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119309096.\nAnswer: 2, 23, 383, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epm when three letters picked without replacement from {e: 3, m: 7, p: 2, c: 8}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 0) + (-4)\/22. What is the closest to 2\/9 in -3\/8, 3\/7, q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 21 = 4*d + 3, -4 = 2*d + 3*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18440786213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6510 is divided by (-2)\/6*1736\/(-16) + (-15)\/(-18)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.004015 - -667.568\nAnswer: 667.563985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2672, -5351, -8026, -10697, -13364, -16027, -18686?\n\"Answer: 2*k**2 - 2685*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k - 2*b, 5*k - 11 = -3*b + 13. Let a = k + -3. Suppose -3*z + a = 3. Is 0 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.139 * -4\nAnswer: -0.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -34, 0, -3.\nAnswer: -34, -3, -3\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 17*h + 175. Let u be a(-10). Suppose l + u*o - 15 = 0, 4*l + o - 3 = 38. Solve -l*t + 24 + 26 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 24 = -68*m + 67*m, 10*m + 5*t = 25*m - 10*m - 200 for m.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1) + (4 - ((-3 - 1) + 23))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**3 + 35535*u**2 - 925938*u = 0.\nAnswer: -11871, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 10\/6*(-276)\/(-20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ivc when three letters picked without replacement from {i: 5, c: 2, v: 8, f: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 4:21 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 - 161. Let m(y) = -y**3 + 8*y**2 - 2*y. What is the remainder when m(g) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 3824690*h\/3.\nAnswer: -h*(h + 3824690)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1348 + -0.029. Let w = h - 0.1. What is w rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -385?\nAnswer: 2\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 6925536?\nAnswer: 6925536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -116209\nAnswer: -58104.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Calculate the smallest common multiple of 3 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*d = v + 12, 0 = 3*v + 5*d - 22. Suppose k = 5*a - 0*a + 1, v = -2*k + 4*a. Is 7 a factor of 729\/18 + (-6)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 24 = 2*o - 3*q, 2*o - 11 = -3*q. Find the second derivative of -2*t**5 + 5*t**5 - o*t + 14*t + 2*t**5 wrt t.\nAnswer: 100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 28*k**2 - 2*k. Let b be y(2). Let n = 152 - b. What is the remainder when n is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 7*q + 133. Let a = q - -22. Suppose a*x - 6*x + 37 = -5*w, 5*x + 2*w - 10 = 0. Is x greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 7*s**4\/24 + 5*s**3\/2 + 54*s**2 + 2. Give u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 4*a + 3*a)*(-3*a + 3*a + 2*a) + (1 - 1 - a**2)*(-1 - 4 + 6) - 2*a + 2*a - 2*a**2 - a - a**2 + a + (4*a**2 - 4*a**2 + a**2)*(1 + 2 + 2).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1231 + 867 = -14*n. Calculate the greatest common factor of n and 1313.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4293673*j**5*u - 16*j**2*u - 3*j**2 + 13*j*u + 60*j wrt j.\nAnswer: 257620380*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z - 2*z**4 + 4*z**4 - 2*z**2 + 2*z in the form b*z**3 + v + k*z**2 + u*z + d*z**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 6*b - 6. Let o(j) = -18 + 4*j + 3*j - 3*j + 0*j. Let t be 6*(-4)\/(-16)*2. Let n be o(t). What is y(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*h*((h**(6\/7)\/h)\/h)\/h*(h\/h**4)\/(h*h*h\/(h*h**(-1\/4))))**(-25\/2) assuming h is positive.\nAnswer: h**(975\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + l - 7 = 0, 4*b - 8*b + l = -23. Suppose -3*s - 5 = 2*q, -b - 9 = -5*q - 2*s. Suppose -u + 3*a = -3, q*u - u + 4*a = 92. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/12 - 5*h**3\/6 + 7*h**2\/2 - 416*h. Give s(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -793*c + 143. Let h(z) = -22*z + 4. Give -143*h(o) + 4*s(o).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*c + 106 = -2*c, 0 = -5*c + 10. Let k be (-283)\/((-46)\/v - (-1)\/2). Let l = k - -11796. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)\/(d*d**1)*d**(5\/7)*d*d\/((d**5*d)\/d) assuming d is positive.\nAnswer: d**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2 - 2)*(439*z**2 + 11*z**2 - 82*z**2) + 2*z**3 + z**3 - 2*z**3.\nAnswer: 737*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04910740154 rounded to 4 dps?\nAnswer: 0.0491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1028 = -3*o + g, 2*o + 5*g + 981 - 273 = 0. Is -346 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**4)\/(c*c**10*c))\/(c**(-8)\/((c*c**(-2))\/c)) assuming c is positive.\nAnswer: c**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2045 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38108*c**3 + 74980*c**3 - 36848*c**3.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*l + 2*l - 4*l)*(4 + 2*l - 4) - 33*l**2 + 2*l + 9*l**2 - l - 20*l + 20*l - 12*l**2)*(3 - 1 - 3).\nAnswer: 32*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 584190193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.1 + -4.2. Let d = -103 + 102.86. Which is the nearest to u? (a) d (b) -0.3 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15416 + 13706. List the prime factors of c.\nAnswer: 2, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, -1, 4, 9 in ascending order.\nAnswer: -97, -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - (sqrt(187) + (sqrt(187) + -1*sqrt(187))*6 + sqrt(187)))\/sqrt(11) + -2 + sqrt(1700) + 3)**2.\nAnswer: 18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12008 + -252229\/21. Find the common denominator of (400\/36)\/(-5)*4\/(-12) and p.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 42*r - 1. Suppose 4*n - 3 = -2*y - 19, y - 2*n - 4 = 0. Let u(o) = o**2 + 2*o. Let z(l) = -l**2 - l. Let p(t) = y*z(t) - u(t). Calculate d(p(w)).\nAnswer: 42*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 - r**2 - 2*r**2)*(5*r + 3*r**2 - 5*r)*(-4*r + 2*r - 6*r).\nAnswer: -72*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -10 (b) 1\/6 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -5*u**4\/24 + 37*u**3\/6 + 4*u**2. What is the units digit of k(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 1, 73, -3.\nAnswer: -3, 0, 1, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -15. Let w = 10.05 - i. Which is the third smallest value? (a) -5 (b) -0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (11\/4)\/((-1)\/(-52)) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 r when three letters picked without replacement from kruikkkkuzkku.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, -29, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/4)\/(-1)*4. Suppose -7*b + 2*b = -15. Let z(y) = y**2 + 9*y. Let l be z(-9). Solve l = b*t + v*i + 15, 6*t - 3*t = -i - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 + 65*i**5 + 38*i**2 - 1 - 38*i**2 - 2*i**4 - 2 + 2 + 4*i**5 + (i**5 + 2*i**4 - 2*i**4)*(-4 + 0 + 5).\nAnswer: 70*i**5 - 2*i**4 - i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56351*i*u**3 - 3*i*u**2 + 3*i - 170*u**2 + 1 wrt u?\nAnswer: 338106*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 0 - 3\/2*p**3 - 15\/2*p**2 + 21*p = 0?\nAnswer: -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g - 2*g - 3*g)*(-2*g**2 - g**4 + 2*g**2).\nAnswer: 15*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148 - 174) + (-3 - -13 - 1 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195 - -196. Let y be 30\/(-8)*(-84)\/10. Let s = -30 + y. Which is the nearest to 0? (a) 1\/2 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(416\/13)*13?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 37 = 4*m + r, 2*m = 4*r + 26. Let z(d) = -2*d**2 + 5*d - 3. Let h be z(3). What is the remainder when 28 is divided by h*((-10)\/m)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -141b845?\nAnswer: 141b849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 2:22 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - -10) + (-3)\/(3\/5). Let w(r) = 81*r + 4. Is 37 a factor of w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86578 by -2.\nAnswer: 43289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 a when four letters picked without replacement from {a: 5, r: 5, t: 5, p: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -119 + 99. Is (2 - 16\/12)\/(y\/102345) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190 - 75. Let t = 114.6 - l. Which is the second biggest value? (a) 0 (b) -0.3 (c) t (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.46355 litres?\nAnswer: 89463.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4347\/(-138) - -34)*66\/5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 393188088 to the power of 1\/2, to the nearest integer?\nAnswer: 19829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q - 4*q**2 - 18*q + 34*q + 16 = 0. What is q?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, 1, -2 in descending order.\nAnswer: 13, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c + 4. Let k be g(-1). Let r be ((-15)\/(-10))\/(k\/14). Let l be 344\/3 - 7\/r. What is the greatest common factor of l and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6744238.\nAnswer: 2, 3372119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/5617584 and -29\/434694?\nAnswer: 73028592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 25. Find the common denominator of 16\/45 and 228\/(-360) - 6\/h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 156 (b) -3\/2 (c) -2 (d) -11.2 (e) 1\/11 (f) 0.65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 4*y - 1. Let l(d) = 5*d - 6. Calculate l(t) - q(t).\nAnswer: -t**2 + t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3775 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in 4, 41\/1859, -1, -1\/3, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2 - 6*k**2 - 17*k + 10*k + 7*k + k**3. Give t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-1 + 2\/(-4)). Suppose -w = -g*w + 105. Suppose 4*x - w = -p, -p - 3 = -x - x. Solve -6 = -x*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -169?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)\/(sqrt(8)\/sqrt(4)) - sqrt(17) - (sqrt(17) - (sqrt(816) + sqrt(51))\/sqrt(3))) + 3)**2 - -1*(-1 + sqrt(34)\/(sqrt(16)\/sqrt(8))).\nAnswer: 25*sqrt(17) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 + 266*g**2 - 5*g + 842. What is the remainder when u(133) is divided by 101?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068\/110 - 17 - 3231\/1845?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -446 + 1295. Suppose 0 = -2*v + l + 3357. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/18 + 2\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236599 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 6, 91 - 100 = -5*h + 3*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-300)\/(-1500)*5\/17\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2268204859?\nAnswer: 2268204859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = z + 3*z. Suppose 5*k = -3*y + 1031, -4*y = -z*y - k + 345. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/68379 and -95\/642.\nAnswer: 14633106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(3)*3 - sqrt(168)\/(sqrt(6) - sqrt(54)))\/(sqrt(4)*-3*6 + sqrt(28)\/sqrt(112)))**2.\nAnswer: 1372\/5041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 5*v**2. Let r(z) = -z + 1. Let i = 2 + -3. Let f(x) = 1. Let d(c) = i*f(c) + r(c). Calculate s(d(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d - 38718 = -50*d. What are the prime factors of d?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 - 104*f**2\/3 - 616*f\/9.\nAnswer: -2*f*(f + 2)*(f + 154)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8 - o - 8*o + 16 - 2 - 4837499*o**3 + o**2. Let d be s(2). What is d rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45482*d**4 + 8554*d**2 + 3.\nAnswer: -1091568*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146096 = -1171*w - 5181*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*l - 479*l + 173*l - 631*l + 255*l + 241*l.\nAnswer: -164*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**7\/840 - w**5\/40 - w**4\/24 - w**3\/2 + 8*w. Let n(h) be the second derivative of c(h). What is the tens digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 12 - (0 - -4). Find the second derivative of -16*k - 7*k**2 - 6*k**2 - 11*k**2 + d*k**2 wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111195 is divided by 4276?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12843 or -64212\/5?\nAnswer: -12843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 12*u**2 - 9*u - 30. Does 10 divide w(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -808434292.0444167 + 808434334. Let x = s - -0.0382167. Let n = x - 42. What is n rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from noophnohnhoon. What is prob of picking 1 h, 2 n, and 1 o?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*0*(-17)\/(-272). Let g(q) be the second derivative of -1\/40*q**5 - 1\/8*q**3 - 7\/48*q**4 + f + 0*q**2 + 16*q. Find x such that g(x) = 0.\nAnswer: -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -126 - -a27?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99 + -98.6. Which is the closest to 2\/5? (a) q (b) -0.7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29901468.\nAnswer: 2, 3, 61, 40849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(22)\/(sqrt(4)\/sqrt(2)) + sqrt(11) + sqrt(11)).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121751756, -243503513, -365255272, -487007033, -608758796, -730510561?\nAnswer: -852262328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1135 = 25*t - 252*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 37*v**5\/15 + 133*v**4\/24 + 148*v**2 - 1. Find the second derivative of z(c) wrt c.\nAnswer: 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 13. Which is the second biggest value? (a) 2\/7 (b) -2\/9 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 661843338 and 2314?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 26611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*b)*(90*b + 44*b - b**4 - 27*b) + b**4 - b**4 + 2*b**5.\nAnswer: -b**5 + 321*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**3 + 41187555*o - 41187555*o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*k = -4566 - 1862 + 838 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 76*v**2\/3 - 21*v - 300.\nAnswer: -(v - 75)*(v - 4)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (26 - -29) + 1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 0*l**2 + 4*l**2 - l**2. Let r be 0 + 8 - (-9 + 1). Let u(a) = 5 + 6 + 5 - r - a. What is v(u(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*v + 4835*v**4 - 50*v - 4837*v**4 - v**3 to the form f*v + o*v**3 + a*v**2 + b + p*v**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -375\/31 - -5609\/620. Let l(r) = 43*r**2 + r. Let d be l(1). What is the common denominator of d\/(-32) - 2\/1 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30 + 0)\/(2\/2). Let i be (-1 - -2)\/(2\/x). Let l = -9 - i. Let a(t) = t. Determine a(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f + 2*f**2 + (-2 + 2 + 2*f)*(-2*f + 4*f + 0*f) + f**2 - f**2 - 2*f**2 + f + f**2 - f - f**2 + f**2 + 2*f**2 + f**2 - 3*f**2 + f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**3 - 516876*j**2 - 516870*j + 1033748 = 0. Calculate j.\nAnswer: -258437, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**4\/4 + f**3\/2 - f**2 - 16*f. Let x(o) = -o**2 + o - 1. Let s(p) = -6*a(p) + 17*x(p). Determine s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.22, -2\/5, 7\/2, 122.1 in decreasing order.\nAnswer: 122.1, 7\/2, 0.22, -1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -3 (c) 3\/2 (d) 5 (e) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18238873.\nAnswer: 719, 25367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131 is divided by 394?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -13*m + 41. Let n be u(3). Solve n*g + 6 = 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.372 + 0.372001138. What is s rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149552762*o**2*w**2 - 2*o**2*w - 2*o**2 - 186090*o*w + 6*w wrt w.\nAnswer: -299105524*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 6*r**2 + 2*r + 21. Let a be d(-6). Suppose 5*b - 26 = x, -4*x = -b - 4*b + 14. Solve -b*n + 9*n = -a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1559, 6219, 13987, 24869, 38871, 55999?\nAnswer: 76259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3 + 3 + 3*r. Let o(d) = 15*d**2 - 77*d + 99. Let c(z) = 3*z**2 - 14*z + 18. Let p(v) = 33*c(v) - 6*o(v). Calculate a(p(u)).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -11530895.\nAnswer: -4\/11530895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -454242254*k**5 - 559*k**2 - 19903*k + 2?\nAnswer: -27254535240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 12 = 11*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(50) + sqrt(2) - sqrt(2))*1 - (sqrt(98) + sqrt(2) + sqrt(2))**2*5) + ((-3 + sqrt(2)*-2 + 1)*5)**2.\nAnswer: -510 + 206*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 87*h - 8*h - 239, 126*h = -w + 127*h - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 2 = 8*r. Let n(h) be the second derivative of -h**4\/12 + h**3\/2 + h**2 + 20*h. What is n(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/9 + 830761*q**2\/9 - 3323056*q\/9 + 3323060\/9.\nAnswer: (q - 2)**2*(q + 830765)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*y + 3*t + 3, 3*t + 12 = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 326 or 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 54 = 4*r. Solve r*g + 1 = -3*k + 6, -4*k + 2 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4057001 (base 8) in base 13?\nAnswer: -2b72cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8368.995 rounded to the nearest 10?\nAnswer: -8370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 10*q + 11. Let a(f) = f + 1. Let j(i) = -6*a(i) + k(i). Let s be j(5). Factor 0*g - 1\/4 - 1\/4*g**4 + 1\/2*g**2 + s*g**3.\nAnswer: -(g - 1)**2*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*p + 3*p - 17, p - 3*m = 6. Let r = -7 + p. List the prime factors of 13 - 5*r\/(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114 (base 9) to base 7.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2554.709 minutes to nanoseconds.\nAnswer: 153282540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k**2 + 5*k - 5. Is t(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m = 5*i + 29*m - 4, -4*i + 17 = 3*m. Let f(p) = p. Let r(c) = -7. Let v(j) = 3. Let w(g) = -2*r(g) - 5*v(g). Determine i*f(h) + 3*w(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -34*n**2 + n + 5. Let m(q) = -q**2 + 19*q - 11. Let g be m(19). Let b be k(g). Let s = b - -9020. What is s rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*u**4 - 228*u**4 - 126*u**4 - 20*u**4 + 383 wrt u?\nAnswer: -1420*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(2440\/1830).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 + -4 - (-45 - -50)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 2, -5, -14?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9. Suppose s*c - 8 = 8. Let m = c + -2. Which is smaller: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u - 9. Let b(h) = h**2 + 6*h - 7. Let p be b(-6). Let y be n(p). What is the second biggest value in y, 1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9722*m - 9726*m = -a, -3*a - 2*m = -5*a + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y**4 + 0)*(-412*y - 160*y - 718*y).\nAnswer: 1290*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00030342498 rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8\/l*l*l*l**(-1\/11)*(((l*l*l*l\/l**(-1))\/l)\/l*l)**(-2\/195))**(-2\/39) assuming l is positive.\nAnswer: l**(-38044\/83655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 99462 divided by -6\nAnswer: -16577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 83?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - (4 + (sqrt(11) - (3 + sqrt(11) - sqrt(11))))) + (sqrt(66)*3)\/sqrt(6) + -3*sqrt(44)\/sqrt(4)*4*3)*-2)**2.\nAnswer: 264*sqrt(11) + 47920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0. Let u = -12.04 + 0.04. Let y = u + 17. Put y, -3\/5, r in decreasing order.\nAnswer: y, r, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12626.2 + -11025. What is o rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 42, 10, -62, -180, -350, -578, -870?\n\"Answer: -i**3 - 11*i**2 + 42*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 111111001111111110 (base 2) to base 6\nAnswer: 5315222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2. Let y(q) be the second derivative of -59*q**6\/360 + 29*q**3\/3 - q + 20. Let s(n) be the second derivative of y(n). Calculate s(l(g)).\nAnswer: -236*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - j - 4. Let t be k(3). Let n = 3 + t. Suppose n*o - 11 = -3*f, -2*o - 11 = -o + 5*f. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(180)*-3))**2.\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 5*m + 5. Let t be g(5). Solve -2*n - 3*u = -10, -2*n - 15 = -t*n + 4*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 - (10 + 49) - 48?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*m + a, m - 2*m + 2*a + 1 = 0. Suppose m*k = -5*k + 8. List the prime factors of k*-4*(-29)\/4.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - -2. Let l = -5 + x. Solve 0 = -l*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*m - 4*m + 789, 5*m - w - 950 = 0. Let s = -172 + m. Solve -2*r - 29 = 3*r + 3*z, 4*r + z + s = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040420401 rounded to 6 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -3)\/(4\/(-8)). Let t be -1*(1 - c)*13. Let l = 59 - t. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 36*t**2 + 38*t + 19. Give o(-37).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 >= -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 1\/13, 1 in decreasing order.\nAnswer: 3, 1, 1\/13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b3f4 (base 16) to base 6.\nAnswer: -553140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 7*c**2 - 8*c**3 + 4 - 3.\nAnswer: -8*c**3 + 4*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 882 = -3*r. Find the common denominator of (-2681)\/r + 2\/(-7) and -67\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = b - 2*b, 0 = -4*j + 5*b + 17. Solve 0 = -j*a + a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Calculate the remainder when (a - 4)*29*1 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 76 = 4*y, 2*b - 4*y + 2*y = 82. Suppose b + 23 = 3*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25977, -25982, -25995, -26016, -26045?\n\"Answer: -4*a**2 + 7*a - 25980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 3. Determine y(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Factor 8*c - t*c**2 + 1 - 8 - 1.\nAnswer: -2*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-10))\/((-2)\/(-10)). Let i be -2 - (-19 + (-1 - -1)). Find v, given that -7*v**2 + 4 - i*v + 3*v - 11*v**z = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(-4 + 4 - f) + f + 0 + 0 - 1285 - 1282 + 1789*f + 3957*f + 2567 + 1409*f.\nAnswer: 7154*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1048 - -11544\/11. Calculate the common denominator of 19\/3 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (8 - (5 + 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -122 * -5.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20\/6*(340\/(-175) - (-41)\/287)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4112\/(-30520) - (-9)\/15. Let r = z - 4\/109. Which is the second biggest value? (a) 3 (b) -10.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 344.\nAnswer: 3784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6166 + -925?\nAnswer: -6a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23591 + 24764. Calculate the remainder when g is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30868?\nAnswer: 2, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.06789 nanograms to micrograms.\nAnswer: 0.02406789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 762 divided by -3\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079011845?\nAnswer: 5, 415802369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -349 + 593. Calculate the least common multiple of 12 and i.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 12*s**2 + 10*s - 16. Let l be w(-13). Solve 3*k - 4*v + 0*v = l, 4*v + 28 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x + 153*x + 162 = 4385. Calculate the remainder when x is divided by 14\/8*(12 + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-5) - (-241)\/5. Let h = q - -29. Let f = -46 + h. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/2711 + 122017\/29821. Calculate the common denominator of c and 32\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42877424 and 726736.\nAnswer: 42877424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3071*u**2 + 6101*u**2 - 3031*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:06 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13.19 or -0.13?\nAnswer: 13.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -19*d - 42. Suppose 0*b + 5*b - 340 = 0. Suppose t + d*t - b = 0. What is the remainder when 66 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 9. Calculate c(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375481256 to the power of 1\/4, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**6\/40 - 11*i**3\/6 + i**2\/2 + 12. Let q(f) be the second derivative of p(f). What is the first derivative of q(z) wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -11. Let w be 5 - ((-19)\/z - (-18)\/63). Let t(x) = 0*x**2 + 0*x**w - 4*x**2 - 6*x**2. Let r(m) = -3*m. Calculate r(t(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*v - 19, v - 6*x = -2*x - 18. Let h = -15 - -18. Suppose -2*a = 3*a - 30. Solve 2*c - a = v*w, 2*w + 13 = 3*c - h*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*f - 49, 0 = 4*c + 4*f - 32 - 12. Suppose v + 0 = 3*y + c, 5*v - 14 = 4*y. Let a(k) = -2*k - 9. Calculate a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h*i*n**3 - 9933*h*n**3 - h - 493*i*n + 12*i wrt n?\nAnswer: -24*h*i*n - 59598*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1344 and 392.\nAnswer: 9408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ppiiippppiipipppipp?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 54675 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 99 and 271432.\nAnswer: 271531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/(4*(-5)\/(-600)). Let k = 109 + i. What is the remainder when k is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -75.\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31144577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3133 and 16367.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -30. Suppose 6*n - j*n = -288. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 48\/11 and 0.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:06 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z. Let f(m) = m**2 + 49*m + 1. Let w(j) = 2223*j**2 + 245*j + 5. Let k(g) = 15*f(g) - 3*w(g). Give k(c(o)).\nAnswer: -26616*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/1239485 and 16\/667415.\nAnswer: 8676395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5 - 13*i**4 - 61*i**3 - 85*i**2 - 49*i - 10.\nAnswer: (i - 10)*(i + 1)**3*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l - 3*p = -25*l - 32*l + 30, -5*l - 146 = 13*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9 - 8)*(360 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 16.5245?\nAnswer: -16.5245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -121, -183, -245?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41493 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**5\/20 - b**4\/8 - 7*b**3\/6 - b**2\/2 + 2. Let c(z) be the second derivative of x(z). Is c(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 - k**2 - k + 4. What is r(2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2366194526?\nAnswer: 2, 19, 97, 727, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 22. Let v = g - 12. Let q = 14 - v. Solve 0 = -q*d - 2*p + 20, d + 4*p - 22 = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/189490 and -71\/70?\nAnswer: 189490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h + 55*h - 30 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112794 less than 111770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*f + 8*f, -4*i + 5*f + 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 43653*h + 487 - 43652*h - 3781 to a*h**2 + g*h**3 + x*h + o and give o.\nAnswer: -3294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/3*q + 8\/3 + 2\/3*q**4 + 1\/3*q**5 - 5\/3*q**3 - 10\/3*q**2 = 0. Calculate q.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0.2, 0.0287, -0.48, -5?\nAnswer: 0.0287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 22 = -2*h - 14*q, -20 = -5*q. Find the second derivative of -3*f**4 - 27*f - h*f + f**3 + 6*f - 3*f**4 wrt f.\nAnswer: -72*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488732?\nAnswer: 2, 61, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4 = -19. Let j(l) = l**3 - 6*l**2 - l - 15. Let v be j(7). Let f be (18\/v)\/(1\/6). Solve -f*t = 3*z + 19, -x*z = t + 4 + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/10)\/(6\/(-20)). Solve 5*f = 3*s - 8, 4*f - 1 + 9 = t*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**2 - 1 - 3*v**3 - 8*v**2 + 3 - 7*v**4 + 6*v**4 to the form c*v**3 + o*v**2 + z*v + a + j*v**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - a + (a + 3 - 3)*(-3 - 3 + 5) - 15316 + 7676 - 39*a + 7674.\nAnswer: -41*a + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2299 + 2295. What is the nearest to -1 in t, 3, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -1.03383.\nAnswer: -0.73383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*c + 28*c + 68. Solve 5*k + 25 = c*g - 5, -4*k = 4*g - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4620720?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2346.93*1.\nAnswer: -2346.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762*y - 1981*y + 14801 - 159185 = 3273*y for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/4290 and -79\/199413060.\nAnswer: 2592369780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/12 and 191\/690.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -39510 divided by -5\nAnswer: 7902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*p + 15*p - 38*p**3 - 73*p.\nAnswer: -38*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -5, 5, 3 in decreasing order.\nAnswer: 100, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-5)\/(30\/21). Let t = 0.584 - 2.584. Put t, 13, g in ascending order.\nAnswer: t, g, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - c + 0*c)*(-5*c + 5 - 4 - 5).\nAnswer: 10*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2478586230.\nAnswer: 2, 3, 5, 17, 179999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + 2*n**4 - 2*n**4 + 2*n + n**4 - 2*n + (-n**3 + 2*n**3 + 2*n**3)*(-2*n + 2*n + n) + 2 + 4*n**4 - 2 + 2*n**3.\nAnswer: 9*n**4 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -9. Let p = 3 + s. Is 42\/5 - p\/(-10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1390c85e + -1?\nAnswer: -1390c860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 355181, 2, -4.\nAnswer: -4, 1, 2, 355181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28666 = -6538*v + 4024 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -4 (c) 1 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9292668*g**2 + 20*g + 2. Let o be u(3). Suppose 24*h + o = 331074074. Round h to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -542\/25 (b) 5 (c) -5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 + 25*h + 87. Let z be c(-16). What is z rounded to the nearest 10?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3845578 micrometers to meters.\nAnswer: 0.0000003845578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 3*r**2 + 4*r - 6. Let o be t(3). Let x(g) = -g - 7. What is x(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 255383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 1455511?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 8*p**2 + 8*p - 1028. Give g(-13).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.23 - -0.01. Let y = 0.23 - s. Let m = y + -0.05. Which is the biggest value? (a) -0.1 (b) m (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 9*p**2 + 10*p - 18. Determine b(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 13*h**2 - 2*h + 5. Let i be s(12). Is 12 a factor of i\/2*132\/110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**3\/3 + 5*a**2\/2 + 3*a - 5. Let j be f(5). Let b be (-447)\/(-264) + (-2)\/(-11). Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 66*k**2 - 10*k - 10. Let x(t) = -22*t**2 + 3*t + 3. Give 10*x(o) + 3*z(o).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 4:00 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 16*w + 1. Let d be o(1). Let g = -211 - -330. Calculate the greatest common divisor of d and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 359*a**3 + 5*a**2 - 28*a - 2. What is the units digit of y(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 - 2*d**2 - 3*d**2 + 15*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -236*n**2. Let d = -347 + 349. Let o(c) = 12*c - 2*c**d - 12*c. Calculate o(a(b)).\nAnswer: -111392*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = -7*o + 15893. Let y = o - 606. List the prime factors of y.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 26.38266.\nAnswer: 2.638266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*q = m, 3*m - q = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - a - 34. Let s be f(0). Let u = s - -85. Calculate the remainder when u is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -198a5c?\nAnswer: -198a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 58965 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from kkvkvvpvkkc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-35) - (-1127)\/(-3430).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 2, g: 6, q: 1}. What is prob of sequence qi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 16*x. Let v(d) = 2*d**2 + 1116*d + 7. Determine u(v(a)).\nAnswer: 32*a**2 + 17856*a + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1008) + (sqrt(1008) - 2*sqrt(1008)) + -4)*1)**2 + 2*(1 + sqrt(1008) + -4 - (1*sqrt(1008) + 3))**2.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6196429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 7*r. Let g be x(6). Suppose 0 = g*f - 0*f - 12. Suppose -f*w + 25 + 77 = 4*j, 4*w - j = 231. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 17*k**2 + 4*k - 12. What is p(-9)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -5, -12, -8, -17\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 986 - 966. Let r(d) be the first derivative of -d**3\/3 - d**2 + 3*d + 1. Let m be r(-3). Solve m = -0*k + 5*k - j for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 10, -24961*v + 24963*v = b + 23 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3060)\/(-70))\/(24\/(-231)). Which is smaller: g or -420?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**4 + 1653*g**3 - 129676*g**2 - 14707788*g - 283853488 = 0.\nAnswer: -34, 157, 1564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 427648 divided by -832?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**5\/10 + y**4\/24 + y**3\/6 + y**2\/2 + 3. Let j(r) be the second derivative of b(r). Calculate j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3 + 6872*z**2 + 5868538*z - 59374580 = 0.\nAnswer: -1723, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 2 + 1106119 - (13 + -5 + -7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**2 + 13*s**2 + 4*s**2 + 124891*s**3 - 124880*s**3.\nAnswer: 11*s**3 + 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724049.\nAnswer: 19, 311, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**3 + 4*s**3 - 5*s**3 - 2*s**3 + s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 9:11 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*j - 1638 - 56*j + 112*j - 293 - j**2 to z + k*j + u*j**2 and give z.\nAnswer: -1931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 7 + (1 - (11 + -7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -130, -164, -232, -346?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 39 = 3*z, -2*z = 5*p - 216 + 235 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l - 25. Let x be d(-16). Let f = 42 - x. Suppose 9 = f*a - 3. Calculate the remainder when 10 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -228222?\nAnswer: 228221.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -830442, -830426, -830384, -830304, -830174, -829982, -829716, -829364?\nAnswer: -828914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*b - 270 + 258, p + b = -4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*j - 33*i**2 - i*j**3 + 8*i*j + 415*j**3 + j**2 + 1 with respect to i.\nAnswer: -4*i*j - 66*i - j**3 + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**3 + 8*l**2 - 20*l - 45. What is the thousands digit of m(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4241 + -4240. Let i(j) = j**3 - j**2 + 3*j - 9. Let v be i(5). Which is the third smallest value? (a) v (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26\/12 + -1 + -5 + 4\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 15. Suppose 0 = -0*o - o + j. Suppose -o*n = -5*n + 13. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**3 + 2*z**4 + 0*z**2 - 1 - z**4 + 2*z**2 + 5*z**3 + 8*z**4 to c*z**3 + y + l*z**4 + p*z + w*z**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10989218 and 958.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 6*o**2 - o + 8. Let h be r(6). Suppose -h*b = -3*l + 8, -4*l - l + 11 = -b. Let w(t) = 12*t - 2. Is 22 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7250*u + 14482*u + 2*u**2 - 7232*u. Let m(n) = -n - 91. Determine b(m(j)).\nAnswer: 2*j**2 + 364*j + 16562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24)\/80*3\/(-441). Is 0 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56511778 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzjvzzzun. Give prob of sequence zzuz.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1854726.8504 - 3.5087.\nAnswer: -1854730.3591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -20\/202310537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 9. What is a(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4.6+-4867.7\nAnswer: -4872.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131789469.\nAnswer: 3, 7, 67, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, 0, -19, -1 in increasing order.\nAnswer: -19, -4, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20535, -76148, -166845, -292632, -453515?\nAnswer: -649500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2 + 10*b + 41. Is m(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -245 and 0.042?\nAnswer: 245.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 37.3 (b) 5 (c) 1\/98 (d) 1\/3 (e) 0.04 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1247 + 7cb?\nAnswer: -85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8154586 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (42 - 51) + (-65)\/(-7). Let t = -349 + 347. Which is the nearest to t? (a) -1 (b) -0.5 (c) j (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-12\/11)\/(g*g\/(g**(3\/5)\/g)))**(10\/3))**(-31) assuming g is positive.\nAnswer: g**(3968\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((2 + 7)\/(-135))\/((-8)\/24)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence brgi when four letters picked without replacement from iirrrbbrggii?\nAnswer: 8\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 2054*x + 171128. What is p(87)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 327, 344, 369, 402?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 8. Let y be s(8). Let j = y + 29. Solve -z - 4*f - 20 = 0, -j + 0 = 3*z + f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-13 - (-17 + 16)) - -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4694014, 9388025, 14082036?\nAnswer: 18776047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*g + 134 = 0, 4*y + 77 - 241 = 3*g. List 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 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:54 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 812458793 a multiple of 789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + -433853?\nAnswer: -433861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-60) - 529\/1610) + (1278\/42 - 7)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 804549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l**2 + 5*l + 2. Let z(b) = 2*b**2 - 2*b - 3. Let i(k) = -6*k**2 + 6*k + 10. Let d(x) = 2*i(x) + 7*z(x). Give 8*d(h) + 3*p(h).\nAnswer: h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s - 21 = 4*n - 23*s, n + 14 = -2*s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*x + 62*x - 186*x + 39*x - 171*x.\nAnswer: -360*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000118899 rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10137254, 20274507, 30411760, 40549013, 50686266, 60823519?\nAnswer: 70960772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -36 + 0 + 22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/806613 and 11\/137393081.\nAnswer: 412179243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4375 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d + 5669 = 349*d - 10321 - 16306 for d.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3263 = 2*o - 3*o - 4*s, 4*o = s + 13052. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 g when four letters picked without replacement from lilglggglli?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1212 divided by -4039.\nAnswer: -1212\/4039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.2 - -42.6. Let d = -8 + c. Sort -4, d, -2 in descending order.\nAnswer: d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4, 5, 0, -221 in increasing order.\nAnswer: -221, -2, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111950 is divided by 303.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/108 and -157\/180?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/13779 + -330685\/151569. Sort -2, -0.3, 3, m, 29 in increasing order.\nAnswer: m, -2, -0.3, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*r - 2. Let m = -126 + 38. Let b = m - -94. What is the remainder when r is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -299*n**3 - 5*n**2 - 58*n - 54. Determine m(-1).\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -25. Suppose c = -3*p + 7*p + 3*d - 4, p + d = 0. What is the third derivative of 18*u**2 + 7*u**4 + 4*u**p - 52*u**2 wrt u?\nAnswer: 264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265290004 divided by -322?\nAnswer: 823882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 4:14 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 449*f - 445*f)*(3*f**2 - 6*f**2 + f**2)*(-f + f - 2*f).\nAnswer: 16*f**4 - 28*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 26 = -5*t, -2*h + 14 = h - t. Suppose -11*f + 37 = h. Solve -4*i - g + 4*g - 4 = 0, 5*i - f*g + 2 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8197488 and 188448.\nAnswer: 16394976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -246*a**6\/5 + 3*a**5\/20 + a**4\/6 - a**3\/6 + 347*a**2\/2 + 293*a. What is the third derivative of r(d) wrt d?\nAnswer: -35424*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4 + 6*l**3 + 4*l**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -0*h + 4*q + 42, h - 18 = -4*q. Suppose h = 4*a - 2*a. Suppose 4*u - 3 = -a. Sort 2, -5, u in increasing order.\nAnswer: -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6442749671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205931*x**3 + 204654*x**3 - 406660*x**3.\nAnswer: 3925*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520107668.\nAnswer: 2, 13, 48463609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*u = 92 - 217 + 1269 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 51761196*g**3 + 1 + 51761197*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 - 42 = 87*n + 422 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744*j + 1438*j - 3218 + 3218.\nAnswer: 2182*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-272)\/40)\/((8\/5)\/(-1)). Let m be (-2)\/88*(-184 - (3 - 2)). Let n = m - r. What is the smallest value in 3, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-7\/3))\/(b*b\/(b\/((b\/b**(-10))\/b))*b) assuming b is positive.\nAnswer: b**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or -0.774?\nAnswer: -0.774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.65 from 0.232.\nAnswer: -1.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -62. Suppose -1 + 97 = d*a + 4*m, 2*a = 5*m + 20. Suppose a*u = 19*u + 101. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/45 - ((-747)\/15)\/1. Let y = x + -50. Solve 22 = -a - 4*n, y = a + 4*n - 2*n + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -18*z + 22. List the prime factors of b(-8).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470 and 1034.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 344 + -340. Let h = 20.68 - 0.68. Which is the third smallest value? (a) 0.4 (b) h (c) y (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -19*t**2 - 12*t + 4. Let d(z) = -16*z**2 - 11*z + 2. What is 6*d(g) - 5*n(g)?\nAnswer: -g**2 - 6*g - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239*c**3*y**3 + 60227523*c**3 - 99157*c*y**3 - 2*c*y**2 - 3*y**3 wrt y.\nAnswer: 1434*c**3 - 594942*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*n*p**5 - 39*n*p - 49*p**6 + 4*p**2 wrt p.\nAnswer: -420*n*p**2 - 5880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 538, 1, 0, 20, -89 in decreasing order.\nAnswer: 538, 20, 1, 0, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/45 - c**4\/24 - 2*c**3 - 64*c**2. Let n(i) be the second derivative of q(i). Let l(b) = 2*b**2. Give n(l(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.63 + -0.63. Let q = -9 + j. Let u = -12.999872 + q. What is u rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 35*j + 75*j - 115*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 162*d + 459.\nAnswer: 3*(d + 3)*(d + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*u**3 + 5*u**3 + 5*u**3 - 16*u**3.\nAnswer: -u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -5, 3 in ascending order.\nAnswer: -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 325, 334, 349, 370, 397, 430, 469?\n\"Answer: 3*t**2 + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-14))\/(360\/(-840))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*n + 631 = -1247 - 1230 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2783 and 5687.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*f = -5 + 15, -12 = -4*f. What is the least common multiple of w and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0*5\/15)\/((-6)\/(-3)). Suppose 2*k - 59 + 151 = f. Let x = k + 45. Which is bigger: -26 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -5 (c) 276 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 5*k - 441 = 0. Calculate the remainder when k is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -30*z - 36. Let i be y(-1). Suppose -4*o = -9*o + 3*m - 40, -o = 5*m - 20. Is o < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.743872 greater than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rurrur. What is prob of picking 1 u and 3 r?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -5, -1\/81, -0.12?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.192, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - (-1)\/2*-2. Let l(k) = k**3 - 6*k**2 - 3*k + 4. Let f be l(4). Let q = n - f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20584 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 864*p**3 + 325*p**3 + 232 + 1160 with respect to p.\nAnswer: 3567*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7089 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvqv when four letters picked without replacement from {v: 16, q: 2}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**3 + 41*w**2 + 401*w + 351. Let o(h) = 37*h**3 - 286*h**2 - 2807*h - 2454. Let x(k) = -2*o(k) - 15*r(k). Suppose x(i) = 0. What is i?\nAnswer: -7, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3757536, -7515021, -11272492, -15029943, -18787368?\n\"Answer: g**3 + g**2 - 3757495*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/2 + 0. Suppose 28 = 3*w + w. Let n = -6 + w. What is the nearest to n in 2, z, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3287.9975764 - 3288. What is d rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(95)\/(sqrt(10)\/sqrt(2)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(2\/(-3)). Suppose -g - 2*g - 24 = 0. Let z be g\/21 - 14\/(-21). Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 1452*q + 221155. What is b(-139)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 29*g**2 - 1192*g - 7183. What is f(-6)?\nAnswer: 1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -10 + -12 + 50 + -47\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 3 + -29 + (11 - 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 108*t**2 - 308?\nAnswer: 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in 4804, 2\/5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200666828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 28. Suppose 5*t - 3*a = 18, u*t - 9 - 1 = -5*a. Suppose 0 = -4*w + t*w + 105. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 6:34 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 - 62. Calculate the remainder when w is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-44))\/(8 + 3 + 288\/18 + -28)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68511 + 68513.999919. Let h = -3 + c. What is h rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/270 and 137\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - a + 8. Let s = 3819 - 3824. Calculate t(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 38.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5057 - -154.097.\nAnswer: -4902.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-23)\/f*f**(2\/3))\/(f\/f**(2\/3))**10 assuming f is positive.\nAnswer: f**(-80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5) - (-138)\/(-345)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 22*v - 96. Let c be g(26). Calculate the greatest common divisor of c and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -378*z - 89. List the prime factors of o(-2).\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 4:23 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v - 176. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7246357 to the power of 1\/2, to the nearest integer?\nAnswer: 2692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42999 and 186387?\nAnswer: 229386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 5. Suppose 115*g - 1239 = 94*g. What is the remainder when g is divided by q(10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, w: 4, y: 5, i: 1, f: 1, q: 1}. What is prob of picking 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/6 + 5)*5\/4*-2. Let f(t) = 2*t**2. Let m(o) = o**3 - 3*o**2. What is v*f(z) + 4*m(z)?\nAnswer: 4*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z. Suppose z = -p + 6*p + 25, -20 = 5*d + 5*p. Suppose 3*v + d = 3*o - 38, o - 16 = 2*v. Solve 5*x - 5*t = -10, x + 2*x + t = -o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/54)\/((-452)\/6102).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -12 - 15. Suppose -u*v + 1281 = -3*p, -v - 4*p + 561 = 134. Does 61 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20b818 + 15?\nAnswer: 20b831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1013891, -1013897, -1013897, -1013885, -1013855, -1013801, -1013717?\nAnswer: -1013597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2338*f - 6. Let p(x) = -x**2. Determine p(j(o)).\nAnswer: -5466244*o**2 + 28056*o - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0.3, 0.2, 2\/55, -5594?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4481*a - 4405*a + 76 = n, 2 = -2*a - n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from aavrnvnnnjvvccnnaar?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 514 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 50, 139, 274, 461, 706, 1015, 1394?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 7 - 1, 5*u = 4*y - 10. Calculate the remainder when 14 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**3\/3 + 8. Suppose b(l) = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 130 = -2*d, d - 2*b - 35 - 27 = 0. What is the smallest common multiple of d and 88?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -266851558 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.032 and -0.09.\nAnswer: 0.00288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 11*o**3 - 3*o**3 + 4*o**3 + 2*o.\nAnswer: -12*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 254 + 165 + 3*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 2*t - 2*t)*(67*t**3 - 124*t**3 - 93*t**3) + (-3*t**2 - t**2 + t**2)*(0 + 0 - 2*t**2).\nAnswer: 156*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + ((sqrt(5)*2*-3 - 2*sqrt(125))*-3)**2)*5.\nAnswer: -345630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00045627772 rounded to 7 dps?\nAnswer: 0.0004563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5623*d**3 - 112849 + 13*d + 105934 - 13*d wrt d.\nAnswer: -16869*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eveeevvvvv. Give prob of sequence vee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 1022. What is the tens digit of g(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.48 + 2.18. Let i be -4 - ((-315)\/(-10))\/(-7). What is the closest to i in w, -0.1, 3\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i)\/(i\/(i*i\/(i**(-1\/3)*i)))*(i**15\/i)\/(i\/i**22) assuming i is positive.\nAnswer: i**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((2 - 2)*3\/9)\/1. Suppose 0 = -3*l + 4*d - d - 33, 3*l = 5*d - 43. Let q = w - l. What is the lowest common multiple of 16 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9750749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/531 and 139\/359664?\nAnswer: 1078992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 4\/51 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/4530492 and -119\/132?\nAnswer: 49835412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 - 5 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 1. Let o(s) = -5*s + 3. Give 6*b(m) - o(m).\nAnswer: -m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2, -2, 1, 335 in descending order.\nAnswer: 335, 14, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -2.11965379414.\nAnswer: -2.51965379414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + 2*i + 2*i)*(-3 + 3 - 1) + (-595*i + 293*i + 39*i)*(0 - 6 - 1)*(-1 + 2 + 0) to r*i + n and give r.\nAnswer: 1842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -997*k + 6. Let q(j) = 497*j - 3. What is -6*n(p) - 13*q(p)?\nAnswer: -479*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 31106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -279493729*k**3 - 1261853865?\nAnswer: -838481187*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 7 - (-347 - -347).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*l - 7*l - 53*l)*(10*l + 82*l + 108*l - 1) in the form b + r*l**2 + x*l and give r.\nAnswer: -16800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 9*p + 33. What is the tens digit of t(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.4 + -32. Let j = m + -0.4. Which is smaller: j or 0.8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Let a = 6 + -4. Suppose 2*k + a*k = -48. What are the prime factors of (6\/4)\/((-9)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.3 + -90.3. Let v = 74 + r. What is the closest to -0.2 in v, 5, -30?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.07154768 rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42.182 + 0.018. What is x rounded to zero dps?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 8:16 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 4*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*(7755\/(-55))\/((-420)\/(-80))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j = 185. Let r = -121 - -94. Let g = j - r. Is g smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 0 - -1 - 7*(-5 + -2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 13 + 14 + (-590)\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-70) + 8\/((-80)\/(-15))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 209*z**2 - 11*z - 28. Let t(x) = 105*x**2 - 6*x - 16. Calculate -4*d(w) + 7*t(w).\nAnswer: -101*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 + -81. What is the greatest common divisor of 75 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8135.495 * 4\nAnswer: -32541.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -53, -248, -585, -1064?\n\"Answer: -71*p**2 + 18*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*s - 20, 5*s = 2*l + 2*s. Let h be l + 93269\/(-14) + 3. Let p = -6649 - h. Find the common denominator of p and -117\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -189, -469, -913, -1551, -2413, -3529?\n\"Answer: -5*h**3 - 37*h**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:55 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101111 (base 2) in base 8?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*a + 680, -5*i - a - 2*a + 840 = 0. Let p = -11 + 15. Suppose -p*v + v = -i. Calculate the greatest common divisor of v and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t. Suppose 4*b - w - 22 = 0, -2*w - w - 6 = t. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 20*t + 27. Let r(k) = -24*k - 981. Let u be r(-40). Calculate d(u).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 - 3)*((4 - 4 - s)*(3 + 0 + 2) + 50*s + 31*s - 17*s).\nAnswer: 413*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -36 + 35 + 168*r + 7*r - 23. List the prime factors of d(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3107 + -1987. Suppose -224 + c = v - 2*x, -3*v - 5*x + 2655 = 0. What are the prime factors of v?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1368 + 35*t + 1439 - 38*t to the form r*t + l and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 1, f: 3, i: 4, v: 1}. What is prob of picking 2 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2 - l + 1. Let t(a) = -1649*a**2 + 3*a + 3. Calculate t(r) + 3*x(r).\nAnswer: -1634*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*a**3*c - 2*a**2*c - 15423*a**2 - 5714*a + 72*c wrt a?\nAnswer: 84*a*c - 4*c - 30846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -42, -77, -122, -177, -242?\n\"Answer: -5*k**2 - 10*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6992907, 13985811, 20978711, 27971607, 34964499?\nAnswer: 41957387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29479175.\nAnswer: 5, 11, 107197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1143 - -1146.5. Which is the closest to 0.1? (a) -7 (b) 1 (c) k (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -32*n**2 + 2*n. Let h(d) = -9599*d. Give h(k(u)).\nAnswer: 307168*u**2 - 19198*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 97915109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 532 - 460. Let z be q\/105 - 26\/65. Factor z*j**2 - 2\/7 + 0*j.\nAnswer: 2*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 246 and 118954571.\nAnswer: 713727426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + t + 1. Let z(l) = 18*l**2 + 78*l - 2. Determine 2*v(y) + z(y).\nAnswer: 14*y**2 + 80*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241 and 2949599?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-6))\/(45\/(-12))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21438502 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2713?\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**4\/a)*a*a*a\/(a*a\/(a*a\/a**9))*a*a)\/(a*a**(-4)\/a)**(-4\/7) assuming a is positive.\nAnswer: a**(-58\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/44)\/((-95)\/(-190))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 8*p + 21. Let m be d(-2). Solve -2*c + 5 = m*t, -3*c + 3*t + 8 = -2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d + 25. Let r(y) = 5. Determine -3*p(x) + 15*r(x).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 653*z**4 - 1535*z**3 - 8363492*z**2 wrt z.\nAnswer: 15672*z - 9210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 24*c - 73*c + 408980. Is 167 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - i**2 - 2. Let j be g(2). Let q be (21\/28 + 25\/(-20))*-6. Solve -q*b - j = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -209, -420, -631?\n\"Answer: -211*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 12. Let b be i(-11). Let d = 5 + b. Suppose 2*z = 3*p + 11, -4*p + d*p = -6. Is z < 7\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3256 and 1468.\nAnswer: -1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0 (b) 5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 154*x - 132. Let i(u) = 38*u + 2. Give a(r) - 4*i(r).\nAnswer: 2*r - 140","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 917452402 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 2. Let a(o) = -3*o + 5. Let n(m) = 2*a(m) - 5*g(m). Let w(d) = -7*d**2. Determine n(w(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 157 + 77 + 16*r**3 + 78 to x*r**2 + h + q*r + s*r**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 246.9 in -0.4, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 572 + 1.34.\nAnswer: 573.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c + 2*c)*(2*c**3 - c**3 + c**3) + 60*c**4 - 28*c**4 + 46*c**4.\nAnswer: 82*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35773.22 decades to years.\nAnswer: 357732.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*j - 64 - 30, 81 = 3*t + 3*j. Suppose 5*w + t = 0, 5 = -2*y - 3*y - 5*w. Suppose -y*o + 118 = -62. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57522 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10675 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.968288 to three dps.\nAnswer: 2.968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 14 in decreasing order.\nAnswer: 14, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3536104, -3536107, -3536110, -3536113, -3536116, -3536119?\n\"Answer: -3*o - 3536101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30620\/180 - 3\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/4*(-28)\/35. Solve 5*l + q + 10 = u*q, -4*q + 5 = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -9\/68 (c) -7 (d) 7.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 98\/255 and 119\/6?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 352 = -1064. Suppose -f = -707 - q. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214931 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: What is the second biggest value in -3654, 0, -0.2, -3\/5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 2*w + 1. Let j(x) = x**3 - 2*x - 1. Let h(v) = -3*a(v) - 4*j(v). Let u be h(-1). Let l be 448\/144 + 7\/(-63). Solve 0 = l*g - u*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-8)\/6)\/((-2)\/6) is divided by (2\/4)\/(9\/((-162)\/(-9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25571 + 40831. What are the prime factors of b?\nAnswer: 2, 3, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(24)\/sqrt(72).\nAnswer: -2 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699353 is divided by 349569?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -13104720 and -6785.\nAnswer: -13111505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-4\/7)*(p\/(p\/(p\/p**(2\/13))*p))\/p)\/(((p*p**(1\/8)*p)\/p*p)\/(p*p*p**(-6\/7))) assuming p is positive.\nAnswer: p**(317\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 = -23*h + 31*x, x + 55 = 8*h - 7*h - 4*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 566, 4, -1\/4, 27102?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 + 484 = 21*a. Suppose -3*k + 16 = 2*c - 5*k, 3*c + 11 = -4*k. Calculate the remainder when a is divided by -1*c*(-28)\/3.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 8 + 60*g - 12 + 32.\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5630 - -4?\nAnswer: 5634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 119*z**2 + 5. Let m(n) = -59*n**2 + 2. What is 2*b(l) - 5*m(l)?\nAnswer: -2*l**3 + 57*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 3. Suppose -13 = d - 5*w, b*d = -5*w + 2*w + 47. Find the first derivative of 2*r**2 + 9 + 2*r**2 - d - 2*r**2 wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - 7 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 3. Let a be k(-3). Let p be (-35 + 5)*2\/(-5). Suppose a = -u - u + p. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31543 is divided by 7852.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*((-1841)\/(-14) - -8). Let t = -518 - n. Calculate the greatest common factor of 680 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 975180 and 96?\nAnswer: 7801440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1460)\/(-1314)*(-6)\/8?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10127156896692098 - 10127156707008055.99999932. Let j = 189684059 - i. Let m = 17 - j. What is m rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*k + 23 = 16, -k - 20 = 5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2599431?\nAnswer: 3, 866477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**3 - a**2 + 29*a + 3. Let z(g) = 6*g**3 - g**2 + 30*g + 2. Let k(r) = -2*o(r) + 3*z(r). Find the second derivative of k(w) wrt w.\nAnswer: 24*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.3 + 5. Let w = 0.9 - 1.4. Let o = -0.1 - w. What is the second smallest value in a, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(528) - (sqrt(528) + 1*-1*sqrt(528)))*-4)\/((sqrt(72)*2)\/sqrt(6) - (sqrt(12) - (sqrt(60)*2)\/sqrt(5))) + -1)**2.\nAnswer: 16*sqrt(11)\/3 + 713\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27556344.\nAnswer: 2, 3, 382727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -7*d + 83. Suppose -r + 136 = 3*q, 4*r + 4*q - 548 = 4. Let l = r + -33. What is the smallest common multiple of d and l?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, v: 2, d: 4, b: 1, g: 2, j: 2}. What is prob of picking 1 g, 1 b, and 2 j?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-3)*7\/14.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60490, -120983, -181490, -242017, -302570, -363155?\nAnswer: -423778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 316*j.\nAnswer: j*(j + 316)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-10\/11)*j*j*j))\/j**(-15)*j**(-23)*j*j*j**(-9)\/j assuming j is positive.\nAnswer: j**(-188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (28 - 1)*(-4)\/3. Let h = b - -254\/7. Suppose -9*j + 8 = -1. Is h < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -6*a. Let t(u) = -692*u. Determine t(q(m)).\nAnswer: 4152*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/7 - 22\/56. Let v = 0.211 - 0.111. What is the nearest to 1\/2 in v, l, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -160\/3. Factor h*w**3 + 2\/3*w**2 + 0 + 0*w.\nAnswer: w**2*(7*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8611*u**2 + 13*u. Let v(n) = 20*n. Give v(c(p)).\nAnswer: -172220*p**2 + 260*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 - v**2 - v + 1. Let j be n(1). Suppose 5*d = 16*d - 33. Solve 0 = 3*q - 3*t + 9, q + j*t - 9 - d = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77, 111, 155, 215, 297, 407, 551?\n\"Answer: s**3 - s**2 + 30*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -6. Solve 0*g = z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -311560280 by -15578014.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 117.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.97 minus 0.071?\nAnswer: -2.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59914541 is divided by 2267?\nAnswer: 2265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 26 + 21*w**2 + 10*w**3 - 7*w**3 - 23*w. Let a be k(-22). What is the highest common factor of 16 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11786 = 2702. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -103. Suppose -11*v + 925 + 967 = h. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10645.548236 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -2*m**3\/3 - 5*m**2\/2 + 24*m. Let a(i) = -i - 2. Let u(o) = -3*a(o) + f(o). What is u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let q(i) = i**3 + 5*i**2 - 8*i - 7. Let m be q(-6). Suppose m*x = 15 + 5. What is the smallest common multiple of z and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5320066 (base 9) to base 14.\nAnswer: -541a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1069 - -4907. What is the tens digit of (2*1\/(-4))\/((-2)\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2351697864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-33777)\/(-2085))\/((-13)\/((-195)\/3))\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 1. Let a be q(3). Suppose -t = -a*t. Let c be (-1)\/(-2) + (-13)\/18. Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360319835.\nAnswer: 5, 877, 82171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1502, -2967, -4434, -5903, -7374, -8847, -10322?\nAnswer: -11799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/4)\/((-11900)\/1785)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:01 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 488274324 to the power of 1\/2, to the nearest integer?\nAnswer: 22097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -37*j. Let s be q(-3). Let a be (-2)\/7 - s\/(-21). Solve 3*f + a = -7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 61. Let z(i) = 5*i + o + 3*i - i**2 - i**2. Suppose 353*d = 349*d + 24. Calculate z(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/20)\/((-14)\/28*-1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/(-80 - 136)*(8 - 0). Find i, given that -2\/7*i**v + 48\/7 - 10\/7*i = 0.\nAnswer: -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1198408? (a) 4 (b) -14 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/5 and (-2)\/(60\/153) + 1 - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 30, -5, 13, -3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -40 + -3 + 4 + 23\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 373331036.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 517, 543, 583, 637, 705, 787, 883?\n\"Answer: 7*q**2 + 5*q + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -o - 3*u, 2*u = 4*o - u - 23. Let y = -13 + -1. Let g = y + 11. Let s(q) = q**2 - 3*q + 3. Let a(b) = -2*b + 2. Give g*a(p) + o*s(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/14 and -91\/76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*u + 53, 4*u + 73 = -3*n + 2*u. Let s = 35 + n. What is the third derivative of 3*o**2 - 2*o**2 + 10*o**3 - s*o**3 - 2*o**4 wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -506*k**4 + 510*k**4 + 30*k**2 - 9*k**2 + 2 - 2 - 3*k**4 + 0*k**4 - 3*k**4 + 2*k**4 + (-k**2 + k**3 + k**2)*(-k + k - k) - 4 + 4 - 2*k**4.\nAnswer: -3*k**4 + 21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -371 - 413. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:00 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -188598099 not equal to -188598098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 112 (b) -2\/17 (c) -3\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 17*j - 57 = 0, -584 = -3*x - 5*j - 575 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715890 divided by 418?\nAnswer: -4105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*f - 2 + 2 + 74*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 629*s + 402 - 402 - 138*s as f*s + b and give f.\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**24*d)**(-2\/103) assuming d is positive.\nAnswer: d**(-52\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 107695469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**7\/2940 + m**5\/420 - 2*m**3 - 4*m. Let a(u) be the second derivative of n(u). Suppose a(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, r: 1, j: 1, f: 7}. Give prob of sequence rj.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.765127ng in kilograms?\nAnswer: 0.000000000009765127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4161.5um to kilometers.\nAnswer: 0.0000041615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14282862 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305845 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (-1 + 7 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 12 = 3*f. Suppose -p + 4*d = -3*p + 14, f*p - 35 = d. Suppose 12*w = p*w + 141. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -457435 + -4?\nAnswer: -457440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s. Let f = s - -10. Let c = 0 + f. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - 48*y + 4*y**3 + 6*y - 5*y**3 + (7 - 5*y**3 - 7)*(-3 + 3 - y).\nAnswer: 8*y**4 - y**3 - 42*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c\/c**(-14)*c)))**2\/(c**(3\/11)\/c*c**(2\/13)) assuming c is positive.\nAnswer: c**(4372\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 divided by -2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 11:08 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, j: 1, d: 2, l: 5}. What is prob of picking 1 j and 2 d?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -35. Suppose -5*p + x*d = d - 2587, p = d + 519. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 2*z - 44, 3*z - 429 = 5*g - 200 - 183 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 310?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 3*q**2 - 4*q - 3. Let u(s) = s**2 - 3*s - 6. Let m be u(6). Suppose -t + m = 3*t. Suppose -t*j = j + 12. Calculate w(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 1\/9 (b) 0.05 (c) -1 (d) 2\/15 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0 + 2. What is the units digit of (-21)\/u*(-18)\/27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77656 to the power of 1\/2, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6626*c + 12176. Calculate d(-2).\nAnswer: -1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68713, -5, -6\/7.\nAnswer: -68713, -5, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 18. Calculate the remainder when 24 is divided by y(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031931408 rounded to 6 decimal places?\nAnswer: 0.003193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = -3*n. Let p = 0.044608 - 0.344608. What is the nearest to n in -5, 2, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11715157 less than -0.221?\nAnswer: -11715157.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 366256*j + 1465035. Give f(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -14. Let v be -3 + 4 + u\/2. Solve -v = s - 0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - j + 0*j + (-2*j + j + 3*j)*(-5 + 4 + 2) + 3*j - j - 4*j + 10550*j + 10106*j - 6850*j.\nAnswer: 13805*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 586.6614km in millimeters?\nAnswer: 586661400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v + 1257 = 302*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + v + 8 = 4, -2*g + 4*v = -16. Suppose 2*a + g*a = 0, y = -2*a + 11. Factor -y*i**4 + 9*i**5 + 12*i**3 - 4*i**2 + i**5 - 7*i**5.\nAnswer: i**2*(i - 2)*(i - 1)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 1. Let w be k(1). Suppose 0 = -w*u + 1 - 5. Let b = 3.925 + -4.925. What is the closest to u in b, -5, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6679*m = 6681*m - 4064. What is the highest common divisor of m and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -103. Let k be ((-522)\/o + -2)*27\/36. Let f = k + 603. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 - p - 2. Let y be x(-5). Let n be (1 - 2)\/(y\/(-6)). Factor -d + 3*d - d**3 - 4*d**n - 6*d.\nAnswer: -d*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1149714 and 71\/4042?\nAnswer: 49437702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37975 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.526406 to two decimal places.\nAnswer: 33.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstssssstst. What is prob of picking 4 s?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5\/(((k\/(k*k**2\/k*k))\/k)\/k)*(k\/k**(-4\/7))\/k**(2\/3))\/((k*k\/k**1)**(-10))**(-1\/2) assuming k is positive.\nAnswer: k**(103\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -125*r + 252*r - 126*r + 3. What is n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4780387, -38243077, -129070383, -305944615, -597548083?\n\"Answer: -4780385*z**3 + 2*z**2 - z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6 + 0 - h**3 - 8*h**2 + 1 - 2*h + h**2. Let l be x(-5). Let t = l - -58. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2103 (base 4) to base 11\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(13)) + -3 - sqrt(52)\/(-1*sqrt(4))*6)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.9412312 and -3.\nAnswer: -13.9412312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1 - 2*j**2 - 3*j**3 + 4*j**3 - 5*j + j. Let d be q(3). Suppose 75 - 24 + 42 - 203 = -55*a. What is the smallest value in 0.23, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -311 + 311. Suppose -f = 2*g - 6, k = -3*f - 2*f. Let -2*u**g - 36\/7*u**2 - 40\/7*u - 16\/7 - 2\/7*u**4 = 0. What is u?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/33 and 73\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 69*p - 70*p - 6, -p = 2*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 252 - 18. Solve -5*s - 8 + p = -j, 0 = 4*s + j - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1062 = 5*x, 2*x - x = -3*q + 202. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -868 and -13.\nAnswer: 11284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.18 (b) -8 (c) 5\/2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6989 divided by -8.\nAnswer: -6989\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -213526422 divided by 5886\nAnswer: -36277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/3975 and 5\/1749.\nAnswer: 43725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4\/3, -12, 208.533 in descending order.\nAnswer: 208.533, 0, -4\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + -739. Let y = w + 787. Sort 56, -3, y.\nAnswer: y, -3, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 22 = -4*p, 0*u - 5*u - 4*p + 38 = 0. Let o(g) = -g - 1. Let s be o(-7). Solve -u = -11*j + s*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3481 - 275 = 288*t + 4*f, -64 = 4*t - 7*f + 20*f - 9*f for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.03 - 3.03. Let g = r - -1.9. Let v = 3 + 7. Sort -1\/4, v, g in descending order.\nAnswer: v, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = r - 8, r - 5*y + 4 = 9. Let h be 6\/r - (-36)\/15. Let s be 10*(-3)\/(-6) - h. Solve 3*o - 5*z - s = 0, -5*o + 3*z = -z - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5 - 220*q**4 - 1960*q**3 - 880*q**2 + 7904*q + 7040 = 0. Calculate q.\nAnswer: -44, -10, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 647990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 2*v**2 - v. Let w be h(-1). Let g be 1\/(8\/34) - 20\/80. Suppose g = -11*p + 12*p. Put -12, -2, p, w in increasing order.\nAnswer: -12, -2, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01782 times -71?\nAnswer: 1.26522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -391*x**4\/24 - 4418*x**3\/3 - 7*x**2 + 140. Differentiate w(v) with respect to v.\nAnswer: -391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*k**3*z - 2*k*z**2 + z**2 - 2586*z + 1 wrt k.\nAnswer: -12*k**2*z - 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 139\/4. Let f = -12 - -18. Suppose -3*y - f = -v, -v + 7 = -y + 3. Which is the closest to w? (a) -2 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + u. Let s = -37 + 26. Let z(k) = 22*k**2 + 12*k + 7. Let r(c) = 45*c**2 + 25*c + 15. Let p(q) = -6*r(q) + 13*z(q). Calculate s*o(g) + 2*p(g).\nAnswer: -g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k + 35. Let a(m) = 8*m**2 - 2*m - 3. Let p(x) = -1. Let g(h) = -a(h) + 3*p(h). Let o(l) = -25*l**2 + 7*l. What is k*g(c) - 2*o(c)?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(3\/60). Let i be (-17)\/5 - d\/(-25). Let j be -2 - i - -3 - 2. Is 3\/4 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = b + 1, -5*r + b + 14 + 11 = 0. Let c = -1 - -1. Let i = 8 - 5. What is the biggest value in i, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -125, -111, -97, -83, -69, -55?\n\"Answer: 14*g - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(-1\/2)\/((w*w*w**5*w*w)\/w*w\/(w*w**19*w)) assuming w is positive.\nAnswer: w**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**4\/12 + o**3 - 9*o**2\/2 - 7*o - 3. Let f(u) be the first derivative of g(u). Factor f(x).\nAnswer: -(x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4880 and 1991345?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 + -1)\/(-2))\/1. Suppose o*k + 206 = 2*k. Let z = -57 + k. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1299785.\nAnswer: 5, 47, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 1791408.\nAnswer: 1\/223926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*s + 29 + 37 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -952, -3, -0.3 in ascending order.\nAnswer: -952, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(70)*-3 - sqrt(70)))\/sqrt(10).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3\/4, -1\/4.\nAnswer: -3\/4, -1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 77 + 715 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1377) + -2*sqrt(1377) + -4 + 1*sqrt(1377))**2 + (sqrt(85)\/(sqrt(5) + sqrt(30)\/sqrt(6) + sqrt(5)))**2 + (-6*(sqrt(17) + 5))**2.\nAnswer: 360*sqrt(17) + 13850\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 9. Let n = l + -44. Let v = n + 16.9999982. Round v to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, h: 1}. Give prob of sequence khk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 19, -10, 0 in descending order.\nAnswer: 19, 0, -10, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 + 61*x**2 - 303*x + 31. Give d(4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (2 + 0)) + 0\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*x + 14 = -94*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 13*z - 2. What is n(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*j - 10. Let z be (-6)\/9 + j\/3. Factor -3*m**2 + 6*m**3 - 5*m + 5*m - 6*m**4 + z*m**4.\nAnswer: -3*m**2*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((10\/52)\/5)\/((-45)\/30))\/(3\/27)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40775639.999452 + 40775332. Let l = h + 308. What is l rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6))**(-2\/7))**(-29) assuming a is positive.\nAnswer: a**(-348\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 + 166 + 4*a + a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133428 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 128, 189, 3 in increasing order.\nAnswer: 3, 17, 128, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123611)\/(-710) + -169 + 2\/4.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a hour in minutes?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2090.9 to the nearest one hundred.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 405\/20*1 - 1\/4. Let r(z) = v*z - 3*z**2 - 2*z - 18*z. Let d(k) = 13*k**2. What is r(d(f))?\nAnswer: -507*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36.9 and 26?\nAnswer: -959.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l + 10. Let j be d(4). Let a be j*(-8)\/440 + (1 - 1). What is the closest to -0.1 in a, -3, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -1\/8, 3\/11, 3638?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1646235, 1646215, 1646171, 1646103?\n\"Answer: -12*b**2 + 16*b + 1646231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n**2 + 128*n + 754. Calculate the remainder when k(-8) is divided by 90.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, g: 5}. What is prob of sequence gg?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5590.827 millennia to years.\nAnswer: 5590827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 5:32 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 564480.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1939421964?\nAnswer: 2, 3, 139, 263, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 4. Let z be y(-4). Suppose z = 5*g - g. What is the least common multiple of (56\/7)\/(3\/6) and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 160.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -604.61 - -2404.94. Let u = 1810 - d. Round u to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.1, 16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - 87. Let d = 50 - f. Calculate the highest common factor of 20 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 7:13 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -88296804 divided by -6?\nAnswer: 14716134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -18*j + j**3 + 29 + 9*j - 9*j**2 - 21 - 12*j. What is the units digit of z(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -99, -333, -785, -1527, -2631, -4169?\n\"Answer: -12*j**3 - j**2 - j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 421, 866, 1459, 2200, 3089, 4126?\nAnswer: 5311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -5943 (c) 23 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 10*u + 3. Let n(o) = -4*o**2 + 9*o - 2. Let h(q) = -3*g(q) - 4*n(q). Let v be h(6). Let c(j) = -20*j**3 - j**2 + 1. Give c(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*z. Let l(h) = -4*h + 9. Let w(q) = -q + 2. Let k(u) = z*l(u) - 9*w(u). Let j be k(-3). Put 4, j, 2 in decreasing order.\nAnswer: 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (sqrt(18) - (sqrt(18) - -5*sqrt(18)*4)))\/(sqrt(864)*5).\nAnswer: -19*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 190528 divided by -14656?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 12:34 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9085\/4 smaller than 2271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -1\/3*h**3 + 1\/30*h**6 + 0*h - 89\/60*h**5 + 12*h**2 + 1\/210*h**7 + 1 + 0*h**4. What is the third derivative of b(t) wrt t?\nAnswer: 24*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-390)\/(-273)*(-112)\/40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4573*p + 26841*p**3 + 4573*p.\nAnswer: 26841*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 321075*h**3 + 395*h**2.\nAnswer: 5*h**2*(64215*h + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19173.2 - 19172. Sort 2\/15, 14, l.\nAnswer: 2\/15, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:47 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 13*i**8\/840 - 4*i**4\/3 + 5*i**3\/3 - 21*i**2. Let y(z) be the first derivative of t(z). What is the derivative of y(k) wrt k?\nAnswer: 104*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 19*o + 25. Suppose 0 = 184*l - 168*l - 320. Calculate n(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**6\/120 - p**5\/6 + 3*p**4\/8 + p**3\/3 + 7*p**2. Let r = 16 - 7. Let w be u(r). Solve -7 + 1 = w*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-16)\/x))\/(x*x**(-7))*(x**(-6))**(-21))**(-26) assuming x is positive.\nAnswer: x**(-3900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*r + 4*t - 2*t = 47, -352*r + 93 = -351*r + 6*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -61355, -10, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.003, -35.17152.\nAnswer: -35.17152, -1, -0.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 340\/(-70)) + -9?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.008, 0.0593, -0.2, -1 in descending order.\nAnswer: 0.0593, -0.008, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 470, 940, 1408, 1874, 2338, 2800?\n\"Answer: -m**2 + 473*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-9))\/((-2)\/(-6)). Let h be -2 - -4*(-3)\/g. Which is greater: h or -9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*n + 3, -4*n = -3*k - k + 12. Suppose -s = k*d - 657, -9*d = -6*d - s - 663. What are the prime factors of d?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, s: 3}. Give prob of sequence ii.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.081 + -0.481. Suppose 2*r + 2*r - 5*j + 20 = 0, 2*r + 10 = -j. Which is the third smallest value? (a) o (b) r (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0*n**3 + 5\/12*n**4 + 4*n + 0 + 0*n**2. Let h(x) be the second derivative of x**3\/3 - 4*x. Give a(h(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 15 = -3*c. Factor -24*i + c - 2*i**3 + 9 + 26*i**2 - 14*i**2.\nAnswer: -2*(i - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1058 + 948 + 19 + c - 94 to s + y*c and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. What is the second derivative of 3*r - 4*r + 7*r**4 - b*r**4 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {w: 2, s: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -794*t**5 + 826*t**5 - 608*t**5 + (-2*t**2 + 6*t - 6*t)*(-t**3 - 2*t**3 - 2*t**3).\nAnswer: -566*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiuuiu. What is prob of picking 1 u and 1 i?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from {f: 1, x: 2, o: 3, w: 3, i: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 5. Let m be f(-10). Suppose 125 = -0*t + m*t. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -5*y**2 - 23*y + 2. Let q(l) = -11*l**2 - 47*l + 4. Let f(s) = 6*q(s) - 13*z(s). Calculate f(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/(-180) - 1\/(3\/(-3154)). Suppose 2*y - p = -3*u, -y = -u + 2*y + 358. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -1751.\nAnswer: -1747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -42?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8897.9687 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 96*g**2*v + 1395*g*v - 4068*v - 30 wrt g?\nAnswer: 192*g*v + 1395*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -4*u - 8, -26 = -452748*u + 452761*u + 5*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 221121.18 minutes?\nAnswer: 21.936625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-15) + 9\/(-15)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-760))\/(8\/(-16)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -865\/25463 or 1?\nAnswer: -865\/25463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - 5*l - 4*l - 2*l - 15*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(2) + 1 + 0 + 1)**2.\nAnswer: 2 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4137327*0.1\nAnswer: -413732.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 33\/5 of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.09, 7, 3\/7, 5 in decreasing order.\nAnswer: 7, 5, 3, 3\/7, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210 + 6?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmbbmkbkbm. What is prob of picking 3 m and 1 k?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*z + 3, -1460*z + 6 = -1456*z + 3*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 1957*q - 6697*q - 6574*q + 0.\nAnswer: -11314*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -540, -501, -444, -369, -276, -165?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*((-4)\/(-20) + -3 + 2). Let m be (-9)\/(3 - y) - 2. Suppose 4*w - 3*j = 5*w - 26, 2*w - 2*j = 76. What is the highest common divisor of m and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5*j + 342 - 402 = 0, 0 = 3*c - 6*j + 33 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -17*a**2 - 25*a + 8. Let y(g) = 50*g**2 + 72*g - 22. Let t(n) = -11*p(n) - 4*y(n). Let r(m) = -2*m**2. What is t(r(h))?\nAnswer: -52*h**4 + 26*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -3\/10 (b) -3\/59 (c) 0 (d) -12 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04693 - -3438029.\nAnswer: 3438029.04693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -393, -712, -913, -936, -721, -208?\n\"Answer: 10*n**3 - n**2 - 386*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -25. Let d = 16 + o. Which is the second smallest value? (a) 5 (b) 0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4966.57 - -4965.929886. Let z = 2.6 - 1.96. Let l = b + z. Round l to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073183 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-40)*(-15)\/(-42)*2. Let h = -33 + 17. Let x be (2\/h)\/(7\/(-14)). What is the nearest to -2 in x, q, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*p + 306. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.036 - 0.034. Which is the nearest to 1? (a) 0 (b) v (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 0.4, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*j = 1053*j + 1043*j - 9965 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2042 (base 10) to base 16\nAnswer: -7fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {u: 2, h: 11, d: 1}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26081 - 24392 = -p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*a = -247*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-10)*15\/771. Let y = l + -19861\/3084. Let m = 18613\/20 + -931. Find the common denominator of y and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/130 and -21\/260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17275060 + -17?\nAnswer: 17275042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, 139, -3, -0.5, -1.4 in decreasing order.\nAnswer: 139, 5, -0.3, -0.5, -1.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 17 = -2*l + 3*h, 0 = -5*l - 4*h + 49. Solve 5*v - 2 = 4*t, -3*t + l = 2*v - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 + -2. Suppose b = 3*y - y. Let j = 3 + y. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 8*x - 4. Let q be f(-5). Let g = 33 - q. Solve -3*m = g*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11053 smaller than -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/14 + 1 + (-18)\/14. Let c = -2 + o. Is 4\/3 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-8) + (-105)\/660. Let h = p + 117\/44. Factor 0 + h*j + 3\/4*j**2.\nAnswer: 3*j*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 537 - 868. Let i = x + 331.1. Which is the nearest to i? (a) 4 (b) -6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 1 + 6 + -1. Suppose 0 = 3*r + 2*f - 5, 7*f - 17 = r + v*f. Let x = -5.02 - -0.02. What is the second smallest value in x, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -3*d**5\/20 + d**4\/24 + d**3\/6 + 3*d**2. Let h be c(-3). Let a = -57 - h. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20) + -4) + -6*(sqrt(5) - sqrt(45)*-4) + 4.\nAnswer: -80*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 10:04 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/4)*m**(-4)*m*m\/(((m\/(m\/m**10))\/m)\/m)*m*m**(-7) assuming m is positive.\nAnswer: m**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*j + 18 = 0, -5*v + j = -3 - 4. Let p(y) = 4*y**2 - 2*y - 1. Let z be p(-1). Sort -3, v, z in decreasing order.\nAnswer: z, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + t = 81, -t - 3*t = -s - 1. Let b(r) = -r + 5. Let w be b(s). Suppose -2*g + g = -w. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 16, n: 2}. Give prob of picking 2 n and 2 o.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - 36725 = -24*x. Suppose 2707 = 4*q - x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1150 and 2124050?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 2. Suppose 149 = -4*i - 4*o + 53, 5*o = 10. Let u be h(i). Calculate the remainder when 48 is divided by (34\/(-4))\/(12\/u).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1265\/44)\/(5\/380)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 556913931, 556913932, 556913933, 556913934?\n\"Answer: g + 556913930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 597 - 137. Let q = 286 - x. Let j = q - -174.201. What is j rounded to 2 dps?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t - 171. Let b(k) = -2*k + 172. Determine -4*b(u) - 3*n(u).\nAnswer: -u - 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:38 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 3. Let h(v) = 3*v**3 + 188*v**2 + 488*v + 490. Let o be h(-60). Sort 3, 5, o, t in descending order.\nAnswer: o, 5, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1060)\/6825 - (-4)\/30. Is d not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 474 = -82*y - 1606 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1000101?\nAnswer: 1001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -1\/6*y**2 - 4\/3*y + 10\/3 = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((a*a\/(a*a\/(a*a**(-2))*a))\/a)\/a**(-6))\/(a\/((a**6*a)\/a)*a*a**5))**22)**(-3) assuming a is positive.\nAnswer: a**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/120 + k**5\/20 + k**4\/12 - k**3\/3 - 4*k**2. Let r be v(3). Let z = -3486 + 3491. Sort 2, -2, r, z.\nAnswer: -2, 2, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-1 - (1 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s = -14. Let o be ((-14)\/7)\/(-2)*(-1 + 1). Suppose -5*p - 10 = o, p + 3*p = 2*l - s. Let i(u) = -u**2 + u - 1. What is i(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqpqqp. What is prob of sequence qqqp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*p + 298*p + 77*p + (-4*p + 2*p + p)*(-1 + 2 - 3) + 2*p - 5*p + p)*(0 + 0 - 2*p**3).\nAnswer: -886*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 928 and 177828.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2296082, 4592192, 6888314, 9184454, 11480618?\nAnswer: 13776812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297 - 338 - 298 + 933 + 10*c + 17*c.\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0410642m to centimeters.\nAnswer: 4.10642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x - 6 = 0. Suppose 7*m = x + 5. Let s(k) = 679*k**2 + k - 1. Is s(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 29 (b) 2\/39 (c) 2461\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 10:40 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -34*t. Let o(q) = 3*q**2 - 7. Give o(w(j)).\nAnswer: 3468*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**2\/a))**(-1\/30)\/(a*a**2\/a*a)**43)\/(a**(-2\/9)*a*a**(-2\/13)\/a*(a\/a**(-2\/7))**39) assuming a is positive.\nAnswer: a**(-146410\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1756, 1764, 1784, 1822, 1884, 1976, 2104, 2274?\n\"Answer: u**3 + u + 1754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-3 + 3 + 2*l**4) - 6*l**4 + 0*l**4 + 4*l**4 + 2*l**4 + 0*l**4 + 0*l**4 + 2*l**3 - 8*l**4 + 4*l**4 + 2*l**4.\nAnswer: -4*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3410 is divided by 846.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h*l**3 - 49775*h*l**2 + h*l*w + 7*h*q*w + 13074353*l**3*w + 129*l**2*q with respect to w.\nAnswer: h*l + 7*h*q + 13074353*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2. Let m(i) = -i**2. Let z(v) = 3*m(v) - 2*t(v). Let g = -3 + 4. Let a(b) = -g + 3*b + 1. Determine a(z(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 398 + -141. What are the prime factors of p?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-2)\/2)\/1*1)\/1. Let t(p) = -31*p**3 - 2*p**2 + 1. Let s be t(c). What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in decades?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*w + 1 = 0, -5*w - 26 - 12 = 4*c. Let t = c - -11. What is the tens digit of ((-6)\/t)\/((-18)\/420)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j*v**4 + 7768*j*v**3 - 8224837*j*v**2 + 24*v**4 + 2*v**3 wrt v.\nAnswer: 120*j*v + 46608*j + 576*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from {b: 3, c: 4, k: 1, l: 3, y: 3, u: 2}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4144 (base 5) to base 9.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -711.9229806 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 114 divided by -57\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2813113 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-9) - (4\/6 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + -11344432?\nAnswer: -11400102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -502054 divided by -10246?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -118.54838 to 1 dp.\nAnswer: -118.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:13 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -4 (c) 4 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*w - 162*w + 51*w + 9*w**3 + 0*w**3 + 55*w.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4*u)\/u)\/u**(-1)*(u**(-4)*u)\/(u**(-2\/9)\/u*u) assuming u is positive.\nAnswer: u**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 - 173*m**2 + 349*m - 175 = 0.\nAnswer: -175, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100422225 (base 6) to base 10\nAnswer: 1713833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 318944 (base 10) to base 3\nAnswer: 121012111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6388, 6, 2, 1, 5, -1 in descending order.\nAnswer: 6, 5, 2, 1, -1, -6388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11190844 and 154.\nAnswer: 123099284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000563183 to six decimal places.\nAnswer: -0.000563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 548*o - 3. Let g be f(0). Suppose 4*n - 3*s - 29 = 0, -n - 5*s = -2*n + 20. Suppose -4*c + 5*j + 40 = j, -2*c + n*j + 32 = 0. Sort c, g, 5.\nAnswer: g, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 + -635\/3. Put 0.3, s, 3 in increasing order.\nAnswer: s, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - b3?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -414 - -413. Is (383 - 22) + (p - 0) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1078*h*z**4 - 2*h*z**2 + h + 118*z**4 + 21309*z**2 wrt z?\nAnswer: 25872*h*z + 2832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*11062.\nAnswer: -22124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 + 16*c + 114\/7.\nAnswer: -2*(c - 57)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 1\/14*h**3 + 0*h**2 + 1\/21*h**4 + 21*h + 1\/140*h**5 + 17. Let y(g) be the first derivative of l(g). Factor y(n).\nAnswer: n*(n + 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/(30\/(-3)))\/(-7)*2\/((-560)\/24)?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -23 + (-24 + 15 - -36). Solve -8\/5*i**3 + 2\/5*i**5 + 0*i + 0*i**2 + 0*i**a + 0 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450))**2 + sqrt(2) - sqrt(2)) + 2 - (-2 + ((sqrt(8)\/sqrt(4)*-4)**2 - sqrt(2))).\nAnswer: sqrt(2) + 422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 4*h**2 - 97*h + 260.\nAnswer: (h - 5)*(h - 4)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -s + 64, -2*b = 2*s + 7 + 9. What are the prime factors of (-130)\/b - 3\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*b = -35*b - 9 + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2. Let d(m) be the third derivative of 0 + 0*m + 0*m**3 + 0*m**4 - 1\/20*m**5 + 21*m**2. Give d(p(t)).\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114 by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t**3 + 9 + 38*t**3 + 20 - 29 - 2*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 2*d + 2. Let n(i) = i + 1. Let w(u) = n(u) - x(u). Let c(v) = -v**2 - v. Give -2*c(r) + w(r).\nAnswer: -r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2581994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (42 + -27)*(-7)\/(-28)*-4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2985 + -2978. Which is the closest to t? (a) -2\/5 (b) -0.48 (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159682 - 159034 = -24*m for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 3:35 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*g + 81 = 0, 3*g - 152 = -4*h + 138. Suppose 0 = 3*o + 3, -4*f + h = -2*f + 3*o. What is the remainder when f is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2*sqrt(242))*1)**2 + (4 + sqrt(242)*-1)*5.\nAnswer: -143*sqrt(2) + 992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982549 is divided by 140362.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert b14 (base 14) to base 8.\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -14. Let v = -5 + j. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*t + 19 - 649 + 3399 = 13*t for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 67764729 - 1.35\nAnswer: 67764727.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 108\/17*z + 2\/17*z**2 = 0 for z.\nAnswer: -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i + i + (-2 + 6 - 3)*(17*i - 8*i + 15*i))*(-7 + 6 + 14).\nAnswer: 338*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**2 - 1840*v - 10155565 = 0. Calculate v.\nAnswer: -1253, 1621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 4*a + 2 - 8*a)*(-13 + 4 - 4) as o + n*a and give n.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 3, -2, -20, -76\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 2*l + 8. Let z be t(3). Let u(m) = m**3 - 11*m**2 - m + 10. Determine u(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -958*l**2 - 2546.\nAnswer: -1916*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6144 - -6122. Let w = 2 + -2. Sort 2\/13, q, w in decreasing order.\nAnswer: 2\/13, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4951490 is divided by 446.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 h when four letters picked without replacement from yyyhfpppdpip?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 + 2*r + 1. Let d(m) = -2*m**2 + m + 3. Give -2*d(j) + 6*x(j).\nAnswer: -14*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -2 - -3) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 + -0.02. Sort 4, l, -5\/3 in descending order.\nAnswer: 4, l, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193.26 times 0.5?\nAnswer: -96.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2083936 minutes to hours.\nAnswer: 0.03680656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m = 3*i, -10 = i + 5*m. Which is the nearest to -0.7? (a) -1\/4 (b) 0.02 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 418568 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338964 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -0.3, 0.4, -0.37, 18\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 4*u**2 - 2*u + 6. Let o be d(6). Let c be -4 + 4\/(-6)*-3. Is c\/(o\/(-21) - -3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0375660118*2\nAnswer: 0.0751320236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 - 61*b + 6. Give d(-13).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -4*x - 0*o + 11, -x - 5*o = -14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c + 36. Let m = 170 - c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.97 times -0.0829\nAnswer: 0.080413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6207 or -6208?\nAnswer: -6207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142467654 a multiple of 1239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvb when three letters picked without replacement from bkbvsvsvbsj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -225 + -14f?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o*o**(2\/5)*o)\/o*o)\/o**(-3\/7) assuming o is positive.\nAnswer: o**(169\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**2 - 5478*c - 5481 = 0.\nAnswer: -1, 1827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6 + 386718*l**3 - 250870*l**2?\nAnswer: -240*l**3 + 2320308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-8) + (221\/(-136))\/(-13)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002027167977 to 7 decimal places.\nAnswer: -0.0000203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 6\/18)*(4 - (-3 + 7)). Let w(z) be the third derivative of 0*z**3 + 6*z**2 + 0*z - 1\/4*z**4 + c. Let y(j) = 3*j**2. Give y(w(r)).\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/9844 and -13\/5832.\nAnswer: 14352552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 22 = -2*x, 0*x + 12 = h - 3*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from ilywwxo.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 57703\/15059?\nAnswer: 57703\/15059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 608124569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 + 12*m - 6. Let v be (-220)\/(-25) - 1\/(-5). Is 11 a factor of o(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/36*((-24)\/10)\/(738\/1230)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 12\/7, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, -4, 0.18, 2\/5?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 2)*-5 + sqrt(80) + (sqrt(80) - (0 + sqrt(80))) + -3)**2.\nAnswer: 416*sqrt(5) + 1449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 - 26*c**2 - 58*c + 24. Determine x(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-12))\/(7\/28). Let f = -1 + 8. Let h = -12 + f. Which is the second biggest value? (a) -1\/6 (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -10. Suppose -205 = -l*r - 35. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4287, -116, -31 in descending order.\nAnswer: 4287, -31, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3765756 and 848?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 - 136. Let q be (-8)\/60 - l\/15. Solve 30 = -3*m - 2*m - 5*o, q*o + 18 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 8 - 4. Let z(u) be the first derivative of -3*u**2\/2 + 47*u - 44. Let k be z(17). What is the nearest to x in 2, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 6*s - 20 = 5*z, -5*s = -5*z + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 4*d + 4. Let q be v(4). Suppose -5*r + 7 = -4*m, 3*r - 4*r - q = m. Which is the smallest value? (a) r (b) -4 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*t. Let c be 25\/(-15)*(9 - 6) + 10. Suppose t = -h - s + 16, c*s = -4*h + 52 + 13. Solve k + h = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -20*y - 11. Give c(3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6*s + 180 = -68*s. Which is the biggest value? (a) s (b) 1\/3 (c) 0 (d) -0.36 (e) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 880 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 9*u - 21. Let s be o(15). Let a = -47 + s. Let n(x) = -x**3 + 24*x**2 + 12*x + 30. Is n(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10474 is divided by 2*25*((-517)\/(-94) + -5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*1*-2)\/sqrt(10) + 0 - (sqrt(19) + (sqrt(76) - (sqrt(76) + sqrt(76)*1))\/sqrt(4))*4*3)*-1.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 107*w + 441. Let p be o(49). Solve 3*g - 42 + 48 = p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2423522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b - 4. Let z be s(5). Let q(g) = -g**3 - 8*g**2 + 10*g + 13. Let i be q(z). Suppose 2*n = -i*n + 834. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 394 - 393.5. What is the closest to 0.5 in -1, 2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32b9 (base 13) in base 10?\nAnswer: -7081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1048*y**3 + 1880*y**3 + 7681*y**3.\nAnswer: 8513*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 16281.6 + -16282. Let c = -0.01 + 0.22. Put c, v, 3 in ascending order.\nAnswer: v, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6093 + 6077. Let x(t) = -2*t**3 - 31*t**2 + 15*t - 19. Calculate x(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2119 - 2108. Suppose 0 = s + 5*i + 4, -i + 14 = s + 2. Let y = s - z. Calculate the highest common factor of y and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15.00064 + -15. Round p to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 54*o**2 + 19*o + 89. What is the tens digit of g(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2.39 (b) 5\/4 (c) 3 (d) -0.77 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*p**2 + 0 - 3 - p**2 - 6*p**2 to the form h + f*p**2 + l*p and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24595037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxwwxxhhwwxwxw. Give prob of sequence hxx.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977292097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636 divided by -11.\nAnswer: 636\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/3010 and -79\/453650.\nAnswer: 3175550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(2\/16*-2). Find a, given that l*a + 2\/3*a**3 + 8\/3*a**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 6*y**2 - 4*y + 1. Let z(c) = c**2 - 10*c + 17. Let l be z(8). Let x be (-6)\/(l - -3*(-2)\/(-12)). What is the tens digit of i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5068 greater than 2994\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 160 = -5*q, -q + y + 116 = 3*q. Let t be (-14)\/3 - q\/(-42). Suppose -h - 1 = 2. Sort h, t, 0 in descending order.\nAnswer: 0, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -303113301 + -223?\nAnswer: -303120130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5461 - -8.84?\nAnswer: 7.2939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3705 minus -0.43?\nAnswer: -0.9405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-90)\/27)\/((-1)\/3). Let s = z - 22. Let n be (2 - (-100)\/(-54))*s\/(-8). Which is the second biggest value? (a) n (b) -1\/2 (c) 4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.0236, -1.2 in descending order.\nAnswer: 0.0236, -0.4, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**3 - f**2 - 2. Let l(b) = b**3 + b**2 - b. Let d = 5 - 6. Let y(j) = d*r(j) + 2*l(j). Let s be y(2). Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 3)*(j - 4*j + 5*j) + 0*j - 3*j + j + 0*j - j + 2*j)*((-3*j**2 + 0*j**2 + 6*j**2)*(j + 3*j - j) + 0*j**3 - 5*j**3 + 3*j**3).\nAnswer: 21*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001829697 rounded to five dps?\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(325))*1 + 1.\nAnswer: -1 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 24*t**2 - 23*t + 7. Let b be d(23). Suppose b*o - 2*o = 4*x + 7, 2*x + 2*o - 10 = 0. Solve -x*y + a = -5*y + 4, 0 = 4*y - 5*a + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 16.24543 meters?\nAnswer: 16245.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdh when three letters picked without replacement from hghds.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a - 19 = -3*f, -3*a - 33 = -3*f. Let w(i) = -i**3 - 2*i - 2. Let y(n) = -4*n**3 - 7*n - 7. Calculate a*w(k) + 2*y(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4 - 4 = 0. Let c(m) = -2*m**2 - 2*m + r*m. Let j(n) be the first derivative of n**2\/2 - 1. Calculate c(j(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1164 + 0.3564. Let v = 2.16 + -1.9. Let f = v + s. Which is the third biggest value? (a) f (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -700.8+-7205\nAnswer: -7905.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50491 = p - 6*p + 4*m, 50455 = -5*p - 5*m. Is 10\/35 + p\/(-21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*d - 5*h, -2*d = h + h + 16. Let w be 3 + (d - (-5 - -1)). Let n be w + 3 + -5 + 5. Solve 0 = -3*o - 2 - 7, 0 = 5*v + n*o + 17 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = p - 4*p + 2, 0 = -3*p - 2*j + 16. Let s(o) = 57*o + 34. What is the hundreds digit of s(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -1, -47, 2, -3, -2 in decreasing order.\nAnswer: 33, 2, -1, -2, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 30434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, -13, -2, 0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -558*g - 16. What is v(-1)?\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o - 91 + 25 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 144*u + 370. What is the thousands digit of y(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -590*u - 112. Let w(r) = -2*r. Give w(p(f)).\nAnswer: 1180*f + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2. Let i(a) = -57*a**2 + 7. Let j be -28*(-3 + 55\/20). Let v(r) = -542*r + 5 - 38*r**2 + 542*r. Let o(w) = j*v(w) - 5*i(w). Calculate c(o(k)).\nAnswer: 722*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f*f\/(f\/(f*f*f*f*f**0)))\/f*f))**(2\/15)\/(f*f**(-1\/3))**(4\/5))\/(f*f**(6\/13)*f*f*f\/f**(2\/7))**(-15) assuming f is positive.\nAnswer: f**(84226\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from {t: 1, p: 2, h: 1, x: 1, z: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 - -3) - (0 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 17*f**2 + 3*f - 23. Let d(a) = -51*a**2 - 9*a + 68. Let j(g) = 2*d(g) + 7*k(g). What is the second derivative of j(o) wrt o?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*c + 1 - 51*c + 1881*c**2 + 3862*c**2 in the form r + k*c**2 + h*c and give k.\nAnswer: 5743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -18 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 0.027, 2\/17, -3, -4, -34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*120986\nAnswer: 241972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 6751736*s\/7 - 5698242376712\/7.\nAnswer: -2*(s + 1687934)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w**2 + 8*w - 4. Let k(m) = -7*m**2 - 7*m + 3. Let h(q) = -4*d(q) - 5*k(q). What is h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 2 - 1)*(0*z + 4*z - 3*z) + 1 - 2*z - 1)*(15627*z**2 - 7803*z**2 + 11 - 7798*z**2) in the form w + k*z**2 + r*z + g*z**3 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 8*a - 85 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1326*n**2 + 26*n - 29. Let o(q) = -3983*q**2 - 78*q + 87. Let k(a) = 3*o(a) + 8*r(a). What is the second derivative of k(d) wrt d?\nAnswer: -2682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*o = -322. List the prime factors of o.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -19*i - 205. Let m be r(-11). Solve m = q, -q = -5*l - 0*q - 24 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(5\/(-15))\/((-5)\/3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*4\/10*-4. Calculate the remainder when (-2036)\/(-12) - x\/12 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 1307552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 8772987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 3*f - 6*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/45*6\/7*1.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o. Let d(w) = -318080*w**2 - 2*w. Calculate b(d(i)).\nAnswer: -2226560*i**2 - 14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6168259598512 - 6168261536953.0000015. Let r = l + 1938438. Let u = r + 3. Round u to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.09 - -4.91. Let i = 460 + -455.33. Let u = i + -4.67. Which is the smallest value? (a) 14 (b) f (c) -4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-12) - -1)*(7 + -4). Let g(q) = -q**3 - q**2 - 1. Let u(y) = 15*y**3 + 2*y**2 + 2. What is a*u(k) + 2*g(k)?\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*l*u**2 - 54*l*u + 16489461*l + 4240*u**2 wrt u.\nAnswer: 16*l*u - 54*l + 8480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6.85149*-0.8\nAnswer: -5.481192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3 = -3*s, -88435 = -m - s - 88446 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14690*k**2 + 5876.\nAnswer: -29380*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(6\/(-3))*-2. Suppose 4 = x*w - 0*w. Solve -2 = w*g - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/(g\/(g*g**8)))\/(g**21\/g**(-2\/43)) assuming g is positive.\nAnswer: g**(-346\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 408*c**2\/5 - 1467*c - 9350.\nAnswer: (c - 22)*(c + 5)*(c + 425)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 * 0.24\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.05, 10, 26.8?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, m: 2, z: 4, r: 1, n: 1}. Give prob of picking 3 z.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3*p = -37, 337*p + 13 = -n + 335*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18292064*y**2 + 2*y + 147086944 wrt y.\nAnswer: -36584128*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 3690919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 85, -0.42?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -7. Let w be (8 + -5)*p\/(-2). Let b be w\/1*4\/42. What is the nearest to 1\/2 in -3\/4, b, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:19 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 27\/(-18) - (18305\/(-10))\/7. Solve 2*b - a + 270 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 81. Suppose -v = -9*n + 6*n + 11288, 2*v + z*n = -22616. What is v rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3375078 or 3375082?\nAnswer: 3375078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*n + 138 = -56*n - 72*n. Which is the smallest value? (a) 10 (b) n (c) -106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152)\/sqrt(32) - sqrt(19)) + 3)*-4 - 6*(-2 + (sqrt(57)*1)\/sqrt(3)))*4.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkcmmbcbkcbk. What is prob of sequence bbbc?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78989.\nAnswer: 78989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 871786.2246 to the nearest ten thousand.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 117*y. Let w(c) = 344*c + 13. Give a(w(r)).\nAnswer: 40248*r + 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 5:16 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/20 + 9\/4. Let q(d) = -d**k + d**2 + 0*d**2 + d**2. Let g(a) be the first derivative of -a**2\/2 - 3. What is q(g(h))?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/4 - 1065*g + 4272.\nAnswer: -3*(g - 4)*(g + 1424)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdtcsttttttstdts. Give prob of sequence tctt.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - -10) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 751644 and 10.\nAnswer: 3758220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126466938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1207, -2641, -4075, -5509, -6943?\nAnswer: -8377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((227934\/737)\/27)\/((-6)\/(-231)*7)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 20 = 2*f. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 6:26 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 248, 252, 258, 266, 276, 288?\n\"Answer: g**2 + g + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*s = 52, 107*n + s = 108*n - 26. Calculate the remainder when 1506 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -323 - 450 + 774 - 4*t**3 + 3*t**3 - 2470*t + (-4*t - t**2 + 4*t)*(-2*t + 4*t - t).\nAnswer: -2*t**3 - 2470*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 169447 >= 169433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*b**4 + 33*b**4 - 2*b**3 + 30086*b - 30083*b + 2 - 93*b**2 in the form u*b**3 + n*b**2 + i*b + g*b**4 + v and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/9 + 3\/9. Suppose 0 = 14*i - n*i - 640. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007349 rounded to seven decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g + 145 - 60*g + 25*g + 19*g as i*g + l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j = -19*j + 4*n - 46, 21*j - 8*n = 16*j - 47 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mccm when four letters picked without replacement from mqccccmwmq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 195728604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 19*u**6\/120 + 13*u**5\/60 - 5*u**2. What is the third derivative of v(w) wrt w?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 2\/15, 0.3, 3.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32848 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47 + 36*d + 18 + 57 - 33 wrt d.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 15 + 6 = 0. Suppose 2*g - k*g + 15 = 0. Let 2 - i**2 - 4 + g = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*k - 57 = -6*k, -2*c + 44 = 5*k. Let y(s) = s**3 - s**2 - 2. Suppose 0 = 4*u + 1 - 9. Let j be y(u). Solve -5*z - j = -c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -910.108 + 916. What is n rounded to one dp?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111111101111101010 (base 2) in base 10?\nAnswer: -523242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1122 + -1110. Suppose 3*x + x = -24. Let h = x - -14. Calculate the least common multiple of h and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 782 - 394 + 3*n - 387. Suppose -22 - 12 = -17*g. Let x(l) = -4*l - 2. Give g*x(z) + 3*s(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c2 (base 13) in base 7?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64873962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/105)\/(2\/(-7))*4. Suppose 2*r + n = -11, r + n + 15 = -a*r. Find the common denominator of -43\/18 and 5784\/(-720) - (r + -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-7 - 2) + (3 - 3). Let i be ((-2288)\/33)\/(((-16)\/2550)\/j). What is i rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -0.4, -274344 in descending order.\nAnswer: 56, -0.4, -274344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3*-520.5\nAnswer: 1561.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000110111110100 (base 2) to base 6.\nAnswer: 13112404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 - 56*w**3 + 220*w**2 - 168*w = 0. What is w?\nAnswer: 0, 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 79001*m**2 + 2*m + 1. Let a be c(-1). Round a to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 19. Solve -6*l = -4*q - l, m*q - 4*l = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4926713 < 14780141\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-108)\/(-162))\/(1*2\/(-6)) + 7. Solve 5*z - 20 = 0, a = 4*h - 4*z + 25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-3))\/(5\/(-15)). Let s = f - -16. Let h be (-125)\/((-18044)\/4512 - s). What is h rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**9*f)\/f)\/(f*f**11)*(f**(2\/11)\/f)**(-8) assuming f is positive.\nAnswer: f**(39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x. Let g be k(1). Let b = g - -11. Suppose 5*q - 7 - b = 0. Solve 0 = l - q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 36 - 12. Suppose -3*g + n = 1. Suppose 0 = 2*f + 3*f - 5*s - 25, 0 = -f - 5*s + 5. Solve -f*z + 30 = -g*v, -v - 4*z = -8 + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 9*w**2 - w - 8. Let a be p(-5). Suppose -20 = 5*m, -4*c - 3*m - a = -5*c. Solve -3*d - c = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - 408*i + 9899. What is n(27)?\nAnswer: 1070","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001112 - 100121?\nAnswer: 200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 2 - 2*b - 2*b - 2*b**2 + 2*b**2. Let c be w(6). Solve 5*m + c = -5*p, p - 4*m + 4 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(21)\/(sqrt(49)\/sqrt(7)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13154483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61641298 to the power of 1\/2, to the nearest integer?\nAnswer: 7851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.116119 smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 12:51 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v - 3*l - 18, 0 = -3*v - 3*l - 6. Let z be ((-1396)\/8)\/((-1)\/v). Suppose 0 = 4*d - z - 99. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/6 - 21*r**2\/2 + 2*r + 31. What is the derivative of g(w) wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 507439 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507 take away -29?\nAnswer: 3536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**6\/180 - j**5\/15 + j**4\/4 - 38*j**3 - 17*j**2. Let s(g) be the first derivative of o(g). Factor s(c).\nAnswer: 2*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from trrttetttt?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 82130713 and 0.2.\nAnswer: 16426142.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -262 + -230\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*i + 6. Let r be i\/(-24) + 34\/40. What is the third biggest value in r, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000761698586 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2727107 (base 8) to base 3.\nAnswer: 1102220002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/50)\/((-11)\/(660\/(-18))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 602648?\nAnswer: 1807944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**6\/2 + 7*u**5\/5 + 3*u**4\/2 - 22. Suppose p(b) = 0. What is b?\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quavhj. What is prob of sequence haq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 12*x + 3. What is the smallest value in x, 1\/7, 2\/13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 90 = 0. Let a = -152 - -38. Let w = a - -129. Calculate the highest common factor of x and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*z**2 + 178828*z + 59610 = 0. Calculate z.\nAnswer: -1\/3, 29805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100003002 (base 4) to base 15.\nAnswer: 14720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h - 36. What is the lowest common multiple of 14 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 8 = -2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 324079.77194 from -0.9.\nAnswer: -324080.67194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 12*w**2 - 26*w + 32. Let l be s(-14). Put 6, l, 0 in descending order.\nAnswer: 6, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36871451 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let l(d) = -d**2 + 28*d + 32. Let u be l(28). Let g(o) = -u*o - 4*o - 12*o - 13*o. What is g(r(j))?\nAnswer: 61*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4)*(-3*q**2 - q**2 + 5*q**2).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xox when three letters picked without replacement from {s: 1, j: 1, o: 2, x: 1, q: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14504 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3594129193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064486825 rounded to four dps?\nAnswer: 0.0645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*u + 9*u + 12*u to the form k*u + c and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.03 + 17. Let q = -0.4 - -0.47. Let j = s - q. Is j greater than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 3. Let r(y) = -239*y - 17 + 63 + 234*y. Let x be r(10). What is the nearest to s in x, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 1, -0.3, 0.4, 4\/4175 in descending order.\nAnswer: 3, 1, 0.4, 0.2, 4\/4175, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -103\/25?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5\/9 - 208*a**4\/9 + 38*a**3\/9 + 7976*a**2\/9 + 15011*a\/9 + 7280\/9 = 0.\nAnswer: -208, -5, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98)\/10)\/(2793\/(-5985)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**2 + 81*o + 125. Calculate the remainder when 3836 is divided by t(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znnnnnnnnnnnznnzzn. Give prob of sequence nnzn.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 27*u**2 + 24*u - 28. Let o be p(-28). Suppose 0 = -o*c + 69*c + 8025. What are the prime factors of c?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087 divided by -4?\nAnswer: -1087\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/77)\/r)\/r)**(1\/2)\/(r**(-2\/179)*r*r**(-23)) assuming r is positive.\nAnswer: r**(289418\/13783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 25 - 14)*(-6*c + 5*c + 5*c + (-4*c + 4*c + 2*c)*(-3 + 0 + 4) + 7 + 7*c - 7).\nAnswer: -559*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express -727*j**2 - 132*j**2 + 170*j**2 - 943*j**2 - 5*j**2 in the form t*j**2 + b*j + w and give t.\nAnswer: -1637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 6. Let l = b - -2. Solve -1\/2 + 1\/2*a**l - 1\/2*a + 1\/2*a**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*1*(-8)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 4*h - 4*h. Let z(t) = -t**2. Let k(f) = 2*f**2. Let b(d) = 3*k(d) + 5*z(d). Give b(c(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123121 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9871*n**3*q + 396*n**2*q - 6*q - 2 wrt n.\nAnswer: 59226*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 16. Let u be (-1)\/g*(-36)\/(-12). Solve -w - 2*y - 1 = u, 3*w = -5*y - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 12:00 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 254853.3 hours in milliseconds?\nAnswer: 917471880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in minutes?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -33 - (1 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 11:03 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -2 (c) -13 (d) -4.77 (e) -0.1 (f) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90937 is divided by 199?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 5*a - 11, 4*b + 31 - 21 = 2*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -7*q**6\/6 - 21*q**5\/5 - 196*q**2 - 206. Find the second derivative of u(t) wrt t.\nAnswer: -140*t**3 - 252*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*n - 403*n = -169323. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, -13, -0.4 in descending order.\nAnswer: 4, -0.1, -0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndsf when four letters picked without replacement from {n: 1, d: 1, s: 1, f: 1, h: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s*s\/(s\/s**(-9))*s)*s)*s\/s**(1\/7))\/(s**(-4\/15)\/(s\/((s*s**8*s*s)\/s))) assuming s is positive.\nAnswer: s**(-1562\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(7\/((-35)\/10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 2, -23?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -141. Is 26 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -13246542.\nAnswer: -13246542, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -109, -103, -95, -85, -73?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563796.\nAnswer: 2, 3, 15661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (-4 - -9) + -5 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1 (c) -3 (d) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7579417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a**2 + 113*a - 51 = 0 for a.\nAnswer: 51\/62, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301625987, -301625988, -301625989, -301625990, -301625991, -301625992?\nAnswer: -301625993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16*(-17)\/1360)\/((-6219)\/(-10)). Is t at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -12. Let q = w - -6.4. Let b = -0.09 + -3.91. What is the biggest value in q, -0.3, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i**5 + 8 - 6*i**3 - 17*i**3 - 20*i + 64*i**4 + 7*i**3 - 72*i**2 = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 7*m + 16. Let w be (-1 + 0)\/(m\/32). Solve -3*l + 15 = w*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 809766\/13 + -62232. Let t = 2\/54477491 + -1550483872339\/26911880554. Let j = t + n. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + 2*k - 1. Let i be o(1). Let t be (-14)\/i*(-9)\/(-21). Solve a = 2*y + 3, 0 = -t*a + 2*a - 3*y + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -2*(-18)\/3. Let x be ((-99)\/27)\/(2\/o). Calculate the greatest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -4\/9, -1.0451, -1, 93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 1509872\/6)*6\/84. Let b = q - -17979. What is the common denominator of 103\/132 and b?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 236700 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26, 26, 34, 56, 98, 166, 266, 404?\n\"Answer: o**3 - 2*o**2 - o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(5\/4) - -4. Solve 5*w = -2*i + 30, b = -6*w + 3*w + 4*i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + -2*sqrt(2736))**2 + (sqrt(1216)*1*3)**2*-5.\nAnswer: -10880 + 768*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 11.5. Let w = g + 4. Which is the third smallest value? (a) w (b) 5 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 2098227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -101 + 352. Let b = y + -75. Calculate the greatest common divisor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109250390 rounded to the nearest 10000?\nAnswer: -109250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 63600 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (21\/42)\/((-2)\/34)*2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5 = -1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(16\/4))\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 27 + -13 + 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z - 220 = 42*z - 99*z for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 58. What is the second derivative of 4*n + 37 + a*n**3 - 37 - n wrt n?\nAnswer: 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 177\/12 + (-1)\/(-4). Let s = -11 + 11. Suppose -3*m - 15 = -s*m, -4*m + 430 = 3*f. What is the greatest common divisor of a and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 0.09, -6\/85, 3\/7, 16?\nAnswer: -6\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 2. Let l(q) = -39*q + 27. Let w = -59 + 32. Let b(m) = w*k(m) - 2*l(m). Let f(a) = -a. Determine b(f(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**3 - 7. Let z(c) = 7*c**3 - 6. Let a(x) = 6*w(x) - 7*z(x). Suppose -24*p + 46 = -26. Calculate a(p).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53391167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/5959 and 113\/142898?\nAnswer: 14432698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.92 + -2.92. Which is the second smallest value? (a) -4 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 751 divide 11978450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 6*t**2 - 6*t. Let l(u) = -2*u + 11. Let k be l(8). Let j be n(k). Which is the nearest to 2\/5? (a) j (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34387 and 1507?\nAnswer: 378257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y + 0*y + 432 + 376*y**2 - 378*y**2 to the form r*y**2 + i*y + o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g + 10*g**2 + 3\/8*g**4 - 1\/5*g**5 + 0 + 0*g**3. Find the second derivative of x(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 20*j**2 - j. Let g be h(-1). Let x be 4\/(-22) + (-171)\/(-33). Suppose -149 - g = -x*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 10*m**2 - 9*m + 5. Let j be u(9). Suppose 22 = 10*n + n. Put j, -7, n in ascending order.\nAnswer: -7, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 355 + 233. Let k be ((-2450)\/455 - -4)\/((-15)\/130). Calculate the highest common factor of k and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1. Let p(c) = -76*c - 8. Let t(k) = -p(k) + 10*w(k). Does 13 divide t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-43004)\/(-14))\/((-3)\/(-21)). Suppose 6*w - 10*w + 4*j = -21520, 5*j - h = -4*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1))\/(-6)*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*((sqrt(448) + 2)**2 + -3 + -1).\nAnswer: 160*sqrt(7) + 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, r: 7}. Give prob of picking 1 j and 1 r.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 3*s + 3171 - 3171.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2\/7 (b) 2\/13 (c) -0.7 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-14) - -1 - 1\/(-7). Let l(b) be the second derivative of 0*b**4 - 1\/10*b**5 - 3*b + d*b**2 + 1\/3*b**3 + 0. Find z such that l(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/6 - 256800*g + 1540801\/6 = 0. Calculate g.\nAnswer: -1540801, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1216)*1 + -2.\nAnswer: -2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (-9 - (-1 - (13 + -18 - (-13 + 2))))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t - 5 + 2\/3*t**3 + 3\/2*t**2 - 1\/4*t**4. Determine q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 10:34 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6843 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v + 18*v - 5*v. Let i(o) = -4*o**2. What is d(i(y))?\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 5\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2. Let t(c) be the second derivative of -c**3\/2 + 100*c - 1. Determine w(t(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 68608\/7 and -152\/35 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*j, -2*j + 5 - 1 = d. Suppose d = -4*v + 13 + 27. Solve 0 = -18*b + 23*b + v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -229250000 to the nearest 1000000.\nAnswer: -229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1240021, -1240065, -1240109, -1240153, -1240197?\nAnswer: -1240241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380061 and 52885017?\nAnswer: 3141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((6*-1)\/((-9)\/2))\/(96\/(-432)). Which is the closest to 13? (a) -4 (b) 2 (c) v (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47633 + 190527\/4. Let b be (6\/44)\/(6\/8). What is the closest to b in y, 3\/7, -5, 64?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*s - 59*s - 160. What is the highest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 41.18329g?\nAnswer: 0.00004118329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (45 + (-2 - 16))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (529\/15870)\/((-8)\/10)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-143)\/(-24) + 7689\/216 + 12\/27.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 8*h - 5*u + 9 = 0, 1 = -2*h - 3*u. Put -482, -5, h in descending order.\nAnswer: h, -5, -482","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(243) + -2)**2 + -4 + 3) - (sqrt(144)\/(sqrt(64)\/sqrt(8)))\/(sqrt(72)\/(1*sqrt(12))).\nAnswer: -145*sqrt(3) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 576029569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzmzzmzzmjzz. Give prob of picking 1 z and 2 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 351.0241 centuries?\nAnswer: 3510.241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 186478394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 + 13*p**2 - 672*p + 672*p - 17*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:41 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n + 1. Let j(i) = 14*i - 3. Suppose 0*a - a + 2 = 3*v, -4*v - 34 = -2*a. What is a*o(u) + 4*j(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from ylnnlj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -563 or 35.1?\nAnswer: 35.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 290\/58 - (-3)\/((-9)\/51). Let q(v) = 12*v + 138. What is q(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-1 + (-1 - -3)). Suppose 0 = -4*f - u*f. Let w be 6\/(-8)*(f + 4). Let d(m) = -m**3 - 5*m**2 - 5*m - 4. Give d(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -27. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -502, -635, -986, -1663, -2774?\n\"Answer: -18*f**3 - f**2 - 4*f - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 350229663, 350229660, 350229655, 350229648, 350229639, 350229628, 350229615?\n\"Answer: -t**2 + 350229664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00067081519 to 5 decimal places.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47022 - 47002.7. Is p < -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 10. Let x be p(7). Let l be 3 - (-1 - (x - -1)). Find the second derivative of q + 0*q**2 + 0*q**l - q**4 - 7*q**4 wrt q.\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 162182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 - 2*j**3 + 2*j**3 + 52608*j - 52608*j + 2*j**3 - 6*j**2 to t*j + v*j**3 + x + z*j**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-53 - -15) - (-20 - -25)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(-3*sqrt(10) + sqrt(10))*-6.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 13. Which is the second smallest value? (a) 5 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4685568*j**2*u**2 - 4*j**2*u + 189*j*u**2 + 8*j - 212*u**2 wrt j?\nAnswer: -9371136*u**2 - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 516722, 516444, 515686, 514208, 511770, 508132, 503054?\n\"Answer: -40*l**3 + 2*l + 516760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47423068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**3 - 99*i**2 - 105*i + 93. What is r(34)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 - 8786*z + 22462*z + 14907*z + 66315*z + 8*z**2.\nAnswer: -5*z**3 + 8*z**2 + 94898*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 45*c + 0*c**5 + 0*c**4 + c**3 + 0 - 7\/15*c**6 - c**2. Find the second derivative of r(o) wrt o.\nAnswer: -168*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341070587?\nAnswer: 11, 13, 31, 47, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 8*x**2 - 9*x + 8. What is the remainder when b(-8) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 632 + -644. Let n(o) = 9*o - 3. Let b(j) = j + 1. Let r(w) = 4*b(w) + n(w). Let l be r(-1). Are h and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 5:31 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/5))**(33\/4)\/(s*s\/(s\/s**(-2\/3)))**29 assuming s is positive.\nAnswer: s**(-191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100110010000011 - 1001001?\nAnswer: -101100110011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -326*p**3 + 651*p**2 + 10*p - 14. Calculate k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 2*p)*(-7*p + 25 - 25 + 3*p - 3*p + 2*p + (0 - 3 + 4)*(-1 + 2*p + 1)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 270 and 1070.\nAnswer: 288900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**6*l - 6*b**4*l - 13*b**3 - 4*b**2*l + 2*b*l - 2*l wrt b?\nAnswer: -120*b**3*l - 144*b*l - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/3)\/g)\/g)\/(g*g**0)*g**4\/(g\/g**8))**23 assuming g is positive.\nAnswer: g**(575\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 24*i**2 - 44*i + 32. Let s(h) = -h**2 - 6*h - 9. Let z be s(-5). Let d be (14 + -5 - z\/(-1))*-5. Is n(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -142708, -142711, -142714, -142717, -142720?\n\"Answer: -3*z - 142705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4782531, 9565044, 14347557?\n\"Answer: 4782513*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*q + 26. What is the greatest common divisor of q and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -540432 minus -0.2?\nAnswer: -540431.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-8)\/6 + -2 + -1. Let u(g) = -10*g**2 + g. Determine u(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26299 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067714581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7884 + 7914. What is the remainder when 272 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 78?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2) - 535\/4. Let w = p + 134. Let x = 0 + 0. Which is the third biggest value? (a) 2\/3 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 t, and 1 a when three letters picked without replacement from amatatmnnatmmamntnna?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*k - 96 = 0. Suppose 2*r - 3*p + 6 = 5*r, -4*p - k = -4*r. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*o - o. Let u be (0 + -1)\/(2\/(-4)). Suppose u*s + s = 30. Solve 24 = 2*m + 5*z, -o*z = -3*m - 3*z + s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32411 is divided by 315?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert b95018 (base 12) to base 5.\nAnswer: 1222314221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*c + 143*c - 16. What is the nearest to 9 in 3, 1.2, c, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 + 135. Let t be (3\/9)\/((-60)\/g). Suppose -u = 3*u - 4. Is t equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -11*f - 15*l + 13, -3*f - f - 5*l = 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 + 7*u**2 - 2*u**2)*(-u - 2*u + 5*u) + 4*u - 4*u + u**3 + (-3*u + u - 4*u)*(u**2 + 1 - 1) to f + t*u + m*u**3 + v*u**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000832 to five dps.\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 - (0 - -14 - 22)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-3))\/(34\/3009) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1387\/66 - 125\/6. What is the nearest to 0.3 in w, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1*((-64)\/(-12))\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -10. Let q = 54\/5 - 11. What is the nearest to u in 4, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*g - 2. Suppose -p - 7 = 3*o, -p + g*p + 5*o = -28. Let s be (1 - -73) + (-7)\/p. Calculate the highest common factor of s and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-11)\/t)*t**(-5)*(t\/(t\/t**22)*t)\/(t*t**(-1\/11)) assuming t is positive.\nAnswer: t**(320\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, u: 4, c: 5}. Give prob of sequence uuuc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.01 (b) 12\/5 (c) 0.1 (d) 2\/11 (e) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/(c*c\/(c**(-2)\/c)))\/c)**(-5)*c**(1\/15)*c**6)**(9\/7))**42 assuming c is positive.\nAnswer: c**(8388\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-714)\/72)*5\/((-15)\/(-6)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-18) + (-528)\/(-54). Let p(w) = -15*w**2 + 5*w**2 + 11*w - 9*w - x + w**3. List the prime factors of p(10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 - 9*n + 5. Let h be v(-3). Let l = -1928.1 + 1928. Which is the biggest value? (a) 20 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-830)\/(-25) - (-1)\/(-5). Let q = 37 - c. Is 25 a factor of q + 29 + -4 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(119) - (sqrt(119) + sqrt(119) + sqrt(119)*2 + sqrt(119))))\/((sqrt(42)\/sqrt(2))\/sqrt(3)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*m**2 - 150*m**2 - 152*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2423*p**2 + 8686*p**4 + 256 - 4126*p**2 + 466*p**2 - 258 wrt p.\nAnswer: 208464*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iljp when four letters picked without replacement from {p: 1, i: 3, o: 1, m: 4, j: 1, l: 4}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r - 39. Let w be u(-20). What is the least common multiple of w\/((-18)\/(-4)) - (-352)\/36 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26490 and 26691324?\nAnswer: 133456620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -579072 + 4053530\/7. Factor 0 + 8\/7*y + 2\/7*y**5 - a*y**2 + 30\/7*y**3 - 2*y**4.\nAnswer: 2*y*(y - 4)*(y - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 - 3*d - 10. Let a be y(-3). Let c be (-3164)\/(-21) - (-2)\/6. Suppose 2*m - 4*m - 3*h = -c, -h + a = 2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -416 + 558. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411103439.\nAnswer: 79, 5203841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.1, 46\/9?\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/103323 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 920933 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/4 - 5717*a**4\/4 - 2040588*a**3 + 6260495*a**2 + 179693800*a - 368082000 = 0?\nAnswer: -2860, -9, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20049391.5 rounded to the nearest one thousand?\nAnswer: 20049000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/80 of a day?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -5 (b) -0.06 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 3*t + 0*t)*((736 + 1684 - 1426)*(-t - 4*t + 3*t) - 3 + 3 - 2*t).\nAnswer: -11940*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18662 and 1925497?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 6*q**2 + 2*q - 6. Let d = 394 + -385. Let c be 3\/((0 - d\/15)*-1). Calculate u(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 11:40 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -9. Suppose -4*c + 45 = -5*o - 10, 4*o = -c + 40. Calculate the smallest common multiple of i and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/6337, -726?\nAnswer: 2\/6337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 8*n - 18. Let y be c(-6). Let u be 1\/2*y\/(-3). Let l(a) = a**2 + a + 1. Let q(j) = -6*j + 5. Let v(x) = u*l(x) + q(x). Calculate v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 0.03 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 5. Suppose 3*c - 11 = 1. What is the least common multiple of c and (-32)\/(-3) - (-2)\/q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.071 in -75\/7, -27, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.87 - 0.13. Let k be (12\/(-8))\/(-1 - 2). What is the smallest value in m, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32256, -128904, -289948, -515388, -805224, -1159456?\nAnswer: -1578084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 25*n**2 + 30*n - 1. Is c(24) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.4. Suppose 51 = -2*w - 219. Let v = w - -1753\/13. Which is the third biggest value? (a) v (b) 0.3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 9*x - 3. Is 2 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/6)\/((-46)\/(-69)). What is the closest to z in -5, -2\/5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1 + 5 - 4 + 2*d + 5. Let u be f(-6). Let y be (-1)\/(5*(-1 + 2)). Sort y, 2, u in descending order.\nAnswer: 2, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.5 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(119)*3*-3)\/(sqrt(56)\/(sqrt(48)\/sqrt(6))) + 2.\nAnswer: -9*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 39 = 376. Let t = a - -126. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 637\/66 + 63\/44. Calculate the common denominator of t and -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 1, 0.024, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/15, -0.026, 0.2, 0.382?\nAnswer: 0.382","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*p**4 - 2*p**2 - 201*p**4 - 5*p**4 - 2*p**3 + (-3*p - 2 + 2)*(p**3 + p**2 - p**2).\nAnswer: -357*p**4 - 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 164361569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 114, -3\/37, 4 in ascending order.\nAnswer: -0.5, -3\/37, 4, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -8*y**2 + 491*y - 928. Determine p(59).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-236)\/590)\/((-18)\/3600)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xve when three letters picked without replacement from vxaevexxevexe?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + p + 20, -2*p - 4 - 6 = 0. Suppose o + 15 = 6*o + 2*s, -2*o = s - 5. Sort o, t, -4 in decreasing order.\nAnswer: o, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 478610 - 159532 - 159541 - 159537 - 23*b + 2*b.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 2:44 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26755 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 3, -1, -3, 2063, 21 in decreasing order.\nAnswer: 2063, 21, 5, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 2*s - 89, -64024*s + 64022*s = -5*g - 127 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + -37. Let w = b - -49. Suppose w*j + 23 + 17 = 0. Put 3, 0, j in increasing order.\nAnswer: j, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16a (base 12) to base 3\nAnswer: 22101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -1\/5 (b) 196 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*1*sqrt(832)*1*4 + -2) + -4)**2.\nAnswer: 11520*sqrt(13) + 4313188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 3*a - 12. Let k(h) = h**3 - 6*h**2 + 6*h - 2. Let q be k(a). Calculate the remainder when 39 is divided by ((-84)\/q)\/((-3)\/((-30)\/4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*v = -10, 13*a - 27*v + 30 = -25*v - 18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.8 - -22.8. Which is the second smallest value? (a) r (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 10 = 4*g, -g - z = 3*z - 8. Let w be (6\/4 - 1)*g\/2. Solve h = -w*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t**2 + 67*t**3 - 126*t**3 + 3*t**4 - 3*t**2 - 69*t + 71*t**3 + 15*t.\nAnswer: 3*t*(t - 2)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 - -0.45. Let w = -10431 + 41727\/4. Which is the fourth smallest value? (a) h (b) -0.4 (c) -1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-396)\/(-462) + 40\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k = -4*p - 60, 3*k + 4*p - 11 + 71 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 7 + 5*u + 0*u**2 + 3*u**2 - 3*u**2. Let p be y(6). Suppose -1 = 5*o - 3*s + 1, 3*o + 4*s = 22. Do p and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 - 0.49. Which is the nearest to -1? (a) 1\/4 (b) h (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243.131 milliseconds in microseconds?\nAnswer: 1243131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 35*o**3 - 2128*o**2 - 461*o + 2036. What is a(61)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 2:26 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20807\/57420 + 2\/1595. Find the common denominator of b and -10\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 7 + 7)*(-1 - 2 + 5) + (-5*j**2 + 3*j**2 + j**2)*(-2 + 4 + 0) + (2 + 0 - 4)*(122*j - 62*j - 62*j)*(1 - 3*j - 1).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1299310.9 and -0.2?\nAnswer: -259862.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:39 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0\/(i**(1\/12)*i)*i**(-2\/15)*i*i**(1\/2) assuming i is positive.\nAnswer: i**(17\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*d - 20*d = 714 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 + 20. Let c(y) = -1705713*y**2. Give w(c(a)).\nAnswer: -14547284191845*a**4 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.4 and -7?\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 433.\nAnswer: 433.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.7 - 31.6. Let i = -13 - -18.8. Let r = g + i. Is r greater than -23\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 37 = 2*p + 5*k, -5*k = p - 31. Suppose 0 = -3*s - 5*x + p, -s - 2 = x - 4. What is the highest common divisor of s and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38230 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2006682 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 - 539528*g**2\/7 - 61706878*g\/7 + 2524940 = 0. What is g?\nAnswer: -38423, -115, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/27 (b) 218 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2 = -5*t. Suppose -2*y + 4*r + 12 = 0, 4*y + r = t*y - 3. Suppose 4*h - 196 = -5*x + 59, y = -4*x - 5*h + 204. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2769 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -5, -9, -3\/7, -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 284*b - 1.\nAnswer: -284*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - 104. Suppose 121*o - 125*o = 4. Sort b, -8, o in increasing order.\nAnswer: -8, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73666464 and 32229078.\nAnswer: 515665248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 3*l = 6*j + 168805, 2*l - 10 = 0. What is j rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 34*i - 380 = 0. Suppose -13*x + 80 + i = 0. What is the units digit of -1 - (-940)\/x - 2\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5\/7 + 36*a**4 - 492*a**3\/7.\nAnswer: -3*a**3*(a - 82)*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 3*y - 3. Let c(t) = t**2 - 6*t - 6. Let m(s) = -3*s**2 + 13*s + 13. Let j(g) = 5*c(g) + 2*m(g). Give -6*b(v) + 5*j(v).\nAnswer: v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:29 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 1. Let n be d(5). Suppose n = f - 0. Solve 0 = -f*a - 4*o, -3*o + 8*o = -4*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 1, z: 1, h: 1, q: 1, y: 2}. Give prob of picking 1 v and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 w when four letters picked without replacement from {w: 1, v: 3, o: 2, x: 3, u: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -142971 at least -142971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*o - 141*o - 774 = 74*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*g - 7206, -4*y - 2*g + 214 = 9816. Let v = y + 48007\/20. Find the common denominator of v and (35\/40)\/(2\/10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 255*c - 2466. What is r(10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-24)*72\/48?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = -2*n, -4*n - 3*z + 2 = -3. Let u(r) = 27*r - 1. Is u(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u**2 + 25*u + 6. Let x(s) = 8*s**2 + 25*s + 7. Calculate 5*q(d) - 4*x(d).\nAnswer: 18*d**2 + 25*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 + 96. Suppose n + n = 0. Suppose 4*m + 0*w + s*w - 1144 = 0, 3*m + 2*w - 858 = n. Calculate the greatest common divisor of m and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3480043823 plus 1?\nAnswer: 3480043824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 16*d + 59. Let u be g(6). Sort u, 0, 31 in descending order.\nAnswer: 31, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-2)\/26)\/((-429)\/286).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144483 at least 144514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 58*r**2 - 2. Let y(o) = -3*o. Determine k(y(n)).\nAnswer: 522*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 25584*u + 511737. Determine x(-20).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4666238, 9332481, 13998724, 18664967, 23331210?\n\"Answer: 4666243*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + y - 28. Let g be (2\/4)\/((-1)\/10). Let t(a) = a**3 + 5*a**2 + 4. Let q be t(g). Is y bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p - 6. Let i(l) = 15*l + 11. Let g(c) = 4*i(c) + 9*v(c). What is the remainder when g(-11) is divided by (2\/(-4))\/(((-14)\/36)\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-1)\/2*-12. Let j be n\/15 - (-4)\/(-10). Find o, given that 3*o**2 + 0*o**3 + 3*o**3 + j*o**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28285 = -78*n - 26491 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41332 + -28514. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/90 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*c + 2*c + 1081 = 0, 3*u + 3*c - 1632 = 0. Suppose -2*j - 162*h + 165*h = -27, -2*j + 7 = h. Suppose 0 = -j*s + u - 105. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8509 - -272299\/32. Find the common denominator of -17\/2152 and h.\nAnswer: 8608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2701 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 31 + 35 = -4*z, 7*x = -5*z - 24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22419, -22342, -22247, -22134, -22003?\nAnswer: -21854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-18)*-1*6\/(-4). Is b bigger than -6\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*-1)\/sqrt(12) + sqrt(11) - 2*sqrt(77)\/sqrt(7))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*x + 39*x + 5*v - 115, -116 = -4*x + 4*v. Solve 87*o - 9 = 84*o, -5*a = 2*o - x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 10 - -3*1358\/(-453). Let b(y) = -y + 7. Let k be b(6). Does v = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12377162, -12377164, -12377168, -12377174, -12377182, -12377192, -12377204?\n\"Answer: -b**2 + b - 12377162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/5)\/s)**(-25))**(2\/127) assuming s is positive.\nAnswer: s**(90\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, h: 3}. Give prob of picking 1 w and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 0.1, -1, 3\/2, -0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-1)\/4) + -16 + 21. Suppose -l - 18 = -2*l. Calculate the highest common divisor of l and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - 10101100?\nAnswer: -10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2758200 divided by 300?\nAnswer: -9194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 0*j = 21*j - 287. Let f(o) = o**2 - 3*o - 4. Let m be f(6). What is the third derivative of 7*q**2 - m*q**3 - 27*q**2 + j*q**2 wrt q?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 u, and 1 q when three letters picked without replacement from uyyuqququuy.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -1478\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4694920 is divided by 5120.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7948, 7897, 7832, 7747, 7636, 7493?\n\"Answer: -r**3 - r**2 - 41*r + 7991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25479593840 rounded to the nearest one million?\nAnswer: -25480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 3*i**2 - i + 2. Let l be y(3). Suppose l - 8 = 2*k. Factor t - k*t + 4 - 3*t**2 - 10 - t.\nAnswer: -3*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -549118 - 402.\nAnswer: -549520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5575\/84 - -205\/3. Find the common denominator of s and (25\/(-2))\/((-8)\/6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8845452 millennia?\nAnswer: 10614.5424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3 = 4*w - 12, -w - 3*q = -9. Let b be (w\/(5 - 3))\/(-2). Suppose b = -4*n, -10 = -v - 7*n + 2*n. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 - 103518*x\/11 - 273064.\nAnswer: 2*(x - 51788)*(x + 29)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -4, 274, 18.\nAnswer: -22, -4, 18, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4970.82 years in millennia?\nAnswer: 4.97082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/21 - (-186)\/21. Let r = g - -11. Let d = 33 + 5. What is the remainder when d is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235037 is divided by 4508?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/63 - (-907)\/9. Let b(m) = -332*m + 89 + p - 181. Is b(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127060813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 8 - (96 - 16)\/(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/53, 0.5, -68, 2, 1\/3, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -8. Let l(g) = g**2 + g + 2. Let y be (-1)\/(-2) - 8\/16. Let r be l(y). Calculate the highest common factor of m and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/18 and -53\/461913387?\nAnswer: 2771480322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/33*51\/85. Determine y, given that 2\/11*y**2 + 2\/11*y**3 - x*y**4 + 0 - 2\/11*y**5 + 0*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-22)*16\/6. Suppose 2*u - 3*s = 2, -d*s - 4 = -5*u + u. Let j(w) = 745*w**2 + w - 1. Is j(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d - 6. Let i be l(-6). Suppose -h + i + 1 = 0. Let y(b) = b - 1. Let k be y(h). Solve w = -k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:43 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/a**(-8))\/(a**(-2))**(1\/84) assuming a is positive.\nAnswer: a**(631\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -144, -143, -150, -171, -212, -279?\n\"Answer: -s**3 + 2*s**2 + 2*s - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 357 = -7*z. Factor z - 119 + 6*w**5 + 10*w**4 + 4*w**3.\nAnswer: 2*w**3*(w + 1)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/11, 1, -0.0999, -6, 3\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 72630445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/660 - 13*g**5\/66 + g**4\/2 - 1685*g**2. Let w(r) = 0. What is r?\nAnswer: -66, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 219\/9 + 4\/6. Let g(y) = -13*y + 56. Let a be g(4). Suppose 0 = -5*o - 2*v + 46, 5*o = -a*v + 46 - 4. Calculate the highest common divisor of o and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31913 greater than 31916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2362202?\nAnswer: 2, 103, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v - 421. Let r(y) = -2*y. Calculate t(r(x)).\nAnswer: -10*x - 421","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -764 = -100*u + 98*u. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 392*-4\nAnswer: -1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 7) to base 3.\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20404121 (base 5) to base 14\nAnswer: -4599c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 14 = -5*n, 2*z - 3*z + 2*n - 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2. Let g(v) be the third derivative of -v**3\/6 + v**2. Let i(f) = 2*f + 8. Let m(w) = 8*g(w) + i(w). What is m(r(q))?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, -19, -329 in increasing order.\nAnswer: -329, -99, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -12. Suppose -2*m - 34 = k - 2*k, -x*k = 4*m - 172. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2861937 divided by -2379?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 259727*o. Let f(a) = -2*a + 734. Calculate f(n(u)).\nAnswer: -519454*u + 734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53637 + 75464. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388820 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -232\/3*z**3 + 2*z + 3*z**2 - 38. What is the second derivative of r(v) wrt v?\nAnswer: -464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:52 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 120 = -3*s. Let u = -43 - s. What is the remainder when 49 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000217429 to 5 dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 130522040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 - -216. What are the prime factors of g?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 92 (b) 1111 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let x(n) be the first derivative of 0*n + 0*n**p - 1\/3*n**3 + 2 + 1\/2*n**4. What is the third derivative of x(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8211)\/23460 + 1\/(5\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135001\/19 - 7107. Is a bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**6 - 4814*o**5 + 18993*o**2.\nAnswer: 120*o**3 - 288840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(9) - -2*-4*sqrt(9)) + 3*2*sqrt(468))**2*-6.\nAnswer: -4914078\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4799 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, 4, -5, 5, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -246?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, 3135, 4 in descending order.\nAnswer: 3135, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-121)\/132)\/(-11)*56\/(-105)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1125*v**2 + 1125*v**2 + 4*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000066653 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y**2 - 1. Let a be i(0). Let o be 1*(4 + a)*(-10)\/(-6). Solve 3*h - 8 = o*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*v**4 + 9\/2 - 3*v**3 + 3*v - 4*v**2 = 0 for v.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3439 and 71060057.\nAnswer: 3439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4\/35, 0.05, 31\/5, 6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -109?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*t + 57 = 0, 3 = -872*y + 873*y + 3*t. Calculate the greatest common factor of 1038 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*g - 5, -j + 3*g = 5*g - 5. Let a be (j - (-132)\/(-20))*(-5)\/2. Suppose -17*v**a - 2*v**3 - 4*v**3 - 19*v**4 - 2*v**3 + 44*v**5 = 0. What is v?\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.82567 - -712.11667. Let k = -710 + n. Round k to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 + 4*g**2 - 2*g**2 + (0*g**2 + 2*g**2 + 0*g**2)*(-46 + 27 - 45) - 3*g**2 + 0*g**2 + 6*g**2 as a*g + l*g**2 + u and give l.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/7 + 72564294*i\/7 - 1316394190929609\/7 = 0.\nAnswer: 36282147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 62*k**2 - 8*k - 27. Is v(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 48\/((-8400)\/(-5575))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1901, -3802, -5705, -7610, -9517, -11426?\n\"Answer: -w**2 - 1898*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2028 + -1421. Suppose 0 = -13*h + 17*h + 3*b - z, -4*h - 4*b = -604. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.5 + 2.98. Let d = c - 0.08. What is d rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/26 or 0?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 34, 0, -5 in descending order.\nAnswer: 34, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-6 - 2)) + -18 + 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -2\/5 (c) 79 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1651.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -7. Let a = -5.46 + 0.06. Let i = r + a. What is the closest to 0 in 2\/3, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 402?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17696916 take away -4184?\nAnswer: 17701100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a = -2*k - 51*a + 250, 0 = 2*k + 2*a - 222. Let x = 63 - 24. Calculate the remainder when k is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1512)*-6 + (sqrt(252)*-3)\/sqrt(6))\/((2*sqrt(1152))\/sqrt(3)) + 3.\nAnswer: -39*sqrt(7)\/16 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -16*u + 1232. Which is the second smallest value? (a) u (b) 2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*s = -5, 2*c + 3*c = -2*s - 14. Let f = c - -9. Solve -2*z = -4*z + f*k - 5, -16 = -5*z + 3*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89*c**4 + 203*c wrt c.\nAnswer: -1068*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rk when two letters picked without replacement from {r: 1, k: 4, g: 1, q: 1, c: 3, z: 6}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7742 and 316?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 624165 and 210?\nAnswer: 8738310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x + 39. Let l be m(17). Let i(c) = -16*c**3 - 6*c**2 - 4*c + 2. Let p be i(-3). Let h = p - l. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 3*t**3 + 24*t**2 + 63*t + 54 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*t + 1 = 0. Let o(r) = r**3 - r - 1. Let x(g) = -g - 1. Let p(k) = 3*o(k) - 3*x(k). What are the prime factors of p(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.52275 times -5\nAnswer: 17.61375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 88*r**2 + 3*r + 3. Let s(j) = j**3 + 175*j**2 + 5*j + 5. Calculate -5*l(k) + 3*s(k).\nAnswer: -2*k**3 + 85*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 9) to base 5\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 4, q: 6}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2480)\/1085*2737\/(-184)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.2661 hours to minutes.\nAnswer: 3855.966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1502 and 59\/390520.\nAnswer: 390520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -61, 0, -1506, 5, -11 in descending order.\nAnswer: 5, 3, 0, -4, -11, -61, -1506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 3*w**2 + 3*w - 1. Let n be k(4). Let a be -4*n\/(60\/9). Suppose 5*m = a*m + 124. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 92*r**2\/9 - 772*r\/9 + 392\/3 = 0.\nAnswer: 2, 147\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 + m - 81)*(-2 + 2 - 2)*(-6 + 3 - 5).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9684*x**4 - 9177*x wrt x?\nAnswer: 116208*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -11*c - 1\/3*c**3 + 9 + c**2 + 2*c**4. Is s(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -37339?\nAnswer: -19\/37339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 2*y + 4, 5*m = 2*y + 19. Suppose -12 = f - m*f. Let g(d) = 2*d**3 + 9*d**2 - 5*d + 2. Let c be g(-5). Solve -f*b = c*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 55\/2*r**2 + 50*r + 5\/3*r**3 - 56. Factor p(w).\nAnswer: 5*(w + 1)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 11*p**2 - 22*p - 11. Let l be t(8). Let x be 0 - (-30)\/l*(-4)\/6. Which is smaller: x or -14\/3?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/87, -2\/11, 40872?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/(-15)*(-4)\/42*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 - 211.74. Let h = g + -0.26. Let i(f) = f**3 - f**2 - 2*f + 3. Let z be i(2). Which is the third biggest value? (a) -4 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155605.\nAnswer: 5, 11, 21011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + 3. Suppose 3*z + o - 103 = 0, 3*z + 5*o - i = 93. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 558201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4\/4 - 8*w**3\/3 - 7*w**2\/2 + 12*w + 1. Let b(s) = s**2 + 31*s + 67. Let g be b(-29). Is 16 a factor of k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/6)*w*w*w)**(-18)*w**(4\/7)*w**0*w)**(-19))**(-10\/3) assuming w is positive.\nAnswer: w**(-97660\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/215*115\/(-46)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = -105*g + 110. Let n(w) be the second derivative of -5*w + 0 + 0*w**3 + 1\/2*w**5 + 0*w**2 - 5\/12*w**g. What is the third derivative of n(c) wrt c?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10536 is divided by 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**6 - 3*f**4\/2 - 107*f**3\/3 + f - 219. What is the third derivative of z(h) wrt h?\nAnswer: 360*h**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 20*p - 102771 = -101859 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 6*j**2 - 4*j + 3. Let u be 7 + (0 + 0 - 2). Let q be c(u). Solve -2*v - q = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/52*((-126)\/(-343))\/9.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j - 1. Let r(h) be the third derivative of h**7\/6 - h**5\/10 - h**4\/4 + 5*h**3\/3 - 2*h**2. Let b(x) = 6*m(x) - r(x). Differentiate b(d) wrt d.\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 26. Suppose 5*q - 2 = -u + g, 25 = 5*u. Solve -q + 5 = -l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 81705 and 3.29.\nAnswer: 81708.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 1. Let z(p) = -8*p + 5. Let b(i) = 20*c(i) - 4*z(i). Let l(y) = -3*y**2. What is l(b(s))?\nAnswer: -192*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - a + 2 = 2*t, 4*t + 4*a + 28 = 0. Let n = t - -8. Suppose -18010 = -n*l + 24490. What is l rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*k, 3*w + 2*k - 2 = 2*w. Let u be (-5 - -2)\/(w\/596). Let q = 917 - u. Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -159\/5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 5*r**2 + 448 - 448 + (-6*r + r + 3*r)*(3*r - 4*r - 5*r) as x*r**2 + h + d*r and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-21) - (-4)\/(-3)) + -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3375?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 16. Let n be (m\/20)\/1*45. Calculate the greatest common factor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*r - 10*r - 614, 2*d + r - 392 = 0. Suppose -3*i - 45 = -3*s, -2*s = -s + i - 21. What is the highest common divisor of s and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*d*l**4 - 7742*d*l**2 + 71*l**4 - 1 wrt l?\nAnswer: 288*d*l + 1704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100100011 (base 2) to base 4.\nAnswer: -30203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 132*v + 17. Let g be (68\/14)\/(116\/812). Let j(a) = 7*a + 3 - 8*a + 23*a. Let d(w) = g*j(w) - 6*r(w). Let m(l) = -l**2. Determine d(m(u)).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**(-1\/4)\/l)\/l)**(-6\/5))**(-2\/29)\/(((l**(2\/7)\/l)\/l)\/l*l**(2\/27))**(-2\/53) assuming l is positive.\nAnswer: l**(-58993\/290493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.8237201 rounded to 1 dp?\nAnswer: 243.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1060 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5036.4*676.\nAnswer: -3404606.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -41. Let w(f) = 4*f + 12. Let o(a) = 2. Let h(n) = -2*o(n) - w(n). Let t be h(-6). What is the greatest common divisor of z and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183844 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.423353l to millilitres.\nAnswer: 2423.353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -809, -2226, -4227, -6794, -9909, -13554, -17711, -22362?\n\"Answer: 3*b**3 - 310*b**2 - 508*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12112 + -11?\nAnswer: 12101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 560313 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-2 + (-2)\/(-4))*-38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-34) + 406\/17. Let v be (-1 - -10) + -1 + 1. Suppose 3*b + v = j. Solve 2 = b*i - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -186.1 - -186. Which is the closest to t? (a) 2\/9 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23056265 + -12?\nAnswer: 23056253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -9*i. Suppose i*t - t + 2 = 0. Differentiate -j**2 - 5*j**2 + 4 + 5*j**t wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 + 30*s**2 + 7*s - 377. Determine o(-12).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -44 - (-2 - (7 + -9))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/3, -5, 2\/21, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4519 - 45253\/10. Let p = z - 21\/5. Let r = 1 - 6. What is the common denominator of r and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24411?\nAnswer: 3, 79, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(200) + sqrt(200)*-1)\/sqrt(4))\/(sqrt(110)\/(sqrt(22)\/sqrt(2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + -3.2. Let s = 1 + t. Let z = s + 2.99999992. Round z to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 3*l - 2*l + (-32 + 19 + 38)*(-l + l + 5*l).\nAnswer: 124*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4891713078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vshvsvhv. What is prob of sequence hs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74758 and 0.3.\nAnswer: 22427.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*i**2 + 61*i**4 + 1 - 33*i**4 - i - 29*i**4 as q*i**2 + h*i**3 + u + b*i**4 + o*i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -352 <= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22029681.\nAnswer: 3, 7343227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/19)*h*h)\/(h\/h**(-5)))**(5\/4) assuming h is positive.\nAnswer: h**(-295\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from bbeeebeeebe.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**3*m**2 - 704*g**3*m - g**3 + g**2 - 78*g*m**3 + m**2 wrt m.\nAnswer: -2*g**3 - 468*g*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-6))\/(2\/(-9)). Let k be (1 + 3\/a)*2. Suppose -4*o + k = 21. Sort o, -3, 1 in ascending order.\nAnswer: o, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 35 (b) -1\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and -0.644?\nAnswer: -40.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 8*w + 18 = -6*w, g = 2*w - 10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/1*11\/352*-4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583 = 825*l - 772*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 353 = -2*t + 402, 3*t - 5*w - 1125 = 0. Let q = t - 162. Suppose 75 = 4*h - 29. What is the highest common divisor of h and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - (2 - (-333)\/(-3))) + 2.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64745 times 13.4\nAnswer: -867583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 20*u**2 + 2*u - 38. Let k be d(20). Let s be ((-8)\/10)\/(k\/(-1330)). Suppose -3*m - 823 = -4*a + s, 0 = -5*a + m + 1702. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/33)\/d*(d\/d**0)\/d)\/((d\/(d\/d**(-6\/13)))\/d)**(2\/3) assuming d is positive.\nAnswer: d**(148\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 18*i - 61. Let o be m(-13). Suppose -10*l + 7*l - 4 = 5*s, -o*s + 10 = -2*l. Let a(w) = -w**3 - 3*w**2 - 3*w - 4. Calculate a(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 1.6, 1, 2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1335075*-29.\nAnswer: 38717175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.035 - 1.965. Which is smaller: a or -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*(((sqrt(2448) - sqrt(2448)*-2) + 0)*-6 - (-3 + -3 + (sqrt(2448)*-2 - sqrt(2448)))) + 2))**2.\nAnswer: -506880*sqrt(17) + 141012544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 240. Suppose 3*o - 4*i - m = -7*i, -o = 2*i - 30. What is the remainder when o is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i. Let j(y) = 18906*y + 224. What is j(t(w))?\nAnswer: -56718*w + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6939.824 millennia in decades?\nAnswer: 693982.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 - -116. Is a*(7 - 5484\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/9 - (-125)\/45. Suppose -l*n + 73 = -8*w + 3*w, 0 = 2*n - w - 58. Let p = n + 124. What are the prime factors of p?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18879 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 613984 = -28*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 12:09 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18658682*d**2*t - 2*d**2 - 75696*d - 184 wrt t?\nAnswer: -18658682*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 1:03 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -25*b. Let w be ((-54)\/(-15))\/(24\/2760). Let d(a) = 2576*a. Give w*n(c) + 4*d(c).\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -209, -419, -627, -833, -1037?\n\"Answer: l**2 - 213*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/8*2*(-1)\/(-3). Let u = -8 - -8. Which is greater: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2007 and 238833?\nAnswer: 238833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = -42. Let t = x - -103. Let c be (0 - 4) + 2*t. Calculate the highest common divisor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/61? (a) -4 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 - 2)*(2*a + a - 4*a) + (4*a - 2*a + 2*a)*(-5 + 1 + 2) + (2 - 2 + 3*a)*(1 + 1 - 1).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -9044?\nAnswer: 9043.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -d23 (base 15) in base 6?\nAnswer: -21410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 20*h + 8. What is the tens digit of d(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24411982 to the power of 1\/2, to the nearest integer?\nAnswer: 4941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 84604.39 minutes?\nAnswer: 5076263400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 165\/4. Let y(w) = 2*w - 33. Let d be y(17). Which is the nearest to d? (a) 1\/3 (b) u (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181\/1086*6\/(-4)*68.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6286558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 a when three letters picked without replacement from aaaammamaamaaammmaml?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, h: 4}. What is prob of sequence ha?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*t - 75 = -19. Let q(b) = -b**2 - 4*b - 6. Let a(y) = -2 + 4 - 1. Let s(j) = t*q(j) - 2*a(j). Factor s(o).\nAnswer: (o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c + 75 = 0. Let y be 3\/c - 3\/15. Let t = -0.4 - 0.1. What is the nearest to -1\/4 in t, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*w**2 - 895*w + 390.\nAnswer: -5*(w + 26)*(7*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - w = -3052, -5*w - 1659 = -3*x + 2919. Let s = 21383\/14 - x. Find the common denominator of s and (-426)\/(-172) + (7 + -10)*1.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -3 (c) -564 (d) -20558\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/500*180\/12*(-225)\/6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 1:06 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - 11 - (0 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -201.735 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1)*z)**26\/(z*z\/(z*z\/z**(-3\/8)))**15 assuming z is positive.\nAnswer: z**(253\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 36, -68, 0, 3, 5, -4 in ascending order.\nAnswer: -68, -4, 0, 3, 4, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31.3055 bigger than -4831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whw when three letters picked without replacement from {w: 4, h: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*sqrt(2754))\/(3*sqrt(18)).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-2\/41)\/(i**1\/i)**(-1\/68)*(i**(5\/3)\/(i\/i**0))**(-12\/5) assuming i is positive.\nAnswer: i**(-318\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11345379 to the power of 1\/2, to the nearest integer?\nAnswer: 3368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3876\/(-41344))\/(150\/(-32)).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 9:54 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*a + 8*a**2 - 28*a + 15*a + (1 - 2*a - 1)*(-2*a + a + 0*a) as s*a + z + y*a**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) 0.383 (b) 5 (c) 102 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -36. What is the remainder when 54 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 1898 = y + 90*y for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 7*t**2 - t + 1. Suppose -10*c + 95 = -5*c. Suppose 2*k + 12 = -2*p, 0 = 2*k + k + 2*p + c. Calculate o(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -6. Suppose -k + 12 = 5*u, 2*k - 3*u - u = -4. Find the second derivative of 6*l**k - 2*l**2 - w*l - 8*l wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1616065 and 220.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*d + 2*d + 3*x, -4*d - 4*x + 56 = 0. Suppose -2*w + w = -4*l - 18, -4*l - d = 0. Factor 0 - 2\/9*r**w - 4\/9*r.\nAnswer: -2*r*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/5*115\/(-506)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 6 (c) -389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*j - a - 17, 5*a = 25. What is the second derivative of 21*k**5 + 21*k**5 - 7*k**5 - j*k + 10*k wrt k?\nAnswer: 700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/672*2640\/165?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 7*u**2 + 8*u - 4. Let d be y(6). Suppose -d*a - 965 + 11485 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 38*b + 119. Give i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -656976751 and -0.3.\nAnswer: -656976751.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0269 + 0.02758272. What is q rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42235.\nAnswer: 5, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/3 + -2)\/(39\/(-2106)). Which is the second biggest value? (a) 0 (b) 6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, l: 11}. Give prob of picking 4 y.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1623680860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -35*i. Suppose 102 = 3*w - 3*s, -w = -0*w + 5*s - 28. Suppose 0 = 4*b + 5*f + w, -5*f + 1 - 24 = -b. What is the tens digit of n(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-204)\/374 - 215\/(-11). Suppose -4*x + 11 - 81 = -2*o, 4*o - 5 = -x. Let j = x + c. What is the remainder when 23 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548662 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 132*m**2 - 556*m + 91. What is k(136)?\nAnswer: -1541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*i + 20, i + 6 = -4*t + 2. Solve 0 = -s - s - 4*q - 2, 5*s + 4*q + 5 = t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-72)\/28)\/((180\/784)\/15). Find the common denominator of 4 - (-10)\/6*m\/(-480) and 51\/412.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 618 - 1225 + 607 + 37*d**2.\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 116709715169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1172 + 1310. What is the remainder when i is divided by (-396)\/(-14) - (-2)\/(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -48\/5. Let p = -44 + 59. Suppose -p*h = -14*h + 2. Is h greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from srnsn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34474205 + -34474205.316000028. Let u = r - -0.316. Round u to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10689, 10814, 10939?\nAnswer: 11064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 73*w**2 + 301*w + 506. Give c(77).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:59 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.075 * -11.8.\nAnswer: 0.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -182.9936 - -183. Let k = -911.5 - -911.493359. Let p = k + t. Round p to five decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/585 and 30405\/31200*8 + -8.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1\/(b\/((b**(-6\/11)*b*b)\/b)*b)*(b**(1\/4)\/b)\/b**(2\/5)*((b**(-2\/3))**(2\/21))**(-2\/5) assuming b is positive.\nAnswer: b**(-23147\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 97910 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(-1*sqrt(245)) + -1)*6)**2.\nAnswer: 72*sqrt(2)\/7 + 1836\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -7*k**5\/20 + k**4\/24 + k**3\/3 + k**2. Let a(g) be the first derivative of p(g). Is a(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -872 - -13081\/15. Let p(o) be the third derivative of 0*o**4 + o**2 + 0*o**3 + 0*o + 0 - u*o**5. Factor p(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 9800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19164766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -1\/22, -1\/8, -0.2 in ascending order.\nAnswer: -27, -0.2, -1\/8, -1\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -2\/3 (b) -2 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sflqls. What is prob of sequence qlfs?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybxbybb. Give prob of sequence xbx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in 0, 832, -587?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7361, 29572, 66587, 118418, 185077, 266576, 362927, 474142?\n\"Answer: 2*h**3 + 7390*h**2 + 27*h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 4\/8*2. Suppose j - 12 = -5*z, -m*j - 20 = -5*z - 9*j. Solve 5*q - 41 = -z*y - 6, 3*y = -3*q + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 104\/195 + 6\/45. Find j such that -t*j**3 + 16\/3 + 2\/3*j**4 - 4*j**2 + 8\/3*j = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**6\/120 - 7*y**5\/60 + y**4\/4 + y**3 - y**2. Let p be h(-8). Let a = -12 + p. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -5*c + 35, -94663*c = -94665*c + 4*j + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2359 + -2358.5. What is the nearest to 15 in g, 7, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (24 + (-18 - 10) - 61)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88*b**3*h - 6*b**3*o + b**3 - 6*b**2*h**2*o - 124*b**2*o + b*o + 5*h*o wrt h?\nAnswer: -88*b**3 - 12*b**2*h*o + 5*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b + 4. Let m be 4\/2 + (-4)\/1. Let z = m - -4. Solve z*r - b = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 9*a**2 - 8*a - 3. Let u be p(-8). What is the smallest value in 5, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4291)\/613 - 17*15\/(-39)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1232\/25 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 159.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345 divided by -11174.\nAnswer: 345\/11174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1715678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**5\/20 + n**4\/3 - n**3\/3 - n**2\/2 - n. Suppose 12*a - 30 = 2*a. What is the lowest common multiple of t(a) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56075034.\nAnswer: 2, 3, 9345839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r + 823753*r**2 + 18*r - 823766*r**2 - 6*r.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-172387)\/(-43) - (0 + 1 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105714 and 369432?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38827918 to the power of 1\/2, to the nearest integer?\nAnswer: 6231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 7. Let l be 10 + -9 - (-1 + -51). Suppose j = -h*i - 0*i + 65, 0 = -j + i + l. Is j a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/146160 and -13\/3780.\nAnswer: 438480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2836 + -22617\/8. Let w(g) = g**3 + 2*g + 4. Let u be w(-3). What is the common denominator of (6\/(-4))\/(8\/u) and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 11 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -4. Suppose d*z = -2*z - 240. Round z to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 - 33. Let b = v - -33. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3 = -3*f, 3 = -f - 3*y + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5088 - 865*z + 5088.\nAnswer: -865*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 120*(-16)\/40 - -24\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1875\/847 - 110331\/169400. Let z = 159\/100 + l. Calculate the common denominator of z and 43\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 60 + 16946*k**2 - 33901*k**2 + 16956*k**2 + 32*k. What is g(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 + 4*o**2 - 6*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -70*g**2 - 6*g - 28. Let x(h) = 71*h**2 + 4*h + 26. Let t(j) = 3*x(j) + 2*y(j). What is the first derivative of t(o) wrt o?\nAnswer: 146*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 10 (b) 1\/4 (c) -7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*m**2 + 4*m + 996*m**2 - 4*m - 487*m**2.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (594\/4941)\/22*(1 - (-2 - -9)).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4373, -17497, -39363, -69965, -109297, -157353?\n\"Answer: q**3 - 4377*q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141796*r + 14768 = 142364*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 753800.3 kilometers?\nAnswer: 75380030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x + 5. Let i be b(2). Suppose -24 = -v - i. Let p(h) = -h**3 - 3*h**2 + 3*h. What is p(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32922305483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/5 - 3328*i**4 - 6918908*i**3 + 13874440*i**2 + 48492294*i + 138511368\/5 = 0. What is i?\nAnswer: -4161, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j - 5. Let w(s) = -6*s - 6. Let i be (-120)\/56 - (-6)\/(-7). Determine i*u(b) + 4*w(b).\nAnswer: -3*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13538269, 13538153, 13537953, 13537663, 13537277, 13536789?\nAnswer: 13536193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*u**5 - 2 - 68*u**5 - 19245*u + 4 + 19257*u wrt u?\nAnswer: -2480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 11*q**2 - 11*q - 2. Let t be l(-10). Let w be ((-40)\/80)\/(10\/t + 1). Let d = -25\/2 - -12. Which is the closest to d? (a) -1\/2 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - -6) + 11 - 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -533628 + 0.09?\nAnswer: -533627.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -0*b - 5*b, -2*y = 2*b - 14. Let g(l) = 7*l + y - 17 - 19. Is g(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Find the third derivative of -9*j**2 + 0*j**2 + 18*j**5 - 3*j**p + 0*j**5 wrt j.\nAnswer: 1080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-86)*(-148)\/(-23088)*-1118.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Suppose 2*c - 5 = 13. Let w = c - a. What is the remainder when 16 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1711 + -0.1711. Let j = 947\/2 - 446. Which is the nearest to g? (a) j (b) 1\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252388, -252391, -252394, -252397, -252400, -252403?\nAnswer: -252406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 5*j**2\/2 - 30. Let l(k) = -94*k - 4. Calculate n(l(v)).\nAnswer: -470*v - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -82, 1.17 in ascending order.\nAnswer: -82, -0.2, 1.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -3)\/(1\/1). Let v = 16 + -10. Let j = v - 4. What is the second biggest value in j, 5, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + 5 + (-2*sqrt(320))**2)*4.\nAnswer: 5146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - sqrt(180)*-1 - sqrt(180)) + sqrt(180))\/sqrt(9).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(44\/14)\/2)\/(((-105376)\/356)\/(-296)).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 3\/(-75) + (-1035351)\/(-2525)?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**5 - o**4 - 2612*o**3 - o**2 - 7*o + 2733.\nAnswer: -300*o**2 - 24*o - 15672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -23\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (5 + sqrt(405) - sqrt(45)))*-1)**2.\nAnswer: 24*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2722.047908 - -2722. Let r = j - -0.048. Round r to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 24 = -4*f, 3*j - 3*f = -f + 14. Solve -10*u + 26 = -j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -334, -500, -666, -832?\nAnswer: -998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyffffyf. Give prob of picking 1 y and 1 f.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23482, 23574, 23666?\n\"Answer: 92*c + 23390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 10 = -5*v, -3*w - 6 = 3*v. Suppose 5 - 14 = -v*q. Solve -s - 11 = -q*n - 2*n, 5*s + 9 = 2*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 1\/24*k**4 - k - 1\/30*k**5 + 0 + 0*k**3 + 3\/2*k**2. Let r(h) be the first derivative of j(h). Calculate r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2\/5 + 57\/5*s**2 - 41\/5*s = 0.\nAnswer: 1\/19, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 162764506 - 8?\nAnswer: 162764487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 1900 = -18. Let w = -268 - x. Let n(d) = -d - 7. Let y be n(-12). Solve -w*i = -i + y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 7:49 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from {o: 11, i: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from qqqqqqqqqqhuqqq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**4*d*d*d\/(d**1\/d))**(-4)*(d*((d\/(d\/(d\/(d**1\/d)*d*d*d)))\/d)\/d)**(-3\/7)\/(d**0)**14 assuming d is positive.\nAnswer: d**(-233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12855794*-6\nAnswer: 77134764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 176217941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/351 and -71\/78.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00538906 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12500\/5)\/((-23)\/1567036). What is f rounded to the nearest one million?\nAnswer: -170000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 = 10. Solve -4*n + 18 = r*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 27 and -20.05.\nAnswer: 6.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**8\/10080 + p**7\/1260 + p**5\/15 + 3*p**2. Let g(i) be the third derivative of v(i). Give g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3032 (base 12) to base 11.\nAnswer: -3a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in months?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5542 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 496*o - 2*o**3 + 2 - 512*o - 3 - 9*o**2 + 7*o**2 to z + x*o + a*o**3 + v*o**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40132 + -3?\nAnswer: 40125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31544 - 384?\nAnswer: -32038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1926, 3489, 5054, 6621, 8190?\n\"Answer: j**2 + 1560*j + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1213692 and 404564?\nAnswer: 1213692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 75951960.\nAnswer: 227855880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.944951ml?\nAnswer: 0.000944951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-32)\/(-4))*-4462. Suppose 16*q - 39*q + f = 0. Does 99 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/3)\/u**4*u*u**3*u*u\/(u*u**4))**(3\/4) assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2. Let o(s) = -s + 1. Let f(l) = 8*l**2 + 4*l. Suppose 27*z - 30 = -3*z. Let j(g) = z*f(g) + 4*o(g). Give h(j(d)).\nAnswer: 128*d**4 + 128*d**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 22. What is the nearest to -1\/2 in 2\/5, 5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -5. Suppose -7 = -3*k - 1. Suppose 0 = 5*a + 3*j + 11, -3*j - 3 = -k*a + 1. Sort m, a, 2 in ascending order.\nAnswer: a, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2902796.72 rounded to the nearest one thousand?\nAnswer: 2903000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67067 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256765*o + 775 - 775 - 204761*o.\nAnswer: -461526*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86192 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkeiiecs. Give prob of picking 2 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 9*n**2 + 4*n - 16. Give y(7).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(4 - 5 + 4)*(-1 + 1 + 2*u)*(-243*u + 243*u + 2*u**2).\nAnswer: -36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a**3 + 10*a**2 - 3*a**2 - 7*a**2.\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Let a(h) = -7*h**2 - 6*h. Let i(k) = a(k) + 6*u(k). Let p be i(-5). Suppose p*q - 327 = 2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 41\/2 of a week?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - s**5 + 2 + (-28*s - 11*s**2 + 28*s)*(s**3 + 3*s**3 - 6*s**3) + (-s + s - s**4)*(-s - s + s).\nAnswer: 22*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**4 + 28*x**3 + 72*x**2 + 80*x + 32 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5 + 441626*t**4 + 40204714*t**3 - 41087962*t**2 - 40204712*t + 40646336 = 0 for t.\nAnswer: -92, -1, 1, 220904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 312?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(171) + (sqrt(19) + -1)*6)*2*3)**2.\nAnswer: 1296*sqrt(19) + 7452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/3)\/2 + -8. Let s(g) = 9*g**2 + 9 + 2 + 3*g**3 - 2*g**3 + g. Let j be s(f). Solve -5*z + j*z - 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -445*l + 206. Let w be z(-1). Solve w*s - 649*s - 4 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.2 (b) 3\/2 (c) 110 (d) -1 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3844677?\nAnswer: 3, 271, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6890*z**2\/3 + 802*z\/3 + 6088\/3 = 0.\nAnswer: -3044\/3445, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 224.41 and -2.9.\nAnswer: 221.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2402 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7514, -16048, -24586, -33128, -41674, -50224?\n\"Answer: -2*i**2 - 8528*i + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, h: 3, m: 5}. What is prob of picking 1 m and 2 i?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 196 or 10350\/53?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sra when three letters picked without replacement from rrsa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -25. Suppose -w = 2*a, -a = -2*p + a. Sort p, 3, 2 in descending order.\nAnswer: 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -55. Solve -n + 6*n - z + f = 0, 8 = -n - 5*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*r**4*u + 2*c*r**4 - c*r**2*u + 2*c*u - 1258*r**3*u + 9702*u wrt r.\nAnswer: -48*c*r*u + 48*c*r - 7548*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -339644, -8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**4 - 3*b + 5*b + 2*b - 3*b - 4 as k*b**3 + s*b + m*b**2 + j*b**4 + w and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q + q**3 + 1321*q**2 - 1326*q**2 + 9 - 6*q. Suppose -k = -3*u + 9 - 0, -3 = 2*k - 3*u. Is r(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - -230*1 - -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9448029.203 - 0.5.\nAnswer: 9448028.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**5\/100 - 637*s**4\/10 - 811538*s**3\/5 - 15*s**2 + 150. Factor t(q).\nAnswer: -3*(q + 1274)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/43 - -56\/215. Do -54\/11 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8800, -8720, -8652, -8602, -8576, -8580?\nAnswer: -8620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.4. Let j = 0.04 + -0.54. Let f = 0.5 + j. Put u, -1\/5, f in ascending order.\nAnswer: -1\/5, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 340 - 1374155?\nAnswer: -1373615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 0)*(20 - 14 - 9 - 2*p) to the form w + a*p and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9269, 13484, 20509, 30344, 42989, 58444, 76709?\n\"Answer: 1405*i**2 + 7864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/14 - (-10)\/(-35). Suppose -v*o = -6*o. Let a = o + 11. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57592684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9 - 3 = 0, -5*l - q - 223 = 0. Let x = -28 - l. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d = -10*d. Suppose 39 = -d*u - 39*u. What is the nearest to -2 in u, 5, 1\/7, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 18. Determine u(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 9*i**2 - 17*i + 11. Let k be h(-6). Let a(w) = 16*w**2 - 32*w + 148. What is the tens digit of a(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((-10)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**2 + 48*p + 189. Determine b(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-329)\/(-94)*(-4)\/56)\/(6\/((-24)\/(-41))).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9880\/(-30) + 8\/(-12). Let c = 333 + u. Solve v = 2*j + c, -5*v - 43 + 13 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/2 - 16497*d\/2 + 16491.\nAnswer: 3*(d - 5497)*(d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 6, 648, -5\/29.\nAnswer: -2\/9, -5\/29, 6, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5.8. Let l = -130.4 - -130. Which is the nearest to l? (a) h (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 11*b**2 + 10*b - 2. Let v be a(10). Let o = v - -6. Suppose 2*q = o*q - j - 96, 5*j = 3*q - 151. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*t - 1084*t + 543*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 511694 - 511693. Let x = 5 - 2. Sort i, -3, x in descending order.\nAnswer: x, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Let v(u) = -15*u**2 - 2*u. Let b(y) = -13*y**2 - y. Let j(i) = -7*b(i) + 6*v(i). Give j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-3 + 56\/20). Suppose p = 62 - v. Suppose 0 = -d - 15 + p. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/1956 and 181\/10140.\nAnswer: 1652820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -227.2, 5\/2, -6, 0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 3*q**2 - 2*q + 4. Let k be u(-3). Suppose 5*m = 4*l + 25, 5*l + m + m = k. Sort -3, -2, l in decreasing order.\nAnswer: l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Suppose g*c - 43 = 5*u, -4*u + 0*c - 29 = 3*c. Let h = u + 12. What is the lowest common multiple of h and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/5 + 16662*i\/5 + 10935513\/5.\nAnswer: -3*(i - 6147)*(i + 593)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*(0 + sqrt(180)))**2*6 + (-3*((sqrt(90) + sqrt(10) - sqrt(10)) + sqrt(10)))\/(sqrt(32)*2).\nAnswer: -2307*sqrt(5)\/2 + 17376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13496953 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 6 + 13. Let d = 28 - b. Let y be (-13)\/4 - d\/(-36). What is the third smallest value in -6, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 4:27 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1222, 1219, 1216, 1213, 1210?\n\"Answer: -3*s + 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 5*r - 1. Let q be h(4). Suppose q*l + y - 39 = -0*y, 4*l - 62 = 2*y. Calculate the lowest common multiple of l and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -563.9*-5.\nAnswer: 2819.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-21)\/(-49))\/(3\/(-2)). Which is the closest to 2? (a) 2\/5 (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s**2 + 3473*s + 3462*s + 3*s**2 + 3470*s - 13883*s + 3471*s.\nAnswer: 20*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118672174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*6\/(-12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjzxuuuxlgj. What is prob of picking 3 j and 1 x?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 12, x - t + 9 = t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.235711 * 0.1.\nAnswer: 0.0235711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkem when four letters picked without replacement from {a: 2, q: 1, k: 3, m: 3, e: 1, b: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 148*y + 761. What is d(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h - 13. Let x be (-3 - 0)*(-1 + 4\/12). Give y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 336\/84*(1 + 46 - 1). Calculate the greatest common factor of 1748 and u.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31203003 (base 4) to base 9.\nAnswer: -84106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*l - 55 = -14551 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378*w = 7*v - 1374*w + 32, 4*w + 16 = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.8527l to millilitres.\nAnswer: 12852.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -378035*s**5 - 3*s**4 - 37519988*s**2 wrt s?\nAnswer: -22682100*s**2 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 0, 4, -4, 2 in decreasing order.\nAnswer: 76, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3973445690 to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119837751?\nAnswer: 3, 11, 23, 157889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -0*q + 5*q + 2*m, 0 = 3*m + 12. Let z = -9 - q. Let y = 3 + z. Solve 0 = -4*w + y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 38. Calculate the remainder when k(0) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26897.6 + -26898. Let c be 9\/(-15) + 124\/140. Let m = -0.8 - 4.2. What is the smallest value in c, o, m, 1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 9:18 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1884331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 226820 and 935.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64574.21 microseconds to seconds.\nAnswer: 0.06457421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 + 89.31. Let b = d - -26.15. Let f = -30 + b. What is f rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 275. Let t = 148 - k. What is the nearest to t in -0.5, 0, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 27\/2 (b) 2\/3 (c) 0 (d) -4 (e) 0.3754\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6061453385 to the nearest integer?\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52\/6 - 120\/(-360). Solve -5*y + 3*b + p = 0, -3*y + 5*b + 0*b + 15 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*b**3*h**3*k*v - 108*b**3*k**2*v + 2*b**2*h**3*k**2 - 2*b**2*h*k**2 + b*h**3*k*v - 21*b*k*v - 26*k*v wrt b?\nAnswer: -414*h**3*k*v - 648*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 2. Let k be n(-2). Let t(o) be the first derivative of o**4\/4 + 5*o**3\/3 - 7*o**2\/2 - 3*o - 2. What are the prime factors of t(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f - 6. Let a(z) = -15*z + 17. Let d(o) = -6*a(o) - 17*c(o). Let u(h) = -12*h - 3*h - 9*h. Determine -14*d(k) - 3*u(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j = 22*j - 1. Is j at least as big as -1\/110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - 2*y + y + (4 + 0 - 2 - 2 + 3 - 2 + (1 - 2 + 0)*(-2 + 2 + 1) + 6 - 1 - 2)*(13041*y - 2800 + 1437*y + 2800).\nAnswer: 43435*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231356850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Suppose s*o - 62 = 2*m + 8, -2*o = -4*m - 44. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00042132 rounded to 5 decimal places?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(1\/5))\/c)\/c)\/c)\/(c*c\/(c*c**(1\/2)))*c**(-4)\/c**(-10) assuming c is positive.\nAnswer: c**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*t**2 - 612161*n*t - 6732768*n + 7 wrt t.\nAnswer: 2*n*t - 612161*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 9*f - 4*f. Let h(m) = -5*m**2 + f*m + 0*m**3 - 4 + m**3 + 1. What is h(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406980 divided by -84.\nAnswer: -4845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -266, -5, -2, 2.\nAnswer: -266, -5, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38959487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 8*p = y - 2840, -2*y = -5*p - 5698. Suppose -431*w - y = -434*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1622752668, 1622752666, 1622752662, 1622752656, 1622752648?\nAnswer: 1622752638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3 - -10) + 20 + -20.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 61334, -5 in decreasing order.\nAnswer: 61334, 3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83167.12m to kilometers.\nAnswer: 83.16712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3591 and (5\/4 - (-24120)\/1440)\/(1\/133).\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 114726 and 220743.42?\nAnswer: 106017.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -w - 17, -7*o - w + 7 = -6*o. Let x(y) = 7*y + 3. Let n(g) = -8*g - 2. Give o*x(k) + 5*n(k).\nAnswer: -12*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3*c + 2145, r - 139 = -2*c + 283. Calculate the highest common divisor of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:03 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1568) + 4)**2 - (4*sqrt(2048))**2) + 3.\nAnswer: -31184 + 224*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -74 - 164. Suppose -98 = -35*t + h*t. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 257, 227, 139, -37, -331, -773?\n\"Answer: -5*r**3 + r**2 + 2*r + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140075*z**3 + 58 - 117 + 59.\nAnswer: 140075*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10232314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 + -43. What is the units digit of ((-2)\/(-6))\/(o\/1242)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 58913*s + 294581. Determine u(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 less than -181?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 10*c**2 + 13. Let k(q) = -4*q. Let h be k(-1). Suppose -125 = -g - h*g. Calculate the remainder when g is divided by j(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8*f + 3 = -3*o, o - 7 = -f. Suppose -4*r + 11 = 31, 3*r + 36 = f*h. Suppose -4*u + h*u = 156. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.3 times 940.1?\nAnswer: 68909.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*x = x + 36, 3*g + x - 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66210 greater than or equal to 66211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = -3*r + 420. Let m be (2 - (-48)\/(-15))\/((-1)\/(-5)). What is the smallest common multiple of r and 15\/6 + -2 + (-9)\/m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 540, 1199, 2124, 3315, 4772, 6495?\nAnswer: 8484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/15 + 2\/5. Let i be (-6*(-6)\/756)\/((-2)\/6). Does i = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 16 - 4 = -4*h, -3*h = -w - 15. Let m(c) = -14*c + 193. Calculate the remainder when m(h) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 726.19 and 28.1.\nAnswer: 754.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a + 36. Let p(i) = -2*i - 37. Let o(w) = 3*k(w) + 2*p(w). Let c(j) = -2*j**3 - 13*j**2 - 14*j - 1. Let h be c(-5). What is the units digit of o(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 - 189570?\nAnswer: -189617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 7*c - 4*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 83 = -0 + 37. Let m(w) = w**3 - 21*w**2 + 22*w + 17. Determine m(i).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.1759 to 1 decimal place.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 40 = 66*x - 61*x, -3*x - 6 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111542813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56920*k**3 - 26518*k**3 - 22547*k**3.\nAnswer: 7855*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -383 - -395. Suppose -12*w + 22*w = a*w. Solve 2*b - 4 = -w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 135?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3.03. Let n = l + -2.03. Let b = 0.5 + 3.5. Sort -1, n, b in decreasing order.\nAnswer: b, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16635 - 25665 = -564*a for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z - 10*z + 250 = 4*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - 2*sqrt(605)) + sqrt(605))**2 + 1 + sqrt(605) + 0.\nAnswer: 1 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - (-805)\/(-35) - 45.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -7*n**4\/2 - n**2 + n + 3. Let o be z(1). Let j = o + 28. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 1. Let k = -3 + 7. Let f be 2\/(-3)*(-12)\/(-8). Let a(r) = 6 - 2*r + 8*r - 5*r + 4*r. What is f*a(b) + k*c(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)*d)**(-1\/6)\/(d**5\/((d**24\/d)\/d)) assuming d is positive.\nAnswer: d**(235\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 3*q. Let g be s(3). Suppose 8 = 2*a - k, 2 = k - g*k. Suppose a*p + 455 = -3*j, 2*p + 173 = -0*p - 3*j. What is p rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31331030 (base 5) in base 10?\nAnswer: 261390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3894 and 1888.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2\/17, 0, 1.\nAnswer: 0, 2\/17, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -13 - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1368 is divided by 171.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53088377 by 24319.\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/72*18\/21.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 0 + 0 + (-a + 2*a + 0*a + 5*a - 3*a + 0*a + 1 + a - 1 + (-2 + 0 + 0)*(2*a + 0*a - a) + 2*a - 4*a + 4*a - a + 3*a + 0*a + 0 + 0 + 2*a)*(-3 + 13 - 3).\nAnswer: 57*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2 - 14*a - 17. Let l(h) = 4*h**2 - 10*h - 11. Calculate 5*d(o) - 8*l(o).\nAnswer: -2*o**2 + 10*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 3:29 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.0089927 minutes?\nAnswer: 0.016816545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 300122022022?\nAnswer: 300122022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 190\/(-15) - (-4)\/6. Let c = -7 - l. Find the second derivative of 5 + 2*y + 4*y**4 + 0*y**4 - c wrt y.\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 = -3. Suppose -x*k - 8 = 1. Let b(z) = 4*z**3 - 2*z + 1. Let u be b(1). Sort k, u, 2 in ascending order.\nAnswer: k, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1091\/11 and -99 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5112351 (base 6) in base 14?\nAnswer: -64759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 15*z + 1. Let c(x) = 270*x**2 - 45*x - 4. Give 2*c(u) + 6*r(u).\nAnswer: 546*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2576 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.24, 0, -52, 32, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 17. Let c be s(-8). Let k(j) = -j + 13. Let b be k(c). Solve 2*w = 4 + b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 - 2*i - 161. Is 58 a factor of u(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*f + 5*f. Suppose f*q - 8567 = -3*w, 0 = -3*w + 2*q - 7*q + 8572. Suppose 16*h - 5*h = w. List the prime factors of h.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1566891362 - 1566891362 + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**21)\/l**9 assuming l is positive.\nAnswer: l**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 75. Let p = t + -42. Let v(k) = 8*k**4 + 12*k. Let q(l) = 23*l**4 + 37*l. Let x(m) = p*q(m) + 8*v(m). Find the second derivative of x(i) wrt i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 195*o**4 + 1521*o**2\/2 + 1049*o. Differentiate z(c) wrt c.\nAnswer: 4680*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6540264*z**4 + 6204760*z**2?\nAnswer: 156966336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*r + 267*r - 696 - 2318 = 0 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 12070*c**3 + 60351*c**2 + 11*c + 27. Calculate b(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g. Suppose x + 5*l + 128 = g, -4*x + 9*l = 4*l + 462. What is the common denominator of x\/10*(-1 + 0) and -89\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**3 + s**2 + s + 1. Let p be o(-1). Which is the nearest to p? (a) 0 (b) -29 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 85*t - 1522. Calculate a(18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zutzuztzzzzzztz. Give prob of sequence tt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*b + 152*b - 1 + 106*b + 1 as a + k*b and give k.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 217.65?\nAnswer: -21.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13658 + -13528. What is the remainder when 383 is divided by d?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**2 + 18248170*u + 218977320 = 0.\nAnswer: -3649622, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17780 + 17782. Let r(a) be the third derivative of -1\/80*a**5 + 0*a + 14*a**w + 1\/8*a**3 + 1\/160*a**6 + 0 - 1\/32*a**4. Factor r(p).\nAnswer: 3*(p - 1)**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eyxxkoexbkyboxkxx?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26757 and 3669?\nAnswer: 32723811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14946 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 2a668?\nAnswer: -2a667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1630 is divided by 539?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**4 - r**2 - 1. Let x(s) = -s**5 - 6*s**4 - 7*s**2 - 7. Let o be (1*-1)\/(3 + 5\/(-2)). Let c(a) = o*x(a) + 14*n(a). Factor c(m).\nAnswer: 2*m**4*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/55 and 87\/38.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (30\/105 + 17046\/(-59710))\/((-2)\/(-10)). Is x less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + 73980\/16 + 10. Suppose 5*d + 554 - o = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - -283. Calculate the greatest common divisor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 194*k**2 + 11*k**4 + 98*k**2 + 98*k**2 + 1 as q*k**2 + c*k**4 + m*k + h*k**3 + b and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**4 - 2*z**4 - 4*z**4 + (41*z**3 + 27*z - 19*z - 13*z**3)*(2*z - 3*z + 0*z).\nAnswer: -29*z**4 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 9. Let z be j(10). Let k be (0 - -2)\/1 - z. Let l be (-17)\/(-2)*6\/k. Calculate the greatest common divisor of 68 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of (6 - (35834\/(-17) - 6)) + 6\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**3 + 5*p**3 - 2*p**3)*(9393 - 2608 + 11679) in the form x*p**2 + m + v*p**3 + r*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5166 and 2877462.\nAnswer: 2877462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/2*-1774*3\/(-6). Let d = k + 2996. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416290788 divided by 104072697.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*h**3*n**2 - 10*h**3*n - 2*h*n - h - n**2 wrt n.\nAnswer: 66*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 10:03 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**7\/3780 - o**6\/54 + 5*o**4\/6 + o**3\/2 + 67*o**2. Let h(k) be the second derivative of j(k). Suppose h(g) = 0. What is g?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(152) + (-1*sqrt(152) - sqrt(152)) + sqrt(152)))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 3*b - 7. Let j be d(-6). Let o(i) = i**3 - 11*i**2 + i + 10. Let p be o(j). Calculate the highest common divisor of p and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2170 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 689, 1438, 2199, 2978, 3781, 4614, 5483?\nAnswer: 6394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express t - 3*t**4 - t + (-7 + 3 + 1)*(-4*t**4 + t**4 + 4*t**4) in the form s*t**2 + h*t**4 + c*t**3 + l + o*t and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.116 - -0.216. Which is the nearest to -0.2? (a) -2\/3 (b) f (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n. Let t be w(2). Suppose -x + 17 = 5*p - 3*x, -5*x + t = 2*p. Suppose -16 = -p*y + 39. What is the remainder when y is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s**2 + 71*s**2 - 32*s**2 + 21701*s**3.\nAnswer: 21701*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - -1 - (-3 - -7). Sort l, 1, 3 in descending order.\nAnswer: 3, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 35. Let c(j) = -j + 74. Calculate -4*c(g) + 9*m(g).\nAnswer: -5*g + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8*98\/(-294).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3739613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23176 and 64?\nAnswer: 185408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 24*i - 3656 = 0. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -671.92 and -2.\nAnswer: -673.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 40 + -19 + -16 + -5 - -82?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from eccex?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfqhlr. What is prob of sequence hlr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/(-10) - (-3)\/(-15). Suppose -l*c - s - 19 = 0, -4*c + 3*s = -2*s + 17. What is the smallest common multiple of (c\/10)\/(16\/(-440)) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2349 - -2346. Let x(s) = -28*s - 73. Calculate x(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 174, 407, 744, 1191, 1754?\nAnswer: 2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -424, -3, -0.5, -24, 4?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60744.\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000368346495 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 18 - 27. Let z be (u\/(-4))\/(5\/(-20)). Solve -z*b + 4*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -50*k**4 - 2*k**3 - 14*k**2 + 794. Let a(g) = 17*g**4 + g**3 + 5*g**2 - 265. Let o(j) = 11*a(j) + 4*q(j). What is the third derivative of o(l) wrt l?\nAnswer: -312*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {o: 2, b: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-213237)\/281880 + 5\/8 and 97\/52.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017012508 rounded to seven decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5567707.\nAnswer: 503, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, w: 1, s: 1, t: 2, i: 2, r: 1}. What is prob of sequence iwis?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*l, -9 = 3*b + 2*b + 3*l. Let i be b\/(-2) + (-203454)\/52052. Let n = -1\/2366 + i. Calculate the common denominator of 28\/3 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 - 92 = 5*c. What is the second derivative of -31 + 2*j - 30 + 158*j**5 - 3*j**c wrt j?\nAnswer: 3100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -4. Let t be (-323)\/4 + (-2)\/8. Does 13 divide t\/(-4) + (-2)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -133. Calculate the greatest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/12587 + -25181\/88109. Put 0.2, p, 50\/9 in ascending order.\nAnswer: p, 0.2, 50\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j + 66. Let i(h) = 7*h + 34. Determine -11*i(b) + 6*k(b).\nAnswer: b + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + -0.2. Let n = -2 - 0. What is the nearest to n in y, 0.3, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -5. Suppose 3*r - 17 = -4*p, -5*r + 5 = 3*p - j*p. Suppose -y + p*c = 0, -3*c + 0*c = 2*y - 14. Put y, -5, 5 in decreasing order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1312 divided by 328?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1136 and 1988?\nAnswer: 7952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -67, 35, 1, -12 in ascending order.\nAnswer: -67, -12, -6, -5, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - -25 - (-8 + (9 - (-2 - -9)) + 13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*x - 1453 + 5005 = 25*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.3, -1.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/3 + 0 + 83844 + -17 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19.935439899 and -0.1.\nAnswer: -20.035439899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/112*-4*-2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 22286688?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -500, -811, -1110, -1391, -1648?\nAnswer: -1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 821. Let q(m) be the third derivative of -m**4\/8 - 3191*m**2. Calculate q(j(g)).\nAnswer: -3*g - 2463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 245 + -242. Solve 5*i + 31 = 3*c - 3, -5*c = -o*i - 30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -6 (b) 0.0599 (c) 0.02 (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5)*q*q*q**(-2\/19)*q\/(q\/((q**(-1\/4)*q)\/q*q))*q**(-1\/6))**(1\/39) assuming q is positive.\nAnswer: q**(3281\/44460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.55 - -2.25. Let z = b + -2. Let p = 13 - 9. What is the second smallest value in z, p, 11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -71 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -9 + -6 - (-1 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*o - 732, -7*x - 488 = -2*o - 2*x. Suppose 5*v - 1258 = -w, 5*v + 5*w + o - 1514 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -417181.7 rounded to the nearest one thousand?\nAnswer: -417000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 + 505242?\nAnswer: 505254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(112)*2 + 2 - sqrt(112))*2)**2.\nAnswer: 80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p**2 - p. Let v(j) = 4*j**3 - 14*j**2 - 3*j. Let h(u) = 3*b(u) - v(u). Find the third derivative of h(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:21 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157086918.\nAnswer: 2, 3, 23, 79, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941f7 (base 16) to base 2.\nAnswer: 10010100000111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/2*(-32)\/(-12). Let m = w - -34. Let u(t) = -t + 1. Calculate u(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7256 - 7281. Which is the closest to v? (a) -0.1 (b) -3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**3 + 1176310*l**2 - 69185260805*l = 0.\nAnswer: 0, 117631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*u**3 + 2*u + 5*u + 19*u**3)*(3 - 3 - u).\nAnswer: 5*u**4 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 703749763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 4. Suppose 3*s - 9 - y = 4*m, m = -1. Find the first derivative of -2*w**4 + 0 + 0*w**4 - s wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j\/j**(-24))\/j)\/j*j*j*j*j**(-6\/5))\/(j\/(j\/(j*j**(-3\/13)*j)))**38 assuming j is positive.\nAnswer: j**(-2628\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 9:29 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = -15. Let b be -3 - ((-3)\/r + -8). Solve -3*d = -2*d + b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16233014 by -331286.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 2. Let l be w*((-2)\/1)\/2. What is the first derivative of -2*a**4 + 2*a**4 + 5 + 2*a**4 - l wrt a?\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 197, 290, 421, 590, 797, 1042?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 9 - 9)*(-4 + 4 - 2*v)*(6*v + 0*v + v).\nAnswer: 70*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 48. Let q(j) = -j + 57. Let h(w) = -6*l(w) - 5*q(w). Let b(x) = 1. Give -15*b(y) + 3*h(y).\nAnswer: -3*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16940 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 times -0.1\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2\/7 - 142491*j\/7 - 40710 = 0. What is j?\nAnswer: -47495, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z**2 + z. Let w be h(-1). Let l be (w\/(-54))\/((-1)\/(-2)). Which is the third biggest value? (a) -0.3 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/700)\/((-3)\/(-10)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1120, -1121, -1122, -1123, -1124, -1125?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 73*t + 24.\nAnswer: (t + 24)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144565 + 144565 - 3209*r**2 - 4998*r**2.\nAnswer: -8207*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n**3 - 4*n**2 + 4*n. Let i(w) = w**3 + w**2 - w. Suppose -2*s - 14 = -3*j, -16*j + 13 = -12*j + 3*s. Determine j*i(f) + k(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n\/(n\/n**(-2\/21)*n))\/n)**(9\/4)*n**6\/n**(-1\/7) assuming n is positive.\nAnswer: n**(103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s - s + 33*s - 2*s + 4*s + 0*s + (-4 + 4 - 2)*(0*s - s + 0*s) + 2*s + 3*s - 4*s to m + t*s and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 1808539354?\nAnswer: -1808539336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95720 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 979*y - 977*y + 2*n = 30, -5*y = 2*n - 75. Let q(o) = -o**2 - 10*o - 8. What is the remainder when q(-6) is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = 2*f, -14 = 3*f - 3*p - 2*p. Let d be (0 + -1)\/(-5 - 133\/(-28)). Let 0 + 0*b + 4\/9*b**d + 2\/9*b**3 + 0*b**f + 2\/9*b**5 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 321 + f**3 - 321. Let u be (2 - -1)\/1 + -2. Determine z(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 582. Let r(h) = h + 583. Determine -5*d(x) + 6*r(x).\nAnswer: x + 588","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Suppose -o*j = -j - 4. Suppose -j*u = 5*k + 8, -2*u - 7 = -3*u + 3*k. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 384 and 2269122?\nAnswer: 145223808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-2))\/(1\/(7\/(-49)*-7))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6745 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 616 - 609. Which is the third smallest value? (a) -4\/5 (b) -1.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/7)\/(-2) + 6\/42\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 41 - 81 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**4 + s**2. Let d(a) = -12*a**4 + 6*a**2 + 20*a. Let x(q) = -d(q) + 6*g(q). What is the second derivative of x(v) wrt v?\nAnswer: 216*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03376653066 rounded to five decimal places?\nAnswer: 0.03377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 551?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001967 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 90267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.64*-0.3\nAnswer: 0.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165699144?\nAnswer: 2, 3, 13, 211, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215718284 is divided by 931?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n + 153*n**2 - 194*n + 1629*n + 456*n.\nAnswer: 153*n**2 + 1880*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhhh. Give prob of sequence lh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 816263 to the nearest one thousand.\nAnswer: 816000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 + (-33 - 39 - -36) + 10.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 4*a = 3*m + 6483, 4*a + 1311 = m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 14*w - 154 = 0, 732*z - 705*z = -5*w - 55 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 8, v: 2}. What is prob of sequence ng?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 132*f**2 + 104*f - 1696. Give i(-133).\nAnswer: 2161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 5. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqh. Give prob of picking 1 y and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 515967\/5 + -2063863\/20. Let h = 2 + -4. Let s = -4 - h. Which is the smallest value? (a) s (b) 2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17808\/(-265))\/84)\/(10\/(-25)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/7, 3\/5, 0.1, 1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**3 - 7*a**2 + 5*a - 1. Let y(f) = -f**3 - f**2 + f. Let q(v) = -j(v) + 5*y(v). Determine q(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4*m - 4*m - 2*m)*(-2*m - m + 4*m) + 6912*m**2 + 8185*m**2 - 3269*m**2)*(-3*m + 3*m - m) to n*m**2 + i*m**3 + p + v*m and give i.\nAnswer: -11826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923 (base 14) in base 16?\nAnswer: 11bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 1, e: 1, a: 2, p: 1}. What is prob of picking 1 p and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*w + 6 = -5*k, 0 = -2*w - 4. Sort -7, 0.3, k.\nAnswer: -7, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/20 and 23\/880.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/38*-1 + ((-13080)\/(-2640) - 5\/(-110))?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/45 - 54\/10)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351044 (base 6) to base 11.\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -2725.\nAnswer: 817.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 1:41 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**5\/510 - 11*y**4\/51 - 43*y**3\/51 + 45*y**2. Factor b(i).\nAnswer: -2*(i + 1)*(i + 43)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*n**2 + 601 - 601 + 1516*n**2.\nAnswer: 1585*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2\/7 + 53674*p\/7 - 859296\/7 = 0. What is p?\nAnswer: -26853, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1364 is divided by 296.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -106*5\/10 + -4. Let m = s - -59. Solve -3*r - m*r + 33 = 4*j, -5 = 5*j - 3*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(927\/(-132) - (0 + -7)). Calculate the highest common factor of h and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let k(i) = 1468615*i**2. Calculate f(k(h)).\nAnswer: 2156830018225*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 17*p - 21*p - 1.\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -62421866\nAnswer: 24968746.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 2:47 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 153607079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from uuubboqqqqubd?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 = 2*b - 5*f - 440, 0 = 2*b + 3*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*k = -2*k, 0 = 4*o - 4*k - 40. Let w = o - 5. Suppose 7*h - 10*h - 12 = w. Let x(j) = -j**2 - 3*j - 2. Calculate x(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000432 rounded to 7 dps?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529237677?\nAnswer: 3, 37, 101, 47207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32 + -1 + (-1 - -4). Calculate the greatest common divisor of 85 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -313*z**3 + 17*z**2 - 102*z - 32. Let s be c(39). What is s rounded to the nearest one hundred thousand?\nAnswer: -18500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*(-6 - -3). Let z be ((-1)\/w)\/(1\/6). Suppose -6*t + 3*k + 129 = -z*t, 151 = 4*t + 3*k. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16195259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - 4*l**2 + 4*l**2)*(-2 - l + 2) - 253*l**5 + 228*l**5 + 582*l**5.\nAnswer: 556*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - j - 1 + 0 - 13 - 9*j.\nAnswer: -3*j - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - l = -2 - 9, l = 5. Solve s - 14 = 2*i, -10*s + 14*s + 2*i = w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*i - 7057 = 4771 - 2498 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -624*l = 1316 + 13366 + 1542 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -10, -36, -70, -112, -162?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/750 and 149\/33750.\nAnswer: 33750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by 3\nAnswer: 95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 smaller than 42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.02 - -2.8. Let k = o - 2.18. Let u = k + 7.7. What is u rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-11 - -3 - (1 - -3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.18 rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3914.86 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 + (0 - -1))*(-4)\/(-14). What is the second derivative of 3*f**4 + 615*f**q - 612*f**2 + 26*f - 12*f**4 wrt f?\nAnswer: -108*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2339, 59, 31 in descending order.\nAnswer: 2339, 59, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, 3, -4 in descending order.\nAnswer: 3, -4, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -223.1, 2\/3, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13686.156 to the nearest one hundred.\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 19 = 2*m, -4*w = -3*m - 2 - 4. Suppose 6 = 5*h - m*h. Factor 0*i + 4\/7*i**h - 16\/7.\nAnswer: 4*(i - 2)*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*u + 79*u - 1370 = 0. What is the second derivative of 278 - 4*o**2 - u - 3*o + 7*o**2 wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -62*b**2 + 9*b - 21. Let o(q) = -55*q**2 + 8*q - 17. Calculate 5*n(f) - 6*o(f).\nAnswer: 20*f**2 - 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 12*i + 221. Let r = 219 - i. Let s = -2 + 6. What is the third biggest value in -0.4, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 8:15 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -45 + (-2 - -2)\/(-2). Let z be (-6)\/(-9)*s\/(-10). What is the greatest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {s: 6, i: 3, j: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -168, -172, -176, -180, -184?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*5160\/(-7224)*(-4)\/75\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a. Let q be i(-2). Let t(s) = s**3 - 8*s**2 + 7*s - 7. Let v be t(q). Suppose 51 = 5*x - v. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/36 + 95\/(-2)*-1. Suppose 10*j - 13 = x. Solve -j*b - 9 = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 3 - 3. Suppose -3*o = -4*o - 4. Let t(g) = -9*g + 5. Let i(m) = -8*m + 4. Let d(p) = o*t(p) + 5*i(p). Determine d(f(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -2568, -6652, -12384, -19770?\nAnswer: -28816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 m, and 1 n when four letters picked without replacement from {o: 2, n: 5, s: 1, v: 5, m: 5, x: 2}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -138, 243, 1092, 2409, 4194?\n\"Answer: 234*q**2 - 321*q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1205, 9459, 31827, 75365, 147129, 254175?\n\"Answer: 1176*a**3 + a**2 + 19*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 58 (b) -4 (c) 0.4 (d) 3 (e) -2\/11 (f) 1\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r**2 - 11*r - 14. Let i(a) = -9*a**2 - 7*a - 9. What is -8*i(q) + 5*t(q)?\nAnswer: 2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -1216715?\nAnswer: 1216717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 267.6219, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-87338)\/407708 - (-216)\/1008. Is i less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = 3*g + 32*n - 29*n, 638 = 5*g + n. What is the remainder when g is divided by (-1)\/((-2)\/152*4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4338 + 3783. Let a = -4120 + y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(170) + 6*sqrt(170)*2 - (((sqrt(170) + (-1*sqrt(170) - sqrt(170) - sqrt(170)) - sqrt(170)) + sqrt(170))*4 + sqrt(170)))\/(3*4*sqrt(10)*1)*6.\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19031 + 62619 = -1444*r - 90186 for r.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 12*p**2 - 43*p + 35. Let z be r(-15). Solve 2*m + 3*t + 13 = 0, z - 15 = -5*m + t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 886 divide 7639978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120447.\nAnswer: 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 82, 232, 468, 790, 1198, 1692?\n\"Answer: 43*y**2 + 21*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146 (base 14) to base 10.\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/25)*d*d\/((d**(-3\/10)*d)\/d))**(10\/7))**(-2\/35) assuming d is positive.\nAnswer: d**(-46\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - 17) + 31 + -18 + 11 + -13.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 597447316 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 6:25 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((691 - 5797 + 2807)*(-5 + 3 + 3) + 0 - 1 - 1)*(-t - 5*t + 4*t) to v + i*t and give i.\nAnswer: 4602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 11*v + 41. Suppose 3*q - 2*s = 3*s + 71, -3*q = 3*s - 39. Calculate the least common multiple of q and b(6).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**5 + 3*j**3 - 3*j**3 + (-3*j**2 + 2*j**2 + 0*j**2)*(-j**3 - 2 + 2) + 644 + 176*j**5 - 644.\nAnswer: 175*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (-1 + 4 + -4 - -1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 25*o**4 - 328570*o**3 - 4340220*o**2 - 16575480*o - 14208480 = 0?\nAnswer: -6, -6\/5, 13156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8 and 9\/46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/8 - 20\/80. Let q(w) = -3*w + 10. Let g(i) = 7*i - 2. Let m(t) = -4*t + 1. Let j(y) = -3*g(y) - 5*m(y). Let u(n) = 5*j(n) - q(n). Give u(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 723 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -225 divided by 29?\nAnswer: -225\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwwuwu. What is prob of picking 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 4325432, -0.4, 2, 4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5665*x - 373330 = -5675*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51201085417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 87a9 (base 12) to base 13\nAnswer: 6a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) - (sqrt(170) + (1*sqrt(170)*-4 - sqrt(170)) + sqrt(170)))\/(sqrt(5) + (sqrt(5) - -2*sqrt(5))*3))\/(4*(sqrt(2) - sqrt(72))*-6*-6))**2.\nAnswer: 17\/3240000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.733577 to 2 decimal places.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10029, -10, 25.\nAnswer: -10029, -10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - x = -14, -2*u - 2*x = 6 + 2. Let f = u + 2. Let g(y) = -y - 5. Give g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - z. Let j(v) = -8*v**2 - 19*v + 1820. Let a(g) = -3*b(g) + j(g). List the prime factors of a(0).\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Let v(h) = -a - 3 + 1 + h - 8. Suppose 0 = -14*o + 6*o. Calculate v(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s\/(s**(-1\/7)*s)))*s\/(((s*s*s**8)\/s)\/s*s*s))\/(s**(-3\/2)*(s**6*s)\/s))**(-35) assuming s is positive.\nAnswer: s**(935\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14946 and -21.\nAnswer: 313866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 0 - 3*x - 1\/6*x**3 - 5*x**2. Let j be a(-10). Solve -3*i + 9 = -3*u, -4*u = -2*i - j + 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225176 is divided by 405?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 127\/(-254)*220*(6\/10 - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -1)*1\/(-2). Suppose i = -w + 2. Find the first derivative of -m + 0*m + i + 1 wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5 + 5. Let x be 10\/z + 20\/14. What is the closest to 2\/5 in 2\/5, -0.4, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100111110101000100 (base 2) to base 3\nAnswer: 1021220222022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 6 = a, -442*t + 62 = -3*a - 443*t for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 19*l**2 + l - 8. What is the hundreds digit of a(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 626401152?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105862, 211720, 317578, 423436, 529294?\nAnswer: 635152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 40. Let n = 11 + r. Let v be (-7)\/(-28)*6*-1. Which is the biggest value? (a) 1 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -k + 4. Suppose j + 3*q = k*j - 15, -5*j + 10 = -2*q. Suppose a - w - 12 = j, 0 = 3*a - 4*w + 12 - 45. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5866792 millennia to decades.\nAnswer: 58.66792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505465?\nAnswer: 5, 43, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l - 37*l + 50*l - 1025 = 0 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1*(-4)\/((-832)\/(-8)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - 12570?\nAnswer: -12624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/(-12)*-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(5\/2)*h)\/h*h*h**(5\/2)*h*h**(-9)\/(h\/h**(-9)) assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 149800867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13636\/5 - -2727. Put v, 0.044, 5 in decreasing order.\nAnswer: 5, 0.044, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 392 divided by 98\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 417121363 and 0.22.\nAnswer: 417121363.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4 - x**2 + 9. Let o(n) = 21*n**3 - 11*n. Suppose -6*c = -3*c - 5*p + 14, -16 = -4*p. Calculate c*o(l) - 11*d(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 601127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -27250026*o + 60. Let q = -6 - -3. Let a(v) = 5450005*v - 12. Let g(z) = q*n(z) - 16*a(z). Let p be g(6). Round p to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 + 279653*u - 1957522 = 0. Calculate u.\nAnswer: 7, 279646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h + 15 = l, 2*h = -2*l - 2. Let c(j) = 4 - 283*j**2 - j**3 - 1 + 149*j**2 - 2*j - 4 + 138*j**2. Determine c(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -29. Solve v = -f + 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4973000 to the nearest one hundred thousand.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**3\/3 - 3*k - 2. Let v(y) = -2*y**2 + 8. Let m(u) = -8*f(u) - 3*v(u). Let b(z) = -3*z**2. Give m(b(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + 125 - 144 + 93)*(l**4 - 3*l**4 - l**4).\nAnswer: -477*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-10))\/((-39)\/52)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + s + 48, -s - 13 = 3*r - 6*s. Let m = 5 + r. Let n(y) be the second derivative of y**5\/20 + y**4\/2 + 2*y**2 + 112*y. Calculate n(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -2ca65877?\nAnswer: -2ca6587a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 688551*d*v**2 + 3*v**2 - 2960*v + 4 wrt d.\nAnswer: 688551*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03000021 + -0.03. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**3*t**17 assuming t is positive.\nAnswer: t**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -f + b - 2, -3*f + 4*b - 11 = 0. Suppose -h + 2*k + 3*k = -56, 3*h = -f*k + 168. Let n = -39 + h. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -352868*n**3*x**2 + 2*n**2*x**2 - 2*n**2*x + 2*n*x + 3126 wrt n.\nAnswer: -2117208*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11815 and -88.\nAnswer: -1039720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z + 4 = -61*z, 0 = 2*j - 5*z + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6224 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3*7\/12*4\/((-12)\/(-3))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212021 + -1201?\nAnswer: -2220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**3 - 2*w**3 + 5*w**3)*(-5 + 4 + 2 - 15 - 9 + 48 + (4 - 1 - 4)*(-4 - 3 + 5)).\nAnswer: -54*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 30 + 47. Suppose 3*h - 223 = w. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -226*(-4)\/8*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 15\/10*(3 - -37).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5451 + -5439. Suppose d = 2*o + 24, -3*o - o = 16. What is the highest common divisor of d and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100000 - 10?\nAnswer: 11011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 16. Suppose 15 = 4*x - l. Suppose -3*v + v = -8. Calculate the greatest common divisor of x and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -183752601.163 + 0.17\nAnswer: -183752600.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1201599070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m - 31. Let h(t) = -129*t - 8. Calculate the remainder when h(-1) is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 3:36 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 17*l**2 - 17*l - 14. Let w = 23 + -39. Let h be j(w). Suppose -h = n - 12. Calculate the lowest common multiple of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 121*p**6\/255 - 5346*p**5\/85 + 119066*p**4\/51 - 28512*p**3\/17 + 7744*p**2\/17 + 2*p - 3462. Factor l(v).\nAnswer: 2*(v - 44)**2*(11*v - 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1\/2, 235\/6?\nAnswer: 235\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**2*r)\/r)*r**(7\/5)\/r)\/(r*r*r**(-6)*r*r*((r\/r**(4\/7))\/r)\/r*r*r) assuming r is positive.\nAnswer: r**(34\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 4 = 9*d. Suppose 0*w = 5*w. Suppose d*j - j - 105 = w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/20 - 2*w. Let y = -10 - -18. Let p(b) = 13*b**3 + y*b**3 - 25*b**3. Give 2*p(k) - 6*x(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 9*h + 16. Let x be y(-6). What is the highest common factor of x and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 156016, 305467, 454908, 604333, 753736, 903111, 1052452, 1201753?\n\"Answer: -z**3 + z**2 + 149455*z + 6561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.7 + 380.7927216379\nAnswer: 376.0927216379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13673521?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -869, -856, -843, -830?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7168.362km?\nAnswer: 7168362000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 1 + 8 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 14*w + 2816 = 0. Let f be (-16)\/(-3)*24\/w*-8. Solve -3*z = f*v + 11, v = 5*z + 28 - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2111727*a**5 - 5955960*a**2?\nAnswer: 126703620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144*-0.8.\nAnswer: -115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 9*a - 1. Let o be q(-6). Let z = -14 - o. What is the remainder when 16 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24658949102 - 24658948855.000000206. Let n = u - 247. What is n rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of (-21 - 21)\/(4\/(-268))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1\/2))\/(q*q**5)*(q*q*q*q**(-1)\/q)**(2\/41)*(q*q\/q**(3\/8)*q**4)**30 assuming q is positive.\nAnswer: q**(26945\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1989\/((-1)\/(8\/6)). Let f = -23822\/9 - u. What is the common denominator of 59\/6 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -11. Suppose 0 = 5*g + s*o + 2*o - 35, -3*o = -3*g - 3. Does 13 divide (-272)\/(-6) - 1\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, m: 12}. Give prob of picking 3 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 19 - (610 + -652).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 14) to base 7\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 68. Let w = h + 75. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.82 - -8. Let i = -40 + s. Which is the nearest to i? (a) -0.2 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8056*p**3*v - 506*p**3 - 3*p wrt v.\nAnswer: 8056*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46547 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from ookkkkkkkk.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 11*t - 10. Let r = -6 + 11. Suppose -3*j + 6*s + 47 = s, -4*j + r*s + 56 = 0. What is the units digit of m(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22*1*2\/4. Suppose 4*w + 39 = 3*i, w - 2*i + d = -5. Do w and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 - 0.68. Let f = -0.3 - s. Let o = f + -0.24999903. Round o to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 1\/24*c**4 + 0*c - 1\/120*c**6 + 1 + 1\/60*c**5 + 23\/2*c**2 + c**3. Let g(a) be the second derivative of b(a). Calculate g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3713*k - 1578. Is 50 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -7*u + 5*b, -u - 37*b - 34*b + 61 = -66*b + 201 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 2, -0.02, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 256, 320, 410?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 509925 and 0.3?\nAnswer: 509924.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4916 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3648727 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 227*k - 526. What is the tens digit of a(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1\/16, -1\/14, -0.13, -8 in descending order.\nAnswer: -1\/16, -1\/14, -0.13, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -731 (base 13) to base 6\nAnswer: -5355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 33*i + 1056. Determine t(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25c6c12 - 1?\nAnswer: -25c6c13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 194205691.\nAnswer: 5\/194205691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = 0, 0 = -0*p + 2*p + 4*g - 28. Suppose -4*y + 3*k + 2*k + 10 = 0, 4*k = -p*y - 8. Solve y = -6*w + 4*w - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(0 - 3\/(-15)). What is the remainder when 1\/(-1)*c + -1 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4356631706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*d - 20 = 0, 4*g + 6*d - d = -5. What is the first derivative of g - b**2 - 2*b**2 + 1719*b**4 - 14 - 1725*b**4 wrt b?\nAnswer: -24*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 8*y + 7. Let l be 2 + -5 - (-6 - 3). Suppose -3*s - 18 = -3*u, 3*u + 10*s - 32 = l*s. Calculate k(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-132)*133 - -3 and -89\/192?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -212.90036962 and -0.007.\nAnswer: -212.90736962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - 70*q**2 - 294*q - 106. Calculate m(-30).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/19314)\/((-43358)\/(-132834981)). Let x = 4\/269439 - o. Let p = 14\/111 + x. What is the common denominator of -77\/34 and p?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 + 13*f**4 - 11*f**3 + 2*f**2 = 0. What is f?\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/35 - (-47)\/7. Suppose 0*j - 4*j = -12. Suppose 4 + j = f*b. Solve -b = -5*q + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 394, 5, 4, 20.\nAnswer: -2, 4, 5, 7, 20, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h - 35*h = 154154. What is the derivative of -14020 + h - 227*p**2 + 53*p**2 wrt p?\nAnswer: -348*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2896489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 87 (b) -208 (c) 1.7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*l + 3*l. Let j = l - 5. What is the remainder when 3 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 14.31564 grams?\nAnswer: 0.01431564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/10 + 18*j\/5.\nAnswer: j*(j + 36)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1498*u + 218595 = 803*u for u.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326\/(-1630) + -4 + (-7)\/(70\/408).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa1 (base 12) in base 16?\nAnswer: -619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -1. Let f be k\/11*2\/7. Factor f - 2\/7*m**2 + 0*m.\nAnswer: -2*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 3)*-1 - -1. Suppose 0 = 5*d - i*d - 3. Let y = 3 - d. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r**5\/150 + r**4\/30 + r**3\/5 + 2*r**2 + r. Let z(o) be the first derivative of j(o). What is g in z(g) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 16 = 4*g + 8*g, -36*q + 72*q + g = 25*q - 84 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**4 + f**3 + f**2 + f - 1. Let b(y) = -y**4 + 6*y**3 + 3*y**2 + 6*y - 6. Let m(d) = b(d) - 6*s(d). What is the third derivative of m(k) wrt k?\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2 - 9*u + 2. Let a(p) = -8*p**2 - 26*p + 6. What is -6*a(x) + 17*l(x)?\nAnswer: -3*x**2 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6577.\nAnswer: 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*c + 2, 161*z + 18 = 164*z + 3*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -246 + 197. Let m = -49 - t. Let q(w) = -w**2 - 15. Determine q(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7799 - 7793. Let c(v) be the third derivative of -v**4\/24 + 2*v**3\/3 - 3*v**2. Give c(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.9 + 4.1. Let o be -1 - -2 - 200\/150. Put w, -1, o in decreasing order.\nAnswer: o, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 6.677878 years?\nAnswer: 0.006677878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4026897 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: What is the second derivative of 2*i**3*m**2 + 1397*i**3*m*w**2 + 2*i**3*m*w - 19*i**2*m**2*w + 2*i**2 - 4*i*w - m**2*w**2 wrt w?\nAnswer: 2794*i**3*m - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllm when four letters picked without replacement from {l: 7, m: 3}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 - 1290*d**2 + 110940*d - 3180280 = 0. Calculate d.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 77.6. Which is the third smallest value? (a) -16 (b) 1\/2 (c) f (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6675607?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11308 and 52844.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixvixxfixxii. Give prob of sequence vi.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*i - i - 16, 25 = 5*o. Let j(w) be the second derivative of -1\/60*w**5 + 0*w**2 + 1\/18*w**4 - 1\/18*w**i + 2*w + 0. What is c in j(c) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*j - 8 = 0, 166*j = 161*j + 3 - 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2323 + -3?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p - 12. Suppose 2*b - b + 2*m - 3 = 0, -3*b + 4*m + 9 = 0. Let i = b + -8. Put i, p, 0 in decreasing order.\nAnswer: p, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 13 - (0 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*z - 1350, -3*g - z + 940 = -1069. What is the highest common factor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71459480 divided by 290.\nAnswer: 246412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0, -19, -153 in descending order.\nAnswer: 1, 0, -1, -19, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63023 is divided by 4158?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 20db6a8?\nAnswer: -20db6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 11*s - 52*s**2 - 3 + 16*s**2 + 37*s**2. What is t(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11064859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-273) - 230\/26. Let g(v) = 3*v. Let s(o) = -14*o. Let w(i) = l*g(i) - 2*s(i). Let f(n) be the second derivative of -5*n**4\/6 + n. Give w(f(r)).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 165\/(-36) + (-8)\/(-32)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 16*g**2 - 425*g + 44. Let r be h(30). Calculate the greatest common divisor of r and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/48 and 163\/53100?\nAnswer: 212400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 30 = 4*x - 146, -5*x + 24 = n. Let y = 26 + -26. Suppose -f + 5*c + 21 = y, c = -2*f + 2*c + 24. What is the greatest common factor of f and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3)*(15 + 0). Let r = 3 - n. Calculate the common denominator of 91\/8 and r\/(-9) + (-974)\/252.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170442, -170406, -170370, -170334?\nAnswer: -170298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*w + 1008 = -50*w + 78*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236762 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 + 4*w - 8. Let d be y(-5). Let i = 7 + -65\/7. Is d at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s = -85*s + 38 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18479 - -955. Is a a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131*a**3 - 40*a?\nAnswer: -786*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177808 (base 11) to base 2.\nAnswer: 1000010110110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -702 (base 11) to base 2.\nAnswer: -1101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88754 is divided by 102?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:56 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359 + 1100 - 374 - t - 367.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13442 by 22.\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4\/7 - 3116*s**3\/7 + 6229*s**2\/7 - 3114*s\/7 = 0?\nAnswer: 0, 1, 3114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 683000?\nAnswer: 683000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(234))\/sqrt(6))\/(sqrt(6)\/sqrt(2)*-5) - ((sqrt(832) - (sqrt(832) - (sqrt(832) + -1*(2 + sqrt(832)))))**2 + 4).\nAnswer: -8 - sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i*q**4 - 16*i*q**3 - i*q**2 - 14*i - 2 wrt q?\nAnswer: 96*i*q - 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 123, 185?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -65*z**3 + 14*z**2 + 45*z + 31. Let x be p(-2). Let b be 282\/4*(-8)\/(-12). Calculate the greatest common divisor of b and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (702528\/(-240))\/((-8)\/130)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*i + 14, -2*n + 10 = 4*i + 12. Solve -n*j = -5*r - 9*j - 17, -5*j = 2*r + 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -11.2. Let p = 3 + w. Which is the biggest value? (a) p (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -24379?\nAnswer: 5\/24379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 2*p)*(2*p**4 - p**4 + 0*p**4) + 5*p**3 - 5*p**3 + 2*p**5 + 0*p**4 + 4*p**5 + 0*p**4 + (2*p**3 + p**5 - 2*p**3)*(3 - 6 + 1).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.68963nm in millimeters?\nAnswer: 0.00000768963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -9\/16*o**4 + 78 + 1\/20*o**5 + 2\/3*o**3 + 0*o**2 + 0*o. Factor g(d).\nAnswer: d**2*(d - 8)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0 (c) -0.1 (d) -1 (e) -0.5 (f) -7\/5 (g) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693 is divided by 561?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 1239.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let n(k) = -4 + k**2 + 3 - o*k**3 + k**2. Let r(y) = y**2 + 2*y - 2. Let c be r(-3). Calculate n(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -4, -164, 21, 0.1, -1.8?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2757948*f - 1378974*f - 1378966*f.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131520 and 15672.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1362*f**3*t**3 + 8*f**3 + 6595*f**2*t - 6*f*t**2 + 3*t**3 wrt t?\nAnswer: -8172*f**3*t - 12*f + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 - -82. Which is the second smallest value? (a) 8 (b) -5 (c) l (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 1345 + 3222 - 475 = 0. Calculate the remainder when f is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 34*c + 758*c - 26 + 275*c in the form r*c + b and give r.\nAnswer: 1067","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 149969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2178 = 2*f - 2184. Let m = -0.4 - 0.1. Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = f. Let q = 9 + 3. Suppose q = g - f. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h - 12*h + 3 + 2*h)*(-1 - 1 + 1 + (-1 + 0 + 0)*(-2 - 3 + 7)).\nAnswer: -12*h - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 3*t**4\/2 + 7*t**3\/3 - 8. Find the third derivative of k(w) wrt w.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3687925 and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 6*g. Let c be a(5). Suppose 0*r = c*r - 210. Suppose -5*v = -117 + r. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -4 + 1)*(-48)\/(-36). Put j, 11, -5 in increasing order.\nAnswer: -5, j, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*k**3*z**2 + 1062357*k**3*z - k**2*z**2 - 163590*z**2 - 99*z wrt z?\nAnswer: 78*k**3 - 2*k**2 - 327180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 26*h + 79. Give n(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, x: 2, o: 1, s: 1, y: 1, t: 3}. Give prob of picking 1 s and 1 r.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3053 - -3.3. What is v rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*n**2 + m*n + 7*m + 154*n**3 - 59*n**2*z - 48*n*z - 2*z - 2 wrt n?\nAnswer: 2*m + 924*n - 118*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 8. Let z(u) = -u**2 + 7*u + 86. Let y be z(-6). Give g(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.5 + 1.8. What is the biggest value in o, 0, -43?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 162*u**4 + 2649*u**3 - 13656*u**2 + 28260*u - 20400 = 0. Calculate u.\nAnswer: -68, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 20*j - 18. Let o be -28 - -18 - 2\/(-2). Let u be l(o). Factor u - 1\/4*i**4 - 1\/4*i - 3\/4*i**2 - 3\/4*i**3.\nAnswer: -i*(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4330 is divided by 255.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y - 2 = 39*y. Let r(u) be the first derivative of 0*u**3 - 2 - 1\/18*u**4 + 4\/9*u + 1\/3*u**y. Suppose r(a) = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 3. Let v be n(10). Solve r - 3*x = -10, -v = -x - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 y when four letters picked without replacement from {y: 6, t: 3, o: 1, w: 1, z: 1}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 863433\/32 + -26980. Let s = -5\/239 - 11193\/1912. What is the common denominator of c and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, i: 12, x: 6}. What is prob of sequence ixix?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 - 2*n**2 + 2*n + 1. Calculate v(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.284 - 0.151. Round c to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k)*(0 - 1 + 2) - 1897 - 2571*k + 1897.\nAnswer: -2572*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(4 - (2 + -4)). Let w = -4 - m. Let z(u) = u**2 - 2*u + 1. Give z(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 + 208. Calculate the greatest common divisor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -14187?\nAnswer: -14191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -12 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 3, -31, -4, 4 in decreasing order.\nAnswer: 4, 3, -4, -8, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5756 divided by -4\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*v + x = -733, 3*v + 53307*x = 53304*x + 1 + 5 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -15*i. Let j(d) = -5*d**2 + 19 + 5 - 24. What is j(f(k))?\nAnswer: -1125*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0 = 2*c - 47, -42 = -2*c - 2*u. Let g be (c\/24 - 5) + 5. Find w such that -g + 2\/9*w**2 + 4\/9*w = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:39 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(-3 + 2 - 1)*(-1 + 0 + 3*i - 5*i) + (0 - 1 + 2)*(-23*i - 7*i - 22*i).\nAnswer: -40*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27104 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(1\/((-32)\/8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prg when three letters picked without replacement from {g: 2, r: 4, p: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56763 and 159.\nAnswer: 56763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 6:10 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -7. Let f = -1 - y. Put 0, f, -1 in descending order.\nAnswer: f, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6, 25*p - 21*p - j - 54 = 0. Solve -p*x = x - 90 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.9 minus 120895?\nAnswer: -120855.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -19f0d38?\nAnswer: -19f0d35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1646)\/(-8) - 2\/(-8). Calculate the greatest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 6929930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 4 (c) -0.4 (d) 3889 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 2*n. Let t(s) = -14*s**2 + 4096*s - 2852. Let v(h) = t(h) - 6*u(h). Find the first derivative of v(b) wrt b.\nAnswer: -4*b + 4108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 1289*i - 1255*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20212 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 + 18007*j + 72052. What is a(-4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -0.61, -103, 3, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 184*g**2 - 1324*g - 2. Let a(r) = r**2. What is p(a(t))?\nAnswer: 184*t**4 - 1324*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -7*x**4\/12 + 5*x**2\/2 - 3*x. Let p(h) = 8*h**2 - 6. Suppose 4 = -v - 1. Give v*p(f) - 6*l(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22218223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 + 5.13. What is the closest to 1\/4 in 0.5, 1, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 5*l**2 - 4*l + 3. Let p be f(-4). Suppose -4 = -p*s + 2*s. Differentiate 4*n**4 - 2*n**s + 1 - 3 wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r - 434. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 63. Let n be s(23). Let x = 39 - n. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170\/10 + -23 - (-32)\/2 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 839035054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3692\/(-497)*42\/12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203 and 116?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 + 138*w**4 - 21*w**2 - 21*w?\nAnswer: 120*w**2 + 3312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 2*z**2 + 1201*z**3 - 1225*z**3.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrsrrsrrsssrrrr. What is prob of sequence rss?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2 = 4*g, -10 = -4*g + 9*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 14*k**2 + 15*k + 17. Let c be q(-11). Round c to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -0.5, -70, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-1 - 2\/(-7)). Let p = -168.71 + 167.9893. Let g = 0.2207 + p. Which is the nearest to v? (a) 0.5 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 l when four letters picked without replacement from {l: 5, h: 2, w: 9}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31140011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/(a**(-8)\/a))\/((a*a**(-1\/4)*a*a*a)\/a**(1\/5)) assuming a is positive.\nAnswer: a**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*z**2 + 0 + 55*z + 1\/4*z**3.\nAnswer: z*(z - 110)*(z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117578?\nAnswer: 2, 58789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - 112\/(-49). Differentiate -1755*o**2 + 1767*o**z - 11 - o**3 + o**3 - o**4 with respect to o.\nAnswer: -4*o**3 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309449, -309386, -309323, -309260, -309197?\nAnswer: -309134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**4\/4 - 3*r**3 - 9*r**2\/2 + 8*r + 1. Let c be h(-8). Suppose -c = -w - 3*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28733253, 28733264, 28733287, 28733328, 28733393, 28733488?\n\"Answer: y**3 + 4*y + 28733248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15862 by -11.\nAnswer: 1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) + (-234)\/8. Let z be ((-450)\/(-3 - -9))\/1. Let f = n - z. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/3 + 14*k**4\/3 - 49*k**3\/3 + 34*k**2\/3 = 0?\nAnswer: -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 448.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10264400 + 26?\nAnswer: 10264426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x. Suppose 284 - 284 = 5*m. Factor 0*g**4 + 2\/7*g**5 - 6\/7*g**3 + 4\/7*g**2 + x + m*g.\nAnswer: 2*g**2*(g - 1)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - -115. Let j(d) be the first derivative of d**3\/3 - 2*d**2 - 10*d - 5. Let v be j(9). Solve r*n = 2*a - n - v, 15 = -3*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21293432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 - 6*i + 3. Let p be w(6). Let z = 0 + p. Solve 3*k**5 + 2*k + 4*k**2 + z*k**5 - 4*k**4 + 0*k**4 - 8*k**3 = 0 for k.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d014 + -4?\nAnswer: -1d018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 8*a + 2. Let y be d(6). Suppose 4*t - 11 - 7 = -3*z, -2*t = 4*z - y. Solve 4*m - 2 + 0 + 2*m**4 - m**3 - t*m**3 = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 4. What are the prime factors of i(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - (11 + -17)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*9393427\nAnswer: 46967135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 361892558?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4244194 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 14 in decreasing order.\nAnswer: 14, 6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**3 + 151*d**2 + 22123?\nAnswer: 9*d**2 + 302*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(2\/109)\/(l**(2\/13)*l\/l**(3\/5)))\/((l**0*l)**28*(l*l**(-1\/5)*l)\/l*l**(1\/7)) assuming l is positive.\nAnswer: l**(-4390487\/148785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 30 = 2*u, 2*o - 42*u - 57 = -47*u. Calculate the smallest common multiple of o and 2718.\nAnswer: 29898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40667 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + 2\/5. Suppose i*o + 6 = 3*o. What is the third derivative of -2*d**6 + 4 - 4 + d**o wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357684\/19 - 18821. Let v = -367\/133 + c. Suppose -3*q = -4 - 2. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2985 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 21. Let t be (3 - 0)*9\/(-11 - (-3 - 11)). Give j(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 23*h**2 - h + 14. Let y be l(-23). Differentiate y*r + 0*r + r + 47 with respect to r.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5466 - 5466.1. Which is the fourth biggest value? (a) 0.4 (b) 11 (c) -0.3 (d) -4 (e) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3602, -5185, -6768, -8351?\n\"Answer: -1583*a - 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*((sqrt(108) - ((sqrt(108) - (4*sqrt(108))**2) + 0 + sqrt(108))) + sqrt(108) + 1)*4 + -2.\nAnswer: -138322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -5. Let z = -14 + 18. Let 4*f - v*f**2 + 0*f**2 + 0*f**4 + 3*f**4 - f**4 - z*f**3 = 0. What is f?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -45.2. Let u = g + -6. Which is the closest to -1\/4? (a) 2\/11 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 705*q**3 + 32*q + 2 wrt q.\nAnswer: 4230*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a century in decades?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88516127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 283267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-3 - 4) + 6 - (7 + -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 2*o**4 + 2*o**2 - 21*o**3 + 13 + 4 - 23 in the form k*o**4 + b*o + f*o**2 + n*o**3 + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25224 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 5*i**2 + 5*i - 6. Let q(d) = 2*d**3 - 36*d**2 - 2*d + 42. Let k be q(18). Determine z(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378439.\nAnswer: 378439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 10*g**2 - 13*g - 18. Determine f(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 9308.\nAnswer: 83772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**6\/195 + 16*i**5\/13 + 53*i**4\/26 + i + 1478. Factor c(h).\nAnswer: 2*h**2*(h + 1)*(h + 159)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**3 + 22684*f**2 - 113296*f - 135984 = 0.\nAnswer: -1, 6, 5666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*f + 412*f - 5687344. Is 82 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {z: 2, s: 3, v: 1, t: 5, e: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 22 + 162 = 0. Solve -g*a = 11*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 180301214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 5:12 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1479 = -25603*c + 25690*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2. Let k(g) be the second derivative of -16*g + 1\/3*g**3 + 0 + 57\/2*g**2. Calculate r(k(q)).\nAnswer: 4*q**2 + 228*q + 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29150 divided by 550?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*u = -11*u - 16416. Let p = u - 857. What is the remainder when 116 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 12741492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7))**(-13)*a**4*a*a\/(a*a*a**(-3\/5)\/a*a)*a*a assuming a is positive.\nAnswer: a**(361\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 6*x - 40\/7.\nAnswer: -2*(x + 1)*(x + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 727, 716, 691, 646, 575?\n\"Answer: -b**3 - b**2 - b + 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 22 - 4 + 52*s**3 - 9.\nAnswer: 52*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3918340 and 1926?\nAnswer: 35265060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 87904310 to the nearest 1000000.\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144149719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2, -2*h + 13*s - 17*s + 42830 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-84)\/(-4))\/((-7)\/(-56)*12). Let d be -1*((-182)\/l - (-1 + -1)). Let y(w) = w**3 - 11*w**2 - 2*w + 8. What is y(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -3\/5, -2, -1042088?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2448*b**2 + b - b - 800*b**2 - 807*b**2 - 816*b**2 + 0*b.\nAnswer: 25*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 835856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 13*t + 14. Let m(v) = -v**2 - 7*v - 7. Let o(c) = 5*m(c) + 2*p(c). What is the common denominator of o(-7) and 73\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2810*h + 97677. Determine a(35).\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-33)\/77 + 11\/(11374\/3058).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27976, -99\/7, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -403 + 423. Calculate the highest common factor of 70 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 888\/25415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 38619 - 38619.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 0*k**2 + k**2 + 26*k**3.\nAnswer: 26*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w + 144 = 6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) 5\/7 (b) 0 (c) -4 (d) -3 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z - 5*z)*(-z + z - 2*z**2 + (4 - 1 - 2)*(4*z - 4*z + z**2)).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7838 + -33811239.\nAnswer: -33819077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3 + (-5 + 8 - (-4 + 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6122797 or 6122796?\nAnswer: 6122797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(3) + -2 - sqrt(3))**2*2 - (-5 + 0 + sqrt(3))) + -4*4*(sqrt(27) - sqrt(3)) + 1.\nAnswer: -33*sqrt(3) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107 - 71)\/(-3024)*-8.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 10799498, 0.3?\nAnswer: 10799498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.007 - 0.022. Let j = -0.065 + z. Round j to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let a be s + -1 - (1 + 3). Let b(n) = 3 + 22*n - 44*n + 23*n - 1. Give b(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 3723 = 17*j. Let w = j - -326. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: a22155 (base 11) to base 14\nAnswer: 30a8b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 4*n**2 + 3*n**2 - 8*n**4 + 2*n**3 - 2*n**2 - 3*n - 2 - 5*n**2 to the form c + w*n**4 + s*n**2 + x*n + q*n**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 13*o + 6. Give r(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2069316*l**2 - 6*l + 44599436 wrt l.\nAnswer: 4138632*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -4*j - 0*l, 0 = -3*j + 2*l - 4. Let n be 1*((-96)\/(-44))\/j. Let t = -94 + 94.2. Which is the smallest value? (a) n (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w*w\/(w\/w**(-1\/5))))*w)**48 assuming w is positive.\nAnswer: w**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1130, -4512, -10152, -18050, -28206, -40620, -55292?\nAnswer: -72222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 509975572 divided by -3072142.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-26)\/36)\/((-35)\/21).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -311 + 311 + 3*s**3 + 5*s in the form m*s**3 + j + f*s**2 + i*s and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 61. Let h = -2 - v. List the prime factors of (h\/(-6))\/((-4)\/(-54)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4562095 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x**3 + 7*x**2 - 23*x + 107. Is 27 a factor of n(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v - 34. Let t be z(3). Let o(i) = -i - 8. Let p be o(-7). Let r be p + 10\/2 - 0. Sort t, r, -5 in ascending order.\nAnswer: -5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 3*c**2 - 226*c + 1163. Give j(7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60395 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b5d (base 15) to base 14.\nAnswer: -d11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16*r - 28. Let l(z) = -17*z - 2. Let u be l(0). Let t be o(u). Factor -3\/4*x**2 - 1\/4*x - 1\/4*x**t + 0 - 3\/4*x**3.\nAnswer: -x*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 40980?\nAnswer: 40980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -747874423222 - 2?\nAnswer: -747874423224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 10*y**2 - 12*y - 15. Let p be u(-11). Let h = p - -4. Find the first derivative of 0 + h*c**2 - 2 + c**2 + 0*c**2 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/335 and -23\/38860.\nAnswer: 38860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 660 = 1836. Suppose -f = -11*t + 3*t. Let i = t - 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (6 + -4)) + 5. Let u(d) = -d**3 + d**2 - 1. Let h be u(1). Sort h, a, -3 in ascending order.\nAnswer: -3, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 17 = 3*d + 9, r + 2*d = -9. Let k be 1 + r\/5 - 34\/12. Let t(b) = -b**3 - 5*b**2 + 8*b + 8. Let s be t(-6). Which is bigger: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**2 + 6380*r - 44905 = 0. Calculate r.\nAnswer: -1283, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10028850 + 5239987. Let l = -2730863 - r. What is l rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/3, -314, 0.7, -3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + -2 + (-4 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*m - 0*m - 4, 0 = -5*m + p - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m**(-3\/2))\/(m**(-4\/7))**20 assuming m is positive.\nAnswer: m**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -1\/142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11937275, -11937276, -11937277?\nAnswer: -11937278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Let p(n) = 2*n**2 - n - 2. Let m(b) = p(b) + t(b). Let r be m(-3). What is the greatest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q**2 - q. Let s(a) = a**3 + 3*a**2 + 5*a + 4. Let b be s(-1). Let w(m) = -3*m**3 + 6*m**2 - 6*m + 1. Determine b*w(x) - 6*h(x).\nAnswer: 3*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + f = 1, 13*k + 15 = 18*k + 2*f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and 16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40088 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + i + 17 = -8, 0 = f - 4*i - 389 + 394 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3)*n)\/n)\/n**14 assuming n is positive.\nAnswer: n**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -24*k**2 - 3. Let h(a) = a**2 + 1. Let f(n) = -9*h(n) - 3*x(n). Let s(m) = -m. Determine f(s(g)).\nAnswer: 63*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 5*b**3\/6 + 65*b**2\/2 + 41*b - 2. Let x be o(-12). Solve -2*a - h = -6, 4 - 1 = a - x*h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1264073, -1264067, -1264059, -1264049, -1264037, -1264023?\nAnswer: -1264007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02515 - 0.97485. Let s = -69 + 1033\/15. Let u = 1 - 1. What is the nearest to u in 3, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 690.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*5)\/(14 + -32) - 2\/(-9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - ((sqrt(88)*1 + sqrt(88))*-5 + sqrt(88)))\/((sqrt(40)\/sqrt(5) + sqrt(8))*-2).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 183458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -1555*w. Let p(f) = -2*f**2. Calculate m(p(z)).\nAnswer: 3110*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 2*s + 3. Suppose -172 = -3*g - 4. Suppose 57*w - g*w + 5 = 0. What is m(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579973 to the power of 1\/2, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110856.\nAnswer: 2, 3, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 - 274. Let j = -91 - b. Suppose 2*i - h = 24 + j, 0 = -3*h + 6. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -7\/6, -2\/5 in ascending order.\nAnswer: -7\/6, -2\/5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*q + 4839 = -572*q + 23420 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302\/837 + -8\/27. Let m = 79\/217 + g. Let q = -5\/2 + 2. Which is the closest to q? (a) 0 (b) 2\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x + 244 = 4*t + 6*x, -4*x = -t + 52. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 - 2.2. What is the third smallest value in -3, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y + 18. Let m(r) be the third derivative of 0*r + 0*r**3 + 0*r**4 + 1 - 31*r**2 + 1\/60*r**5. Calculate m(c(f)).\nAnswer: 4*f**2 + 72*f + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1796 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 283 and 140446391?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -18*z. Let p(n) = -n - 1. Let u(b) = -b**2 + 3*b + 3. Let l(y) = 3*p(y) + u(y). What is l(m(t))?\nAnswer: -324*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10898*g - 174614. Give f(16).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 g, and 1 z when three letters picked without replacement from lbifblbzlzlibgb.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 67*a + 348. What is t(-8)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-39))\/((-5)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59619082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 262620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1602223 or 1602331?\nAnswer: 1602223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/601 - 1807\/2404. Let z = 0 + -0.5. Which is the second biggest value? (a) z (b) 13 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -19. Suppose 0 = 3*c + m - 301 - 17, 4*m = 2*c - 212. Calculate the remainder when c is divided by 76\/2 - (2 - l).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/9, -1\/8, 336?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 5}. Give prob of sequence aiai.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 + 8 = 0. Suppose 2*w - 8 = p, -x = w - 3*w. Solve -2*u - 4 = 4*s, 0 = p*s - 7*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -188.69 rounded to the nearest integer?\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -243, -364, -485, -606?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**2 - 265*k**4 + 6 - 157*k + 156*k + 2*k**3 + 269*k**4 to the form f*k**4 + v*k**2 + d*k**3 + a + p*k and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 423397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-132 + 102 - (-30 - 1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {u: 3, f: 8}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (244*x**2 + 4*x - 58*x**2 - 2*x)*(-1 + 0 + 3 + (2 - 3 + 2)*(0 + 4 - 3) - 3 - 1 + 3 - 2 - 2 + 3 - 1 - 2 + 4 + 2 - 3 - 1 + (5 - 7 - 8)*(1 + 1 - 1)).\nAnswer: -1860*x**2 - 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*i + 170*i = 4935 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 3 + 3)*(240 - 41 + 86) to y + d*g and give d.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.099 and -3.706.\nAnswer: 0.366894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 8085?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2244 and 2856?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**4 - 252*p**3 - 256*p**2 = 0.\nAnswer: -1, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -52, 2, -4, 24, 1 in descending order.\nAnswer: 24, 5, 2, 1, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**5*i + a**3*i*l - 26*a**2*i + 5*a*i*l - 819*a*i - 3*i*l - i - 1 wrt a.\nAnswer: 100*a**3*i + 6*a*i*l - 52*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 126*b**2 + 371*b - 246.\nAnswer: (b - 123)*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280455 is divided by 3734.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24004 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48945 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m - 7. Let z be p(-12). Let w = z - -222. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30727 is divided by 316.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -0.1, -2, -1193, 1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12\/20 + -1*(-87)\/5 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*m**3 + 0*m**2 + 2*m**2 - 4*m**2 to g*m + u*m**2 + k + w*m**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + sqrt(200)).\nAnswer: -20*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 7*z - 204 = 0. Which is the third biggest value? (a) z (b) -3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60274583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 + -0.42. Let f be ((-5)\/2)\/(50\/(-40)). What is the closest to 1\/2 in -2, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Suppose z - 10 = t - p*z, 5*t = -z + 14. Let l be (t\/(-4))\/((-3)\/480). What is the highest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*((sqrt(34)\/sqrt(2) + 5 + sqrt(17))*1 + (sqrt(816)\/sqrt(3) + sqrt(17))*6))**2.\nAnswer: 5120*sqrt(17) + 278929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66517 is divided by 77?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*c - 37, 2*c - c = -o - 8. Let r be 26\/4 - o\/2. Determine q, given that -11*q - 3*q - 4*q**2 - q + 3*q - r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 14*w - 19. Let s be m(-5). Let l be 26\/(-1 + 10\/6). What is the greatest common divisor of s and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i**3 - 55*i**2 + 47*i - 7. What is t(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2894 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206296950.\nAnswer: 2, 5, 24125939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + -3 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 8:17 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:59 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:43 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 186 and 4?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 11 - -7) + (-5 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5589, 11181, 16773?\n\"Answer: 5592*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -26. Solve -z + 5 = 4*m, 4 = 5*z - q*z + m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**5)\/t**5*(t*t\/t**(2\/9))\/t**6*((t\/t**1)\/t)**11\/((t*t**3)\/t*t\/(t**(-5)*t*t)) assuming t is positive.\nAnswer: t**(-281\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*y**2 - 351*i**2*y - 13*i**2 - 800*i*y**2 - 2*i*y - 49*y**2 wrt y.\nAnswer: -4*i**2 - 1600*i - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-6) - -3)\/(-1). Let b = 14 + -27. Let y be 0 + -5 + (-63)\/b. What is the second biggest value in y, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2430 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13744069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110011100101110 (base 2) in base 8?\nAnswer: -1563456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/3 - 298*f**2 - 44402*f - 6615898\/3 = 0.\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/316 and -40\/7.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(-5*g**2 + 3*g**3 + 5*g**2)*(g**2 - 2*g**2 + 0*g**2) + (-2*g**3 + 2*g**3 + g**4)*(g + 4*g - g).\nAnswer: 13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10563144072228497*i - 2*i**2 + 10563144072228497*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 7 = -40*k + 41*k, 3*k = 4*h + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*c**3 - 2*c**2 + 0*c**2 + 5 + 2*c**4 - c in the form v*c**4 + o*c**3 + t + i*c**2 + z*c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + z = -12893, -58*z - 12891 = -3*d - 55*z. Calculate the remainder when d is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 72 - (3 - 3). Let x be (5\/15)\/((-1)\/(-54)). Let s be (0 - -19) + -19 + x. Calculate the greatest common divisor of s and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/9 - 32233892*m**3\/9 + 19241182554360*m**2 - 310109196410653467100*m\/9 + 310109023240042711750\/9.\nAnswer: 2*(m - 5372315)**3*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5776*c**5 - 11137040*c**4 + 54066668*c**3 + 8745072*c**2 + 347940*c = 0. What is c?\nAnswer: -1933, -3\/38, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 + 32 - (-1 + -14) - (39 - 21)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2 + 26485*u - 2451540 = 0 for u.\nAnswer: -5388, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39397.\nAnswer: 39397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 28255, 56512, 84769, 113026?\n\"Answer: 28257*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*g**3 - 3*g**3 - g**3 + 0 + 0 + g**3 + (g - 1 + 1)*(g**2 + 3*g - 3*g) + 0*g**3 + g**3 - 2*g**3 + g**3 - 2*g + 2*g - 24*g**3 - 9*g**2 + 9*g**2.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 4*v**2 - 5*v**2)*(-23*v**3 - 93*v + 93*v) + 0*v**5 + 3*v**5 - v**5 + (-1 + 2*v**2 + 1)*(-4*v**3 + 3*v**3 + 2*v**3).\nAnswer: 50*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (45861\/(-3))\/(10 + -20 + 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2 = -11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkiwkwkmmdvk. What is prob of sequence mv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 11892091\nAnswer: -35676273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 9*u**2 + 7*u - 6. Let z be -8*(3 + -6)\/6. What is the least common multiple of n(-8) and z\/(-14) - 845\/(-91)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {c: 1, y: 2, n: 3, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1538030 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21518490\/31 or -694146?\nAnswer: -21518490\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 273546398?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (36\/10)\/((-6)\/(-15)). Let z = 23 - u. Suppose -3*o = 0, 3*y + o - 116 = 136. What is the highest common factor of z and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*u + 4 + 468*u**2 + 6*u**3 - 4*u**3 - 471*u**2 + 2*u**4 in the form b*u**4 + s + f*u**3 + d*u + w*u**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 5:06 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let a be (-20)\/2*(-78)\/195. Suppose 0*o - 3*l + 33 = 3*o, i = -o + a*l + 6. What is the greatest common divisor of o and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 12, -1, -3, -14599, -2.\nAnswer: -14599, -3, -2, -1, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 7*f - 5*f - f**3 - 1 - f**2 - 3*f. Let v be c(-2). Let x(t) = -t**2 + 2*t + 2. Let w(m) = 2*m**3 - m + 3 - 4 - m**3. Give v*x(l) + 2*w(l).\nAnswer: 2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 18. Give r(11).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 445*p - 135 - 206*p + 7*p**3 + 417*p**5 - 230*p - p**3 wrt p?\nAnswer: 8340*p**3 + 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/7)\/k)**(-2\/85)\/(k\/(k\/((k\/k**(2\/7))\/k)*k)*k**6) assuming k is positive.\nAnswer: k**(-557\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 22*l**2 - 10*l + 18. Let o be t(2). Let n = 25 - 5. Suppose -n = 2*j - o. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*r**2 + 9*j**2 - 112684*j*r**2 + j*r + 5*j - 2*r**2 - 4*r - 5 wrt r?\nAnswer: 4*j**2 - 225368*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2083.82831 to the nearest 10.\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4969661478938.29 take away -0.5?\nAnswer: -4969661478937.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/2453?\nAnswer: 1\/2453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/sqrt(300) + (2*sqrt(1300))**2.\nAnswer: sqrt(13)\/5 + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7348?\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/(-3)*102\/(-68)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -t - 8*t. Determine a so that -9*a + 4*a**2 - 8*a - 4*a**4 - 2*a**t + 19*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927.0305 litres in millilitres?\nAnswer: 927030.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -873.2 + 872.9. What is the nearest to -1\/2 in -3, 2\/43, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-4)\/(-18)*3). Suppose o - 18 = 5*v, -n*v - 4*o = -0 - 3. Calculate the common denominator of 85\/22 and v - 109\/6*-1.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (6 - 5) - (-82 + 51).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 24. Suppose 5*r + 1465 = 5*x, 6*x - 3*r - 2*r - 1759 = 0. Calculate the remainder when x is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 252 + -24?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 801\/4984*42\/63\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 - 8*x + (1 + 2 - 1)*(-2 + 2 - 1)*(-2 - x + 2).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4512*d + 8966. Determine f(2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513 + 14*m + 513.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 25 = 5. Let y = -1 + o. Suppose 3*b - 2*v = 50, -y*v = -3*b - 7*v + 75. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/90 and 57\/7430.\nAnswer: 66870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -35*d. Let o(p) = -193202*p + 14. Determine o(k(b)).\nAnswer: 6762070*b + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let v(b) = b + 7. Let j be v(-4). Let m(x) = 2*x. Calculate j*m(y) + 8*r(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(768))**2.\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/5 + 1\/(-5). Let p be (-1)\/((-3)\/(-3))*w. Solve -3*s - s - 16 = p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-8 + -6 + 7 + -7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*i = -817*i + j - 0*j - 1250, 2*j = -i + 22 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -3832, -13460, -32338, -63550, -110180?\nAnswer: -175312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21294, -21304, -21314, -21324, -21334, -21344?\n\"Answer: -10*h - 21284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22723\/6 - -3813. Let p = r - 157\/6. What is the smallest value in p, -5, 0, -1.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 230326 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -13*v + 18. Let y(p) = -26*p + 37. Let r(w) = 13*h(w) - 6*y(w). Differentiate r(d) wrt d.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377894.\nAnswer: 2, 11, 89, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*w + 0*w = 0, w = -4*q + 18. Solve -q*k = 37*k + 86 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38830172?\nAnswer: 2, 167, 58129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (4 - (-2 + 13 - (-1 - -3)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20 + 5)\/(-5)*1567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 4 + 46. Let u(q) = 15*q**3 - 10*q**2 - 9*q - 15. Let f(p) = -7*p**3 + 5*p**2 + 4*p + 7. Let b(t) = l*u(t) - 13*f(t). Calculate b(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/180 - 7*d**4\/18 + 1502*d**2. Factor t(q).\nAnswer: -q*(q + 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 752, 755, 758?\n\"Answer: 3*z + 749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 416\/11 - 38. Let d = -127 - -638\/5. What is the nearest to 0.1 in -0.1, h, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/(13364\/2313)*((-20)\/(-6) + 2).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2150844600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvdnvesfe. Give prob of sequence vn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(5*k**5 - k**5 + 0*k**5) + 27*k**5 - 99 + 99.\nAnswer: 19*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 128*k + 3513. Calculate f(-27).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l - 776505 = -11812255. Suppose 16*d + 6*d = l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 199666\nAnswer: -1\/199666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 25*a**2 - 22*a - 25. Is o(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66781360 to the nearest integer?\nAnswer: 8172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12500821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/2, -1, 2, -2\/165, 0.4?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + g**2 + 2. Let s(t) = -379*t**3 - 6*t**2 - 175. Let y(h) = 6*k(h) + s(h). Find the first derivative of y(n) wrt n.\nAnswer: -1155*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riq when three letters picked without replacement from {w: 1, d: 1, i: 1, r: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - x - 3 = 0, 10*d + 5*x + 12 = 12*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.03 + -36.83. Which is the nearest to 0.8? (a) u (b) 5 (c) -0.4 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -992 + -315.78.\nAnswer: -1307.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1032 - -1032.5. Sort 0.2, -1\/5, q, 10.\nAnswer: -1\/5, 0.2, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = -o - 2, 5*f = 5*o + 30. Let m be (-13 - -4)\/(f\/2). Is (388\/m)\/((-4)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:45 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4735, 4730, 4725, 4720?\n\"Answer: -5*c + 4740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + ((2 + (sqrt(125) - (-1 + 2*sqrt(125))) + 2)*3)**2.\nAnswer: -450*sqrt(5) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3168746492456 minus -0.4?\nAnswer: 22.7168746492456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**(-1\/22)*i)\/i*i*i**(-7\/3))**11)**(-21) assuming i is positive.\nAnswer: i**(-287\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-28)*h*h*h**(-7)*h*h**(-5\/9)*h**(1\/10)*h)**24 assuming h is positive.\nAnswer: h**(-10964\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 369 - 151. Let s = -32944384.99859 + 32944603. Let o = y - s. Round o to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327 = -140*i - 233 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 1:36 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (11 - (2 + 0))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87316, 174236, 261156, 348076?\nAnswer: 434996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**17)**(6\/7) assuming w is positive.\nAnswer: w**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292607352.\nAnswer: 2, 3, 4063991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -13. Suppose -a*t = -0*t - 64. Suppose 4*v = -4*d + t, 3*v - 2*d = -2*v - 1. Is v < 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1929.76 times -739\nAnswer: 1426092.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 103*o - 23 - 5 - 329*o to the form s + u*o and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 260 = -5*z + 16762, -5*z + 5*y = -17025. Suppose z + 440 = 4*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81142472?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 250 - -188. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 242696?\nAnswer: 2669656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhy when three letters picked without replacement from {h: 2, y: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 198699.33us in minutes?\nAnswer: 0.0033116555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 0 (c) -22 (d) 3\/4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**3\/3 + r - 3. Differentiate i(x) with respect to x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + -0.05. Let t = -955.9 + 956.3. What is the smallest value in 1, q, t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -111 - -115?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -11*c**6 - 3*c**5 + 18*c**2 - 3. Let d(r) = r**5 - r**2 + 1. Let k(t) = -3*d(t) - m(t). Find the third derivative of k(v) wrt v.\nAnswer: 1320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = -96 - 261 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160868*m**3 - 321738*m**3 + 160876*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5 + 7176*n**4 + 231814*n**3 - 485148*n**2 + 246160*n = 0.\nAnswer: -34, 0, 1, 3620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-8 - (-35)\/10). Which is the third biggest value? (a) -44 (b) u (c) -5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 - (-23 - -15) - 33)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 1\/12*f**4 - 2*f**2 + 3*f - 1 + 1\/2*f**3. Let z(p) be the first derivative of c(p). Calculate z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79.3 - 85. Let k = 5.1 + v. Which is the second smallest value? (a) k (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 + 8400*v - 88200000.\nAnswer: -(v - 21000)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 14*n - 2. Let w(d) = d**2 - 7*d - 1. Let r(k) = k**3 + k**2 + 2. Let u be r(-2). Let t(o) = u*a(o) + 5*w(o). Calculate t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30894 is divided by 42.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 583347 and 3.\nAnswer: 1750041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nngnggnngggg. What is prob of sequence gng?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 476.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6*13\/((-897)\/(-161))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -305*a + 308*a - 90. What is the remainder when a is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 3 - 2)*(3*r - 2*r - 7*r) - 258 + 258 + 47*r)*(32*r + 28*r + 57 - 58*r) in the form b + w*r**2 + u*r and give w.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.94\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120525 or 120526?\nAnswer: 120526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(4\/9)))**42)**(-27) assuming c is positive.\nAnswer: c**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 - -135. What is the remainder when (-1242)\/y + 6\/16 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/5)*n\/n**7*n*(n*n**(-7\/4)*n)\/n*n*n*n*n**(-4) assuming n is positive.\nAnswer: n**(-127\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 6*v - 332 = 2*v, -5*l = -3*v - 439. Suppose -4*g + 621 - 359 = 3*u, -174 = -2*u - 2*g. What is the greatest common divisor of u and l?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -3 + 1\/1800*g**6 - 1\/600*g**5 - 1\/3*g**3 - 1\/60*g**4 + 0*g + 0*g**2. Let l(x) be the third derivative of i(x). Factor l(h).\nAnswer: (h - 2)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 34.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*x + 0*x - 2 = 0, 3*z - x - 14 = 0. Calculate the least common multiple of z and 1690\/70 + (-2)\/14.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-137004\nAnswer: -68502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 680 and 4216.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1062*p - 16989. Let y be l(16). Sort y, 8, -2, 1, -5 in increasing order.\nAnswer: -5, -2, 1, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*2*-4 + sqrt(475) + 2 + -5 + sqrt(475))**2 + (0 + 1 + sqrt(475) + ((sqrt(475) + -1 + 1)**2 - sqrt(475)))*3.\nAnswer: 180*sqrt(19) + 18537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 10*((-15)\/6 - -2). Suppose j = k + 2*r + 2*r, k - 4*r = 5. Sort -1, k, 2.\nAnswer: -1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/1089*22*9\/1. What is the nearest to p in -2, 7, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703 - 710 - 702 - 939*n**2 + 2115.\nAnswer: -939*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -16, -3\/11.\nAnswer: -16, -1, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -28106, 13, -3 in increasing order.\nAnswer: -28106, -4, -3, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + o**2 - 3*o**2 + o**2 - 10*o + 1 + 7*o + 6*o + (o**2 - o**2 + 2*o**2)*(-2 + 3 + 4).\nAnswer: 10*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2152 + -1499. Let i = 3651.4002 + x. Let b = -0.4 + i. What is b rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.055 - 0.345. Let u = 27 + -161\/6. What is the nearest to -0.2 in u, 0.05, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -157 and 492.\nAnswer: -77244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9191593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18 - 0)*(3\/(-1))\/9. Let q(h) = 4*h**2 + 2*h + 11. Let t be q(j). Suppose 5*i - 493 = t. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from bxuvjjvjbjjuuj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 507, 994, 1481?\n\"Answer: 487*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3 + 3 + 3*x - 1 - 13*x**2 + 14*x**2. Let y be g(-3). Suppose -15 = -4*w + y. Solve 3*l - w + 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in nine tenths of a second?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144622859.\nAnswer: 17, 223, 38149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12 - (0 - 12))*(-1)\/3. Solve k = -7*h + 11*h - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3 - 2. Let q be (48\/(-64))\/((-2)\/8). Let v(o) = -q*o + 0*o - 3*o. Give v(u(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 n, and 1 c when four letters picked without replacement from {c: 1, o: 5, n: 3}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-6)*(-40)\/15. What is the units digit of 81 - ((-6)\/14)\/(o\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 444299*z**3 + z**2 + 5*z + 3. Let i be d(-1). Round i to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-92*h**3 - 222*h**3 + 49*h**3).\nAnswer: -265*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-3) - (-12 + 0). Suppose -2*s + 7*s = a. Solve -4*o + 20 = i, -7 - 8 = -s*o - 5*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 + 62. Suppose -6*f + 5*f + 5 = 0. Suppose 19 = f*y - 51. What is the remainder when v is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44 + -20 + 46 + -26\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 21296472?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1315100 is divided by 1804?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -101610.801564?\nAnswer: 101614.801564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30474, -26807, -23140, -19473, -15806, -12139?\n\"Answer: 3667*k - 34141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40 and 8172392.\nAnswer: -326895680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7712, 0, 80 in descending order.\nAnswer: 80, 0, -7712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - 173*j + 549. Let g be c(40). Solve g*z - 53 - 34 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 223997 and 1032334?\nAnswer: 23743682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 752 and 1034?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28 + -1)*(-5 + 4). Calculate the common denominator of (-2 + 4 + 123)\/(-6) and -2 + -2 + i\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 + (-60 - -38 - -7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + 12. Let u = i + -65. Calculate the lowest common multiple of u and 27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(19)*-2)**2 + sqrt(76)\/(sqrt(12)\/sqrt(3)) + 3*-5*sqrt(19)*1.\nAnswer: -14*sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 486*p + 159572. Give a(-329).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 + g + 7. Let o(m) = 2*m**2 + m + 5. Let w = 3046 + -3053. Give w*o(v) + 5*h(v).\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/12 + 5*f**3\/6 - 3*f**2\/2 + 3*f. List the prime factors of d(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/8)\/((-3)\/(-24))*-23.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 114*k + 1139. Let n be j(-103). Solve 3*f = n*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -24. What is the first derivative of -r*b - 2*b + 15 + b wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4*51\/(-3). Let x = -67\/4 + 47\/2. Let h = x + w. What is the third biggest value in -0.4, 2\/9, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 19*f + 5. Let t(j) = j**2 - 24*j + 6. Let g(n) = 5*i(n) - 4*t(n). Let r(l) = -6*l**3 + 5*l**2 + 5*l + 5. Calculate -5*g(x) + r(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.1 - 17.9. Let h = 140 - 121. Let f = z + h. Which is the nearest to f? (a) 2\/7 (b) -0.4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y. Suppose 5*j = 3*l - 5*l + 42, -4*j + 42 = 2*l. Suppose -24 = -5*s + l. Let t(m) = s*m - 43*m + 20*m. What is t(c(o))?\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7796, -13628, -19534, -25550, -31712, -38056, -44618?\n\"Answer: -6*j**3 - j**2 - 5787*j - 2002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**5 + m**5 + m**5 - 11*m**4 + 11*m**4 - 9*m**5 + (-m + 1 - 1)*(-3*m**4 - m**4 + 2*m**4))*(6 - 4 + 0).\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 8:30 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 44*f**5 - 6880*f**4 - 18372*f**3 - 11448*f**2 = 0.\nAnswer: -18\/11, -1, 0, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1313*r - 240 = -1297*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (18450\/(-246) + 84)\/(30\/28 + -1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -28*r**2 + 14*r**2 + 16*r**2. Let u(s) = -s. Give v(u(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -156.1, 0.3, -8566, 0?\nAnswer: -156.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -33. Let l = 4 + -2. Suppose -l = -s - s. Calculate the greatest common factor of r and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346 - k**3 + 0*k**3 + 346.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*-1 + (-13 - 5). Let f be (-30)\/i*70\/2. Suppose -5*j = -300 + f. Does 28 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 3*f**2 - f + 9. Let y be d(-4). Suppose 32 = -0*w + 4*w. Suppose 0 = 5*v + w + 12. Which is the nearest to -1? (a) -0.02 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*f**2 + 1897*f - 3 + 1 - 1897*f.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*j = 233*j - 140. Let q(y) = 3*y - 9. Give q(j).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513492451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 24*p - 23. Let i be r(23). Suppose -13*a + 15566546 + 64773454 = i. What is a rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrrrrrrrrrrlrrl. Give prob of sequence rllr.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**4 + 5*k**4 - 2*k**4 + 0*k**2 - k**4 + 0*k**2 + (0 + 0 - 2*k)*(3*k**3 + k**2 - k**2) - k**4 + 9*k**3 - 9*k**3 + 2.\nAnswer: -10*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 52 + 138*g - 260*g + 73*g**2 + 142*g. What is the derivative of z(o) wrt o?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -5bd?\nAnswer: 5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -8*g + 90. What is the least common multiple of 24 and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-12)*(-108)\/(-72).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 - -206. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -1 (b) -2\/5 (c) -10 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3679372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - 2365.\nAnswer: -2365.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-25)\/10)\/(2\/(-660)).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209 + 435 - 220)*(19*v - 6*v + 6*v) + 3 - 2*v - 3.\nAnswer: 112*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000114697 rounded to 6 dps?\nAnswer: 0.000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 16)*(l - 2*l + 3*l) + l + 2*l - l + 7*l + 2*l - 3*l)*(0 + 3 + 7).\nAnswer: -200*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 98, 103, 108, 113?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982 a factor of 779421026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = f + z, f + 5059*z - 5064*z - 3 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-80)\/150)\/(-1))\/((-648)\/(-90))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19458751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 1. Let d be x(-7). Let g = d + -4. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2) + -1 + -10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(-2\/21)*r))\/r*r)\/r)\/r*r*r*r**11\/r)**39 assuming r is positive.\nAnswer: r**(2756\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, w: 2, f: 2, v: 1, z: 1, e: 1}. Give prob of sequence xew.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32131, -63965, -95799, -127633, -159467, -191301?\nAnswer: -223135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -304 + 356. Let y = z - -12. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -500075601*h - 528010131?\nAnswer: -500075601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/16 - 3*w**2\/8 + 3*w + 4. Let r(s) be the first derivative of x(s). Factor r(c).\nAnswer: 3*(c - 1)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/8)\/((-279)\/(-14136)). Let x(o) = -o**3 - 36*o**2 + 78*o + 79. Calculate the least common multiple of 171 and x(v).\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 597012.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12211 - -121001?\nAnswer: 101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 0. Sort -5, g, 4, 3 in decreasing order.\nAnswer: 4, 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/(-945))\/((-9)\/(-15))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*r. Let o = -333 + 332.7. Sort o, 5, 6, r in descending order.\nAnswer: 6, 5, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 7*w - 8. Let v(s) = -s**2 - 7*s + 7. Let a(u) = -3*l(u) - 4*v(u). Let k be a(-7). Let t be (-16)\/k*12\/16. Put t, -2, -5 in ascending order.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-338)\/4)\/13).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, r: 7, m: 8, e: 2}. Give prob of picking 4 m.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b - 11. Suppose 0 = -3*w - 12 + 78. Let v(y) = -1 - 1 + 0*y + y. Let z(k) = w*v(k) - 4*a(k). Let t(c) = -c. Determine z(t(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 2*u**3 - 32024 + 32022 - 26*u**2 to the form r*u**3 + y + g*u + v*u**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10976955 + 0.4\nAnswer: 10976955.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -89372? (a) 3 (b) 1\/8 (c) 3\/4 (d) 0.3 (e) 2\/5 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 76. Suppose -g = b - 12. Find the third derivative of 2*z**3 + 5*z**3 + 22*z**2 - 7*z**b + 12*z**4 wrt z.\nAnswer: 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -355 - -353. What is the second smallest value in w, 16, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3004*o**2 + 26*o + 28. Let y be x(26). What is y rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697124090 rounded to the nearest 100000?\nAnswer: 697100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 4*j**2 - j**2)*(-3*j**2 + 5*j**2 - 4*j**2) - 34*j**4 + 0*j**4 + 2*j**4.\nAnswer: -30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67867\/60 + -1131. Let n(x) be the third derivative of -u*x**5 + 0*x**3 + 1\/8*x**4 - 5*x**2 + 0*x + 0. What is the second derivative of n(c) wrt c?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 11 = -51 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 m when three letters picked without replacement from hmmmmmhdhhhd?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -381720 + 1?\nAnswer: -381719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*z - 11*z + 68. List the prime factors of 5 - (-36 + 5 + z).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - g**3 - g**3)*(5*g + 2*g - 4*g) + (1 - 1 - 1)*(7*g**4 - 4*g**4 - g**4).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21\/(-3) + 15\/5 + 186.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-8)*12*1\/(-28).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vesdvwswseffffs. What is prob of sequence dsw?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.24 - -13. Let t = -0.23988 - n. Round t to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1221730122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1301\/8 + 818\/5. Let p(j) be the third derivative of 5\/6*j**4 + 0*j + 1\/3*j**3 + x*j**5 + 27\/80*j**6 - 2*j**2 + 0. Find v, given that p(v) = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1612345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -224994675*c**2 + 365718941 wrt c?\nAnswer: -449989350*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4815 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 4*k**2 + 6*k - 3. Let c be h(-5). Let j = -3 - c. What is the smallest common multiple of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -275.17 - -275. What is the closest to -1 in 0, h, 0.4, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00467935 to 4 decimal places.\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 4, j: 1, h: 4}. Give prob of picking 1 j, 1 v, and 1 h.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12782\/42)\/(2\/6). Suppose -o = -6*l + 3845. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 1 + (0 + 3 + 0)*(-2 + 3 + 1))*(-59*s**3 - 10*s**3 + 8*s**3) + (2*s - 3*s + 3*s)*(3*s - 3*s + 2*s**2).\nAnswer: -667*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) -1\/21 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44238 + -44212. Suppose 4*j - 572 = 2*j. What is the highest common divisor of y and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 5\/26, -4\/7 in descending order.\nAnswer: 5\/26, -0.07, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187605470 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jevjjjojehoo. Give prob of sequence ho.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*o + 52, 10 = -s - 4*s. Suppose -4*n + 3*q - 16 = 1, 5*q = -2*n - o. Put -4, -8, n in ascending order.\nAnswer: -8, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27241, -54434, -81567, -108634, -135629, -162546, -189379?\n\"Answer: g**3 + 24*g**2 - 27272*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3 - 7\/3*y**4 + 0*y + 0*y**2 + 0 = 0. What is y?\nAnswer: -6\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5305 - -4423. Is -882 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 - 3*y**2)*(15*y + 2*y - 7*y).\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 370967263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/4 - 7*y**4\/2 + 33*y**3 - 151*y**2\/2 + 269*y\/4 - 21 = 0.\nAnswer: -21, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58\/(-8) - 6\/(-24). Let b(u) = u**3 + 6*u**2 - 6*u + 9. Let p be b(s). What is the third derivative of -7*h**5 + 4*h**5 + p*h**2 + h**2 wrt h?\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**5 - 108*m**4 + 380*m**3 + 5228*m**2 - 384*m - 5120 = 0. What is m?\nAnswer: -5, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Let z be (0 - 1)*(-28)\/245*5. Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 8 + -4 - 0. Is 6\/7 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84511533, -169023065, -253534597?\n\"Answer: -84511532*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*f - 12, 2*r + 4 = 4*f - 2*f. Suppose -4*b - 16 = 5*c, -f*c = -3*b - b + 16. Let t(o) be the second derivative of 7*o**3\/6 + 2*o. Determine t(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69602*y + 126*y**2 - 69602*y.\nAnswer: 126*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1223212 (base 4) to base 6\nAnswer: -51514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2157380?\nAnswer: 2, 5, 269, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 2*a + 5*a)*(a - 2*a + 4*a + (2 + 0 - 3)*(-a + 4*a - 4*a))*(3*a**2 - 4*a**2 + 2*a**2).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -758 + 760. Let l = 68\/29 + -323\/348. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from rxxrxxxrrhrrrrx.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/2 and -1 - -2 - (-378)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.1352 - -0.0052. Let l = p + 0.13. Which is the closest to 0? (a) l (b) -1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + m**2 + 4*m - 3. Suppose 15*t - 20*t = 0. Suppose t = 5*p + 412 - 422. Give j(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than 94\/39839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180*l - 180*l - 117*l**2 to the form g*l + z*l**2 + w and give z.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 17.26. Let h = 0.06 - j. Which is smaller: h or 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + 2*c**2 - 12*c**4 + c**2 + 2*c**3 + 4*c**4 + 8 + 6*c**4 to the form y*c**3 + g*c**4 + b*c + f*c**2 + x and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11788?\nAnswer: 2, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 16) to base 8\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*i = 28*i + 54. Let o = 0 - 0. Let q = 1.1 + -5.1. Which is the nearest to i? (a) o (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 = 18*f + 74 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 3, g: 4}. Give prob of sequence zggd.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4333*i + 4107 with respect to i.\nAnswer: -4333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 452*p - 13. Let i(m) = 115*m - 3. Calculate -2*h(x) + 9*i(x).\nAnswer: 131*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 2*y**2 - y**2)*((2 - 3 + 3)*(5 + 1 - 1) + (1 - 1 - 2)*(0 - 3 + 0) - 3 - 8 - 9 - 1 - 1 + 1).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-109)\/(-12) + 116\/406*(-28)\/96?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -56, -99, -156, -227, -312?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 12:00 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b - 38 - 424 - 140 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204732752 and 1824?\nAnswer: 1228396512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 575573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Let g(p) = p + c*p + 4*p - 3*p. Let r(a) = 2*a**2. Determine r(g(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4038 - -192. Factor 6320 - 84*b**2 + 2*b**3 - 1902 - 111*b**2 + 0*b**2 + f*b + 9*b**2.\nAnswer: 2*(b - 47)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28818972503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/8 + 651*w\/8 - 325\/4 = 0.\nAnswer: 1, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 932820 or 932846?\nAnswer: 932820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-11))**0\/(((l*l**(-7\/2))\/l)\/(l\/(l**27\/l))))**10 assuming l is positive.\nAnswer: l**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*q**3 - 27*q**3 - 8 + 0.\nAnswer: 83*q**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49.21 + -53.748. Let g = 2.2 + -6.7. Let r = g - h. What is r rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*i**5 + 36*i**4 - 8*i**3 - 36*i**2 - 8*i = 0. What is i?\nAnswer: -2, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:43 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/1)\/6)\/(15\/(-10))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 3, f: 3, q: 6}. What is prob of sequence jf?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 33*q**2 - 17)*(-7 + 4 + 13) + 2*q - q**2 - 2*q.\nAnswer: 329*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = s, -3*c - 2*c = 3*s + 6. Let m be 1*c*4\/16. Let g be (3 - m) + 499996 + 1. Round g to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1926, -3843, -5754, -7659, -9558, -11451?\nAnswer: -13338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*-1 - (-3 - -1). Let g = k - -2. What is the units digit of 0 - g - 0 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (54\/(-90))\/((-2)\/50). Let f be n\/(-18)*(2 + -4)*3. Suppose 4*x - f*k = 36, -4*k + 9 = -0*x + x. Solve 3*c - 24 + x = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:03 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 3, 1\/6, 0, 2\/9, 48.8?\nAnswer: 48.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (12 + 9\/3*-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 512 - 907 = -29*i - 888 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1270*j - 1917*j + 76*j - 572*j - 1823*j.\nAnswer: -5506*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10242\/5 - -2048. Let k(m) = -m**2 - 11*m - 14. Let v be k(-10). Which is the fourth biggest value? (a) t (b) 4 (c) -1\/4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/804 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 226 and 222 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -177204905 or -177204903?\nAnswer: -177204903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80150560?\nAnswer: 2, 5, 7, 71563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 3, 7 in decreasing order.\nAnswer: 7, 4, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.939094 nanometers to kilometers.\nAnswer: 0.000000000003939094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*p - 12*p = -98078. What is the remainder when p is divided by 226?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*j - 4*j = 1, -5*f + j + 13 = 0. Suppose f*t = t. Solve t = 3*w + 6 - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -1692 + 7857. Let f be (r\/108)\/(30\/32). Let j = f + 124\/9. Is j at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/3)\/f**(-6)*f**(-1)*f**(-6) assuming f is positive.\nAnswer: f**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/16704 and 69\/58?\nAnswer: 16704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d4 - -497c?\nAnswer: 4a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 4*f + 60. Let d be j(10). Solve d = -7*w + 6*w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5 - 1312*c**4 - 192560*c**3 - 5974464*c**2.\nAnswer: 4*c**2*(c - 444)*(c + 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/7 - 44*m**3 - 5678*m**2\/7 + 14124*m - 92880\/7 = 0.\nAnswer: -129, -36, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -18. Suppose 0 = -5*u + q + 3*q + 12, -26 = -v*u - 3*q. Calculate the least common multiple of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2122141*b - 1059645*b - 1062498*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -22164815 at most as big as -22164818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - o - 1. Let k(h) = -4*h**2 + 2*h + 5. Calculate k(m) + 3*v(m).\nAnswer: -m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgwa when four letters picked without replacement from {j: 2, w: 1, m: 2, g: 1, a: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n = 884. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1410*62\/(-1860) + 64.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1457 - 1457. Solve 2 = 2*m - 2*f, 4*f + 1 = 5*m - b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**3 + 39*s**2 - 61*s + 14. Calculate l(4).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let c(y) = -30*y - 41. Let a(m) = 61*m + 96. Let t(r) = -6*a(r) - 14*c(r). What is t(f(d))?\nAnswer: -54*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + 8*h)*(412 - 199 + 404).\nAnswer: 4936*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - -30. Let d = -51 - s. Solve 0 = -3*p + 16 - d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -837440*y + 104106*y - 2 + 0 - 2. Let u(i) = -4*i + 2. Let n be u(2). Let f be g(n). Round f to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966988591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:37 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23024, 22992, 22946, 22880, 22788, 22664, 22502, 22296?\nAnswer: 22040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 times -8?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1.4523, -2\/37, 1\/9, -0.7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of s**5\/20 - 7*s**4\/12 - 3*s**2\/2 - 14*s. Determine n(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27173 or -27174?\nAnswer: -27174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjqccfqjqqcfjcqqqqfc. What is prob of sequence cjjf?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 225214.9 - 225215. Let k = -319\/9 + 37. Let n = k + -4\/3. Which is the nearest to 2\/3? (a) n (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 27746470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 903900 and 1725.\nAnswer: 903900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*s**2*u*v - 15*l*s**2*u - l*s**2 + 2*l*s*u*v - l*s*u + 2*l*s*v + 63*l + s**2*v - u - v wrt s?\nAnswer: -4*l*u*v - 30*l*u - 2*l + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1169 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*y, -2*l + 29*y - 19 = 32*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21796345.\nAnswer: 5, 103, 42323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -5 - 5) + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/207 and 87\/(-36) - ((-26)\/4 - -7).\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, a: 4, z: 2, e: 2}. What is prob of picking 2 e, 1 z, and 1 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*q + 3*n, 0 = -0*q + q - 4*n + 5. Let d = -84 - -82. Let f be 2\/(-5)*5\/d. Solve -19 = -c + 5*s, -5*s - f - q = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b**3 + 15*b**3 - 34*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m\/(m*m**7\/m))))*m)\/(m\/(m*m*m**4)*m)*m*(m\/(m**(-2\/7)\/m))\/m*m*m**(-6\/11)*m assuming m is positive.\nAnswer: m**(1212\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -233*v**3 - v**2 - 2*v - 1. Let m be h(-1). Suppose -2*x = -5 - m. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 7:58 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136167?\nAnswer: 3, 45389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*w - 361*w + 356 + 428 = 0 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-9)*(-891)\/18)\/1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323101312 (base 6) to base 8.\nAnswer: -74273154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 49*p + 1238 = -501 + 339 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 1, 44, 66, 13\/4, 6\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -190183323.3 rounded to the nearest 1000?\nAnswer: -190183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-29)\/(232\/(-84)))\/3)\/(-1)*(-124)\/14.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4*t = -11, -214*n + 213*n - 3*t = 6 - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in -31\/2, -19.74, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 2\/4)*10. Let k = 42 - t. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + -3 + 6\/(-898). Let h = g - 55197\/4490. Find the common denominator of 12\/8*70\/66 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.815 - -0.205. Let x = -0.02 + 0. Let g = v + x. What is the closest to 0.1 in -2, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20\/33 (b) 0.1 (c) 50402 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9*j = 0. Let d be 3 - -3*(-4 - (1 - j)). Let q(r) = -r**2 - 16*r + 1. What is the tens digit of q(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.7 take away 0.02?\nAnswer: -17.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-3 - -4 - 8) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83883 - 14?\nAnswer: -84007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 392?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 173, 561, 1159, 1967, 2985?\n\"Answer: 105*d**2 + 73*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -11, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342737977.\nAnswer: 4021, 85237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -38*q + 7. Let y(n) = 79*n - 15. Determine -5*x(v) - 2*y(v).\nAnswer: 32*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91500 and 732?\nAnswer: 91500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 6. Let c(d) = d**2 - 6*d + 4. Let v be c(6). Suppose 4*y = v*i + i + 28, 0 = -2*y - 5*i + 14. What is the remainder when y is divided by p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*i = -7 + 12 + 31, -4*r + 612 = 25*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b - 767. Let c be f(77). Let h(n) = -2*n**2 - 3*n - 3. Determine h(c).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(972))**2 - -3*sqrt(48).\nAnswer: 13*sqrt(3) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 12:56 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3131905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 7:30 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4. Let r be o(-2). Suppose r*f = -5*f + 1411. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 8. Let q be d(-9). Which is smaller: q or -2\/471?\nAnswer: -2\/471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from didiejidlienidd. Give prob of sequence eij.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b - 15. Let v be u(10). Let m = -3 + v. Suppose 0 = -2*c - 4*g - 10, -4 = -m*c + 4*g + 26. Solve -c*q - 21 = -6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3316 is divided by 218.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5231*c - 6139*c - 11725*c + 1261*c.\nAnswer: -21834*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 426786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417, 836, 1245, 1638, 2009?\nAnswer: 2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 16*x + 18. Let n be q(14). Let t be n\/(15\/25 - 1). Solve -9*p = -4*p + t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 <= -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-1 + 17)) + 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 10584?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 13*b - 12. Let c be q(0). Let x(z) = -z**3 - 13*z**2 - 14*z - 11. Let n be x(c). Solve 0 = -n*f + 15*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22781\/6 - 170893\/45. What is the common denominator of -139\/60 and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 707.4118t to milligrams.\nAnswer: 707411800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 90, 92?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1409 and 3.38 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 1. Suppose -4*h - q - 34 = 0. Let y = 17 - h. What is the highest common divisor of 216 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb69 (base 15) in base 12?\nAnswer: -1ab83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.98 + 4. Let o = u + -0.32. Let x = 0.1 + o. Which is the closest to 1\/2? (a) 4 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -23, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 1:19 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 33 - 160*y - 6 + 39.\nAnswer: -160*y - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27669)\/(-7) + 4 + 6\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**5\/30 + o**4\/8 + o**3\/6 + 42*o**2 + 78. Let f(g) be the second derivative of m(g). Determine f(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 3*y**4\/8 + 6*y**3 + 7*y**2. Let q(w) = 2*w + 7. Let v(f) = 4*j(f) - 21*q(f). List the prime factors of v(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 77. Suppose 0 = -4*x - 3*l - 9, -5*x = -l - 0*l + z. Let p be (-2)\/3 + (-202)\/x. Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88134 is divided by 958?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18259 (base 10) in base 16?\nAnswer: 4753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/20*0*(-3)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2*-1)*(-770)\/(-55)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 2:39 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6 + 3 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3484 - -3027?\nAnswer: 6511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/400 and 87\/123640.\nAnswer: 1236400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11 + 11 + 31*o)*(-2 - 4 + 5) - 4 - 2*o + 2 + 0*o)*(-7*o**2 + o**2 + 0*o**2).\nAnswer: 198*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -5\/3, 12\/11, -2, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4831400*a - 6893188.\nAnswer: -4831400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 + 13. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - q**2 + 2*q**2)*(1 + 1 + 0) - 3*q**2 + 0 + 0.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 5, 17, 0.678807, 0 in descending order.\nAnswer: 17, 5, 0.678807, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5 + -6*(sqrt(162)*-2*-4 + 5))**2 + -1)*6.\nAnswer: 518400*sqrt(2) + 8972928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (59 + -3 - (0 - -39)) + -50\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 2414360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2)\/(d\/d**3)*(d**1)**(-36) assuming d is positive.\nAnswer: d**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 898.0484 millennia in months?\nAnswer: 10776580.8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 818229 and 90.\nAnswer: 24546870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54609*w**3\/5 - 109206*w**2\/5 + 10917*w + 12\/5.\nAnswer: 3*(w - 1)**2*(18203*w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*q - 93*q + 189 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -2 + 0)*-22. Let g be (32 + -24)\/((-3)\/12). Let m = g + j. Which is bigger: m or -11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 - 4536*b**2 + 13622*b - 9084 = 0. Calculate b.\nAnswer: -2271, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4382298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2281145 (base 12) to base 9\nAnswer: -13435768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27110 by -5422.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**8\/1512 + 2*z**7\/945 - z**5\/135 - z**4\/108 - 3*z**2 - 3. Let a(p) be the second derivative of h(p). Factor a(k).\nAnswer: 2*k*(k - 1)*(k + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26c6 - 427?\nAnswer: 229f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*k + 9, 0*j - 4*j + 8 = k. Suppose 45 = -2*o + 7*o + 5*t, 5*t = 0. Calculate the remainder when 35*(j + -1 - 1) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39379181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 8 - 13 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 17220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*-1 + 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17*u**2 + 64*u + 186. What is the remainder when 435 is divided by p(-3)?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 23.57 and -551620143.\nAnswer: -551620119.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 2*a - 354 + 2*a**4 + 112 + a**2 + 2*a**3 + 120 + 121 to the form h*a + p*a**4 + l + f*a**3 + r*a**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbejx. Give prob of sequence bkxk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1797813 <= -1797812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z. Let s be p(-1). Suppose -2*q = -s*q + 18. Solve -4*m + q - 22 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43264 and 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 6*u + 5*l + 28, 4*l = 3*u - 22. Let q be 3 - (u + 3\/(-2))*-2. Solve 3*o - q*o + 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 82 + (5 + -3)*-1. What is the remainder when 6\/(-10) - (-2368)\/j is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(190) - 4*sqrt(190)))\/(-3*sqrt(250)))**2.\nAnswer: 171\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477600010 = 3*f + 2*p, 2*f - 7*f + 4*p = 795999980. What is f rounded to the nearest one million?\nAnswer: -159000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*l - 13*l + 6581 - 6845 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(21\/4))\/(s**(-2\/19)*s)*s**(-3\/2)\/((s*s**(-17))\/s) assuming s is positive.\nAnswer: s**(787\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/15)\/(2\/(-12)). Let g = 22\/117 + 358\/585. Determine l so that 3\/5*l**2 - r*l + g = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153748244 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljlljljlllllllllll. Give prob of sequence lj.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, u: 3}. Give prob of sequence uhuh.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2. Let w(t) = -12*t**2 - 8. Let r(i) = -1. Let f(u) = 24*r(u) - 3*w(u). Give f(s(b)).\nAnswer: 324*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2283 (base 10) in base 7?\nAnswer: 6441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0.8. Let k be -2 + (1 - 0) - 0. Let m be 3*(-2)\/(-6)*-1. Which is the closest to k? (a) 2\/11 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - 138 + 548)*(5 - 5 + c)*(1 - 1 - c**3).\nAnswer: -470*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-1\/5)*(j**(1\/2))**(-1\/3))\/(j**(-1\/8)*j**(7\/4))**(-11\/3) assuming j is positive.\nAnswer: j**(719\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18746*s**3 - 39*s**2 - 8600003*s wrt s?\nAnswer: -112476*s - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22*j + 3. Let u(f) = -21*f - 4. Determine 4*q(b) + 3*u(b).\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + (56 + -94 + 59 - (3 + (1 - -9))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2832229 is divided by 28605.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**2 - 7*v + 5. Let r(y) = -41*y**2 - 4 - 53*y**2 + 3*y + 0 + 96*y**2 + 2. Let p be 7*2*(0 - 1). Give p*r(z) - 6*h(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 11180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4004404 + -11?\nAnswer: 4004343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1669245.58 to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 6. Let d = c - -11. Let i = -4 - d. Solve 4*v + 1 = 3*v + i*g, v + 1 = -5*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259*q - 687*q = 760*q - 8084 for q.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (735\/(-275))\/7 - (-4)\/22\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 42. Let l be (16\/u)\/(4\/(-9970)). Suppose i = -4*i + l. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20003400 by -100017.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**2 - 7. Suppose -21 = 8*c - 61. Suppose 2*a + 15 = -3*a + c*l, a = -l + 7. Let i(j) = -3 - 7 - 5 - 75*j**2 + 92*j**a. Give 6*i(y) - 13*k(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 4 + c + 0 - c + 36*c**2 - 8*c**4 to the form s + z*c**3 + f*c**2 + q*c + x*c**4 and give f.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 7*p**2 + 95*p + 104. Give y(13).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 4*u**2 + 3*u - 1. Let c(m) = -2978*m**3 - 693*m**2 - 12*m + 8. Let i(g) = c(g) + 4*v(g). What is the third derivative of i(q) wrt q?\nAnswer: -17844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10403510 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 726.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1539783 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/6)\/((-3)\/18*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38 or 4688?\nAnswer: 4688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 9*w. Let u be n(9). Suppose -l = 3*x - u*l - 12, -2*l - 20 = -5*x. Suppose -4*s = 3*i - 0*s - 18, -x = -i - 2*s. Solve 0*f + i = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11518, 119, 1\/6, 2, -1\/7?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 - 8*m**2 - 8*m + 4. Let d(b) = -2*b**3 + 9*b**2 + 8*b - 4. Let w(f) = 5*d(f) + 4*l(f). Calculate the least common multiple of 12 and w(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/5 - 17785992*t\/5 - 39542688928008\/5 = 0. What is t?\nAnswer: -4446498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 + -117. Let y = -966 - -1054. Let v = h - y. Which is the second biggest value? (a) 4 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 7. Let x be i(7). Let v = 3 + x. What is the first derivative of -v - w**2 + 3 + 2 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12129290 to the nearest ten thousand.\nAnswer: -12130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.346 - 108333.771.\nAnswer: -108331.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*i = 63*i + 2280 + 1095 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/(4\/(-8))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -16*h + 4. Let b = 8 - 6. Suppose 1 = -b*t + 7. Let f(k) be the third derivative of 5*k**4\/24 - k**3\/6 - k**2. Give t*g(c) + 10*f(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -2.\nAnswer: -55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1907269 = 36*v + 106*v - 1910251 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 3. Suppose 0 = -u - 1, -4*c = -4*u - 4. Suppose g + n - 6 = 2*n, c = -5*g - 4*n + 3. What are the prime factors of y(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 2 = -4*u + 3*h, 4*u + 3*h - 25 = 0. Suppose -u*k = -3*k - 136. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -166 - -239. Suppose -s + 10 - 5 + 6*o**2 - 2*o**2 - 64*o = 0. Calculate o.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3 + 2*f - 208 + 4*f + 16*f**3 - 3*f**3 - 10*f wrt f.\nAnswer: 45*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1507 and 2329.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 + 477 + 135 = 137*h. Let o be ((-20)\/(-6))\/((-14)\/(-21)). Solve y = -3*d + 3, -d - h = -2*y - o*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 16, y = -4*v + v + 13. Sort -3, 6, v in ascending order.\nAnswer: -3, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**3 - 2*t**2 + 5*t + 4. Let h be i(3). Let w = h - 43. Let r = w + -109. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1757739 to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*c + 170 = 0, -c = -d + 2*c + 45. Calculate the lowest common multiple of 372 and d.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31668228?\nAnswer: 2, 3, 879673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24553153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23995 (base 12) to base 2.\nAnswer: -1011101111000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((364\/(-65))\/7)\/((-7)\/(-140)*(-56)\/4).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 2:11 AM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310\/124*1\/10.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -120\/1365629 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 17645016. Let r(o) = -3*o. Give r(t(s)).\nAnswer: 3*s + 52935048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -22, 3 in decreasing order.\nAnswer: 3, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17010 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1782*c**2 - 31*c + 581*c**2 + 31*c - 370*c**2)*((5*c - 3*c - 4*c)*(-4 + 1 + 1) - 6 + 4*c + 6).\nAnswer: -12568*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, -7, 1, 2\/7, -8 in increasing order.\nAnswer: -8, -7, -0.19, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/932 and -33\/2330.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - j + 1. Let q(s) = 2*s**2 + 9*s + 5. Let n be q(-4). Let c(l) = -4*l**2 + l - 6. Calculate n*c(o) + 6*r(o).\nAnswer: 2*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -320217499776 + 320209529866.099873. Let c = 7969891 + i. Let o = -18.9 - c. What is o rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 57*i**3 + 2393 - 2392 + i**2.\nAnswer: -57*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -5*b + i + 4, -11*b - 5*i + 30 = -8*b - 3*i for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 483031, 967191, 1451351, 1935511, 2419671, 2903831?\nAnswer: 3387991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32.5 + -28.5. Which is the nearest to -2\/7? (a) 1\/5 (b) m (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 343 + 2978. Is c a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7489 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k + 691. Let r(m) = -4*m - 694. What is 3*r(b) + 2*s(b)?\nAnswer: 2*b - 700","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 265 and 918905.\nAnswer: 48701965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*t = 24. Suppose -3*b - 5*u = t, 0 = -b - 4*u - 7 - 5. What is the greatest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(288) + 1.\nAnswer: -12*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 28, 0.\nAnswer: -1, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-7)\/1 - 3. Solve k*u - 4 = 4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**4\/24 - c**3\/6 - c**2 + 196*c. Let r(m) = -16*m - 1. Calculate -3*d(f) + r(f).\nAnswer: -13*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -300ba0?\nAnswer: -300ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*i - 58*i + 2461 = -427. What is the greatest common divisor of i and 6517?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301046189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -96.86135098 and -0.0207?\nAnswer: 96.84065098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 53. Sort -2, 4, u.\nAnswer: -2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from okzokookkokkkookkkkk.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.70496202 and 5?\nAnswer: 13.70496202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 5)\/((-4)\/2). Suppose 5*j + 26 - 1 = r. Sort -2, j, 1 in increasing order.\nAnswer: j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 10*a - 14*a + 44, 0 = -f - 3*a + 27 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/369)\/(106\/6)*-9.\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 642 - 633. Is 0.5 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64394207 to the nearest integer?\nAnswer: 8025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 4*u**3 - 22*u**3 + 0*u**3.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p + 18*p - 2022*p**2 + 1540 - 1540.\nAnswer: -2022*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*z + 0 - 8 = 0, -4*k - 4 = -5*z. Let b be (-923)\/26 - 2\/k. Let v = 51 + b. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 8*p - 3*l + 2*l, -135*l = -139*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 6*y**2 + 5*y - 5. Let q be p(-7). Suppose q*s - 4*s = 10. Find the third derivative of i**2 - 3*i**5 + i**2 + 2*i**2 - 7*i**s wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 - 2) - (-6 + 6 + 13).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 8*a + 39. Suppose 4*k = -l + 16, -12*l - 4 = -k - 8*l. Let d(g) = -3*g - 13. Calculate k*v(q) + 11*d(q).\nAnswer: -q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1767, 7086, 15957, 28386, 44379?\nAnswer: 63942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 14 + 74. Suppose 72*s**3 + 4*s**5 - 194*s**4 - 17*s**2 + l*s - 47*s**2 + 162*s**4 = 0. Calculate s.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -22.56. Let m = 0.04 - o. Let q(g) = -33*g + 35. Let l be q(1). What is the third smallest value in -3, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 12\/28 + 560\/(-392).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**7*k**(-6)*k*k\/(k**(-2)\/k)*k**8 assuming k is positive.\nAnswer: k**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3434 = -18*k + 34816. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktrz when four letters picked without replacement from trktkkkkzkrt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -d - 4 + 11, 0 = -2*l - d + 11. Suppose 0 = 5*r - b - 19, 0 = -3*r + 3*b - 4*b + 5. Sort r, 5, -2, l.\nAnswer: -2, r, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108)*2 + (-4*sqrt(108)*-1 - sqrt(108)))\/(-4*sqrt(6)*2 + sqrt(768)\/sqrt(8)) + 5.\nAnswer: 9*sqrt(2)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2712216019.\nAnswer: 2712216019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + ((sqrt(210) - sqrt(210)*2)\/sqrt(6) + sqrt(35) - sqrt(35)))\/(sqrt(5)*1*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g = 15. Let y(l) be the second derivative of l**4\/12 - 2*l**3 + 5*l**2\/2 + 27*l. Is y(g) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42 - 8*u - 2*u**3 + 7*u - 4*u**3 + 17*u**3 with respect to u.\nAnswer: 33*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.5, 2\/7, 0, 287?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -4 + 3 - 1 + w**2 + 3*w. What is the first derivative of u(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -57. Solve 0 = v*c - 7*c - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*l**3 + 389269*b**2*l*n - 11915*b**2*l + 6*l**3*n - l**3 + 94*l wrt n?\nAnswer: 389269*b**2*l + 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 - (-15 - 134 - -10)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 38*q**2 - 590*q - 137. Calculate t(15).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 32508 = 2*u - 302*u. Solve -63*z + 36*z = u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553685690 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 43. Give i(-16).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5\/15 - 834\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 4*v**2 - v**2 + 9*v**2 as t*v**2 + y + j*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377031, 377032, 377033, 377034, 377035?\nAnswer: 377036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 15. Suppose 4*q = -w + 112, -3*q + 2*w + 19 = -2*q. Let r = -38 + q. Which is the third biggest value? (a) u (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**4 - 2*v**4 + 5*v**4)*(-v + 40*v + 33*v) + (-4*v**4 - 4*v**4 + 6*v**4)*(12*v - 2*v - v).\nAnswer: -90*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 10:43 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (65\/26)\/(4\/8). Solve o*h = -0*h - s + 6, h + 4*s - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -64, -173, -338, -565, -860, -1229, -1678?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**3 + 4*m**2 + 4*m - 2. Suppose n = -2*n + 15. Let z(x) = 8*x**3 - 5*x**2 - 5*x + 3. Calculate n*g(h) + 4*z(h).\nAnswer: -3*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45.2 + -64.2. Which is greater: 0.2 or s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1\/45 in decreasing order.\nAnswer: 4, 1\/45, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -4373478 and 0.5.\nAnswer: -4373477.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 2696.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 12. Let k be v(-7). Solve -d + 3*a + 3 = -k, 0 = 2*d + 2*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 8. Let d be q(6). Let a be 10\/4*d*1. Suppose -a*b = -3*i - 12, -i - 4 = 4*b - 0*i. Solve 4*f + 2 + 10 = b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -0.3. Let s be (4 + -2)\/((-1)\/3). Let x be (-6)\/s + (1 - -1). What is the closest to d in 0, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 344, -2\/11, 16 in increasing order.\nAnswer: -2\/11, 16, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 + 9.482\nAnswer: 10.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 12*t + 16. Let z(q) = -q**2 - q - 3. Let k(o) = p(o) + 5*z(o). Let l(a) = a**2 - 6*a - 1. Calculate -4*k(n) - 5*l(n).\nAnswer: 3*n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqqq when four letters picked without replacement from {j: 2, q: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 3*s**2 - 3*s - 1. Let i be c(4). Is (1 + 52)*i\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0*k - 6. Solve z = k*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-13)\/39 - 49\/(-3) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1989664972289\/3592 - -553915629. Let g = -18\/449 - x. Let d = -942\/17 - -9981\/170. What is the common denominator of g and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 86. Let i(l) = 6*l - 301. Let t(b) = 6*i(b) + 21*q(b). Let o(x) = -x - 128. Give o(t(z)).\nAnswer: 6*z - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 25 = -163. Let t = 102 + k. What is the remainder when 128 is divided by t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57164*q**2*z**3 - q**2*z**2 + 27431*q**2*z + 2*z**2 wrt z?\nAnswer: -342984*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6843?\nAnswer: 3, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**4 - 5696*b**3 + 43483*b**2 + 18926*b - 30256 = 0.\nAnswer: -1, 2\/3, 8, 1891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 1\/7 (b) -2\/7 (c) -1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -28*l**3 - 43*l**2 - 46*l + 23. What is k(-3)?\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 2?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2092\/781 - 3\/71. What is the common denominator of a and 15\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 153\/17)\/29. Which is the smallest value? (a) 1\/8 (b) -1 (c) s (d) 0.1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1695+-41553488675\nAnswer: -41553490370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/6 - 47*d**2\/6 + 34*d.\nAnswer: -d*(d - 4)*(d + 51)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 3*p**2 + 0 - 3*p**3 - 1 + 2*p**2 + 4*p**3. What is the smallest common multiple of x(2) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 + 4*v**2 - 8. Let r(f) = -f**3 + f**2 - 1. Let m(x) = -2*x**3 + 18*x**2 + 3*x - 22. Let g be m(9). Determine g*r(k) - w(k).\nAnswer: -k**3 + k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16940.3 - 16940. What is the third biggest value in 19, -5, -6, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7172*h**2 + 9319*h**2 - 4076*h**2 - 6*h**3.\nAnswer: -6*h**3 + 12415*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*u - 40, -2*u - 4*y + 6 + 14 = 0. What is the remainder when 11 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-232)\/928)\/(0 - (-1 - 9\/12)). Let w be 9\/6 - 30\/4. Let z be (3*3\/w)\/(-3). Which is the second smallest value? (a) 1\/5 (b) z (c) m (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.86355 + 0.36355. Sort -210, 0.4, -0.2, n, 5 in descending order.\nAnswer: 5, 0.4, -0.2, n, -210","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20346.39*0.5\nAnswer: 10173.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213886 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otty. Give prob of sequence ytt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*w + (w + 0*w + 0*w)*(2 - 3 + 3) + 16*w - 26*w - 55*w + 0*w + 0*w + 2*w.\nAnswer: -58*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of l**6\/42 + 12*l**5\/35 + 43*l**4\/28 + 20*l**3\/7 + 2*l**2 + 6004. Solve j(h) = 0.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6976 and 7854104.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 63\/18*4\/(-7). List the prime factors of (-80)\/(-4) - (r + -1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + 24 - 4*s**4 - 26 - 5*s**3 - 2*s**2 + 5*s + 6*s**3 to the form m*s**2 + y*s + d*s**3 + a + v*s**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11212202112 + -1?\nAnswer: 11212202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 924, 826, 728?\n\"Answer: -98*f + 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -135*g**2 - 34*g - 20. Let t(d) = 135*d**2 + 27*d + 18. Calculate 4*n(a) + 5*t(a).\nAnswer: 135*a**2 - a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**3 - 4*n**2 - 5*n - 4. Let x be o(-2). Let m be ((-1)\/5*-2)\/(11\/x). Solve -4*h = 2*j - 3*j - 8, m*h - 2*j - 12 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 13, -1\/2, 2\/17, -2.3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**4 - 96*h**3 - 312*h**2 - 320*h - 108 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q - 32 = -4*l, -4*q + 81 = 5*l. Let r be 56\/(-6)*18\/(-7). Let s be 12\/30 + r\/15. Solve 3 = s*o + l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 715789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 3*t**2 - 3*t**2 + (-t + 2*t - 2*t)*(-2*t + t - 2*t))*(0 + 0 + t**2).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10553, 0, -5\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53265 - 53254. Suppose -5*t + 1625 = 30. Calculate the greatest common factor of t and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*a - 52 = 3*a, 3*h = -5*a + 124. Let n be -150 + (-80)\/h + (-4)\/(-6). Do n and -152 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.042 - 19\nAnswer: -19.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 4*r + 33. Let n = 37 - r. Solve 5*k - 24 - n = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 40 + 10 = 0. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Let i be (16\/(-8))\/(2\/(-27)). Let l(g) = -7*g + i - 27. Calculate o(l(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238719246.\nAnswer: 2, 3, 311, 127931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z - 42*z = 40. Solve -2 = z*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-33)\/(-27)*-3. Suppose -7*d = -c*d + 256. Calculate the greatest common factor of d and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 24*z**2 - 52*z - 81. What is the units digit of p(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:54 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 10*a**2 - 13*a - 4. Calculate f(9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 3, -9 in descending order.\nAnswer: 4, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2. Let w(x) = -9*x + 5. Let j(t) be the first derivative of -13*t**2\/2 + 7*t - 2. Let y(l) = -5*j(l) + 7*w(l). Calculate g(y(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4030 - -12094\/3. Sort -4, -1\/5, s, 3, 1 in ascending order.\nAnswer: -4, -1\/5, 1, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3 + (1 + 4 - 3)*(-5 + 4 - 1))*(-7*v**2 + 21*v**2 - 57 + 59)*(2 - 2 - 7*v).\nAnswer: 490*v**3 + 70*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*l - 65 - 10, 4*l - 5*h = 145. What is the remainder when 57 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 79 = c + 3*c, 4*k = -4*c - 68. Suppose 5*t = 3*z + 23, -5*z + 5 = -t + 14. What is the remainder when 90\/k - -4 - (-102)\/14 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28071547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 597 and 1132509.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16610?\nAnswer: 2, 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/756 and 11\/85146.\nAnswer: 10728396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/43414 and -1\/16?\nAnswer: 347312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 2605*k - 221490.\nAnswer: -5*(k + 107)*(k + 414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2. Let h(t) = 520*t**2 - 115193. Give h(l(i)).\nAnswer: 2080*i**4 - 115193","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4918 is divided by 123.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*p**6 + 5*p**5*x**3 + p**2*x**3 - p**2*x + 8*p*x**3 wrt p?\nAnswer: 1680*p**3 + 300*p**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(192)*6)\/(((2*sqrt(8))\/sqrt(2) - sqrt(4)) + sqrt(400) + sqrt(16)).\nAnswer: 96*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(34)\/sqrt(2) - sqrt(17)) + 0)*-5 - (2 + sqrt(102)\/(sqrt(6) + sqrt(96))).\nAnswer: -26*sqrt(17)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -5 (c) 9.215 (d) -6 (e) 4 (f) 0.5 (g) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-2*-5)\/sqrt(6))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3ccb (base 14) to base 13.\nAnswer: 4b8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:24 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110200773 divided by -4.\nAnswer: 110200773\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -16b?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/20 + x**4\/2 - x**3\/6 - 3*x**2 + 2*x. Let j be u(-6). Let w be -5 - 102\/84 - (-7 + 13)*-1. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/28 + (-2)\/(-7). Let i be y*(-3)\/(-3) + 4. Suppose -3*c + 18 = 3*a, a + i*c = -0*a + 21. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -866*w - 13491. What is a(-16)?\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20779\/30 - -3464\/5. Let a(t) be the third derivative of m*t**3 - 1\/24*t**4 + 5*t**2 + 0*t + 0. Give a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11097, -22185, -33289, -44415, -55569, -66757, -77985?\n\"Answer: -t**3 - 2*t**2 - 11075*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/5))**44\/((t\/t**4)\/t**(1\/3)))**(-9\/5) assuming t is positive.\nAnswer: t**(642\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1380*l - 1. Let r(f) = 20*f. Give -c(q) + r(q).\nAnswer: 1400*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**5\/50 - 11*q**4\/24 - 28*q**3\/15 + q**2 - 7674. Let l(y) = 0. What is y?\nAnswer: -8, -7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 0 + h + 0 - 3*h. Let a(x) be the third derivative of x**5\/40 + 10*x**3\/3 + 13*x**2 + 2. Let z(s) be the first derivative of a(s). What is m(z(u))?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:05 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isyl when four letters picked without replacement from {l: 3, e: 4, y: 2, s: 6, k: 1, i: 3}?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10468516 or 10468514?\nAnswer: 10468514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 19584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 185 = 160, -2*k - 4*h - 30 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11\/16 - -169\/240. Let v(a) be the third derivative of w*a**5 + 0*a + 4*a**2 + 1\/6*a**3 + 0 - 1\/12*a**4 + 1\/120*a**6. What is v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 657900 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**11\/7920 - i**7\/630 + i**4\/6 + 11*i. Let t(b) be the third derivative of c(b). Find the third derivative of t(y) wrt y.\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 4*k**2 + 3\/2*k**3 + 0 - 4*k. Find the first derivative of b(g) wrt g.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**5 + 2245*h**4\/2 - 448500*h**3 + 67497755*h**2 - 133654495*h - 4460. Determine o so that m(o) = 0.\nAnswer: 1, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - (2 + -2))\/(-4). Let s be (4 + 2\/(-1))*v. Suppose 2*p = -s*p. Solve p = -g - 1 - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111875?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 5*l + 17. Give o(-12).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * 7790178.\nAnswer: 77901.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 0, l - 3 = 3*o + 4*l. Suppose -7*a - 10 + 38 = 0. Suppose o*q - 25 = -2*t - 3*q, a*t + 3*q - 57 = 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 the cube root of 366300 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*17\/1547 - (1416\/273)\/(-4)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d - 12. Suppose d*f - 22 = 46. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p + 36. What is y(13)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (-2 + sqrt(1008))**2*6 - (0 + sqrt(63)*1))*-6.\nAnswer: -36432 + 1674*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - 839796247707?\nAnswer: -839796247726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 35 + 25 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3*g + 1. Let i(n) = -n**3 - 10*n**2 - 6*n - 16. Determine i(x) - 2*t(x).\nAnswer: -x**3 - 12*x**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1373.6 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45660 less than -27?\nAnswer: -45687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m + 11*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5 + p - 2*p**2 + p**3 + 12 + 5*p**2. Let f be n(-3). Suppose -2*c + w = -18, c = f*w + 13 + 10. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19012873 to the nearest integer?\nAnswer: 4360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, 4, 12, 24?\n\"Answer: 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 5)*26\/(-20). Suppose -21 - 19 = -20*r. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 7:39 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in sixty-four fifths of a millennium?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*x = 51*x + 4*g - 374, 4 = 4*g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**5)**30\/((v*v**(-2\/7)*v)\/v**(-2\/15)) assuming v is positive.\nAnswer: v**(-12794\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 45. What is the tens digit of 2\/t*95\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 75. Calculate the remainder when w is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + i + 5 = 0, 0 = 2*t - i - 4 + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3*v = 4, 4*o + 0*o + 6 = v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + 1)**2*-1 + 4.\nAnswer: -29 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20520743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -0.09, -0.008 in ascending order.\nAnswer: -0.09, -0.008, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**5\/60 - 5*w**4\/12 + 7*w**3\/3 - 7*w**2 - 9*w. Give m(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.230421 rounded to two decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 511\/9. Find the common denominator of (-6)\/21 - (-422)\/154 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 - 118. Let l = -53 - q. Let w(j) = -3*j - 27. Let v be w(l). Solve -5*h + v*h + 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4921, -9855, -14797, -19741, -24681, -29611, -34525, -39417?\n\"Answer: x**3 - 10*x**2 - 4911*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2)*(-1)\/(3\/(-318)). What is the tens digit of 4 - 5 - -1*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486 + 88*t**2 - 38*t**2 - 48*t**2.\nAnswer: 2*t**2 - 486","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 341*d + 47872 = 429*d. Calculate the remainder when d is divided by 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**2 - 24*b + 8. Let j be f(-12). Suppose -4*n + 15 + 133 = j. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 1396, 2092, 2788, 3484?\nAnswer: 4180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 383?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100011111111 (base 2) to base 10.\nAnswer: 14591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (12 - 14) - -11 - (11 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 - 81896*l - 900372 = 0 for l.\nAnswer: -20463, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q*q*q\/(q*q**(-1\/2)\/q))\/q*q*q*q*q)\/(q*q**(-9)*q*q))**(-42) assuming q is positive.\nAnswer: q**(-609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54620335.\nAnswer: 5, 7, 11, 141871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*r + c - 3 = 0, -2*c = -3*r + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 58*l**2 - 116*l - 99. Let o be i(-56). Solve -145 = 4*h - o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = -39*h + 20 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**4 + 160296*d**2 - 542618.\nAnswer: 4*d**3 + 320592*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-9))\/((-362)\/(-1629))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-106)\/((-195040)\/1800).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*d = 14 - 7, 2 = 2*y + d. Let i be -1*y\/(10\/6)*-5. Let v(g) = -g**2 - 4*g - 1. Let c be v(i). Solve 3 = -4*b - f, -4*b - 5*f - 1 = -c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*u + w = -73*u, 3*u + 4*w = -10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9143116*h**3 - h**2 + 15117612 with respect to h.\nAnswer: 27429348*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*u + 6*u + 24 = 0, -4*u = -2*k + 18. Suppose -6*p + k*p = -102. What is the remainder when 133 is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76562868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 at most 431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*a = -36*v - 451*a - 505, a = -3*v - 43 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 48*m**2 + 18*m + 9. What is the units digit of z(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 - (-1 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n + 170 - 170.\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 10\/(-4))\/(6888150\/(-19080) - -361)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 18 = 10*g. Let b(f) = f**3 + 7*f**2 + 4*f - 14. Let u be b(g). Is u + (0 - -464 - (0 + -4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (327*u + 852*u - 1629*u)*(0*u**2 + u**2 - 3*u**2).\nAnswer: 900*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/(p**1\/p))))\/p)**(7\/2) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 301 + -302. Which is the nearest to w? (a) -0.3 (b) -2\/3 (c) 4 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3. Let l(o) = 4*o**3 - 3*o**2 + 2. Let m(k) = 5*k**3 + 26*k**2 + 2*k - 4. Let c be m(-5). Suppose 0 = -5*t - c + 6. Determine t*l(z) + 6*s(z).\nAnswer: 2*z**3 + 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((0 - 4) + (-31 - -29))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - u. Suppose 0*o = 2*o + 4*c + 2, 2*c - 17 = 5*o. Let n(z) = 3*z**4 + 8*z**3 + 12*z**2 - 3*z. Let g(t) = o*n(t) + 15*w(t). Factor g(i).\nAnswer: -3*i*(i + 1)**2*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474992 is divided by 474684.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - (-15)\/(-6). Let y be ((-4)\/9)\/(g\/9). Let t = 28 - y. Calculate the greatest common factor of t and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 774 and 1701424.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*r - 8*x + 1, 5*x + 17 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-n + 5*n - 7*n) + (16 - 4 - 1)*(4*n - 3*n + n).\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.3 - 1.3. Let n = 2.5 - u. Let i = 1 + 1. Which is the closest to 0? (a) 2\/3 (b) i (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60607702925*h - 196*h**3 + 60607702925*h.\nAnswer: -196*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*r + 44*r + 1800 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/7, 2\/5, 1\/11, -77 in descending order.\nAnswer: 5, 2\/5, 2\/7, 1\/11, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*j**2 - 34*j**2 + 3*j**2 - 3*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k. Let c(w) = 49*w**2 + 8*w. Let t(y) = y**2 + 10*y + 29. Let p be t(-7). Let a(s) = 16*s**2 + 3*s. Let v(j) = p*a(j) - 3*c(j). Determine x(v(n)).\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 - 653097*w + 7184430 = 0 for w.\nAnswer: -217710, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**3\/3 - 11*g**2\/2 - 7*g + 9. Calculate the remainder when r(-8) is divided by 8\/(-6)*(-9)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 439 - 438. Let x(g) = -g**2 + 15*g - 1. Suppose 2*j - 10 = 20. Let m be x(j). Put m, -2, i, 0.5 in decreasing order.\nAnswer: i, 0.5, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 9:03 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -0.04\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/9 - 1960*m\/3 + 960400.\nAnswer: (m - 2940)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 43. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(33\/12). Let u(t) be the second derivative of 1\/66*t**4 + 0 + 4\/11*t**2 + t + j*t**3. Factor u(c).\nAnswer: 2*(c + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*c, -j = 3*j - 3*c - 1413. Suppose -10*l - 84 + j = 0. What is the remainder when l is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.5, -1, 1\/5, 3349\/162?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/157970 and -65\/1326948.\nAnswer: 6634740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8*d - 15. Let z(s) = -23*s - 44. Let l(k) = -17*h(k) + 6*z(k). Let f be l(-7). Solve 5*r = u, -2*u = -0*u - f*r - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x - 203. Determine n(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.8407 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 + 477*l + 4884 = 0.\nAnswer: -148, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(75\/(-9))\/(-5). Let p be ((-5)\/(-2))\/((-2)\/(-4)). Let m = -1 + 4. Solve 0 = -5*k - p*v, -d*k + m*v - 13 = 27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, o: 5, b: 2, p: 5, y: 1}. What is prob of sequence oypo?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*b, -3*q + 4*b = q - 372. Suppose -2*w + 26 = -c, 0*c = 5*c + 2*w + q. Let y = 82 - c. Does 17 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 4. Let q(z) = -z**3 - z**2 + 6*z + 1. Calculate the remainder when q(b) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 207592076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0) + -5 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -610 in -34, 1\/10, -0.3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 48*i**2 - 51*i + 114. Let r be m(49). Solve -49*b + 53*b = r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 28650 - 26331 = 0. Let s = k + -461. What are the prime factors of s?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**4 - 28160*n**3 - 140905*n**2 - 112740*n.\nAnswer: 5*n*(n - 5637)*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105 + 41*g - 105)*(0 + 0 + 1) - 4*g + g + 2*g - 2 + 2 - 2*g.\nAnswer: 38*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - s + 2*s + (2*s + s - s)*(8 + 3 - 6) - s - 3*s + 3*s - 2 - 2*s + 2 + 2*s + 2*s - 6*s + (0 - 2 + 1)*(s + 0*s - 2*s) - 2*s + 0 + 0.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-6\/7)*z)\/z)\/z**(-1\/6))\/(z*z\/z**(-2\/5))**(-39) assuming z is positive.\nAnswer: z**(19721\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s + 27*s + 1 + 26*s**3 - 18*s. Give v(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - d = -1, 0 = -5*s + 2*d - 0*d + 5. Let v(a) = -67*a - s - 63*a - 5*a + 60*a. Let c(k) = k**2. Determine v(c(x)).\nAnswer: -75*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 5 = -18*d + 21*d, -3*d + q - 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**6\/120 + k**5\/15 - k**3\/6 + 27*k**2. Let x(d) = -3*d**3 - 9*d**2 + 3. Let o be (4\/2)\/((-6)\/9). Determine o*x(a) - 7*l(a).\nAnswer: 2*a**3 - a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10942098997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12244165?\nAnswer: 5, 17, 23, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1021\/2043 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -619888 + 619888 + 2*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -176848382, -176848384, -176848386, -176848388, -176848390?\n\"Answer: -2*b - 176848380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*s - 7*s - 15, 0 = 3*c + 2*s + 4. Suppose -7*u + c*u + 10 = 0. What is the third biggest value in -1\/5, u, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27774774 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a5 (base 11) in base 14?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 414?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28606 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5\/2 + (-240)\/(-48)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-2\/25)*l)*(l**(-1\/14)*l*l)\/l)**(1\/8)\/((l**(-6)\/l)\/l**(-4\/5))**(11\/8) assuming l is positive.\nAnswer: l**(23873\/2800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 17 = -5*l, -4*h + 6*l = 3*l. Calculate the lowest common multiple of 4\/(-3)*h - -2 and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 514*c**2 - 42136*c - 984.\nAnswer: 2*(c - 82)*(257*c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*d + 193, -d = r - 2*d - 51. Calculate the smallest common multiple of 5 and (r\/6)\/(8\/12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4652 divided by -4.\nAnswer: -1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 168838969, 337677932, 506516895, 675355858?\n\"Answer: 168838963*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5)*8*-110. Calculate the highest common factor of 32 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772030829?\nAnswer: 772030829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-176)\/240 - (16\/(-10))\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f + 50 = 0. Suppose -f = -n + q, 0 = -3*n + 2*q + 12 + 17. What is the first derivative of -n*i - i**4 + 1 + 9*i wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1306096 and 99550.\nAnswer: 3982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62488403 and 3352.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-8) + 1\/8 - -5. Suppose -13*l = -t*l - 400. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by 12.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 178*w. Let r(u) = -3*u**2. What is t(r(b))?\nAnswer: -534*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -18. Suppose -d*z = -6*z - 12. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/4*(-2)\/1. Solve 2*c - 6 = 0, s*c + 0 = i + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, 1, -17.\nAnswer: -17, -1, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/6 - 4\/3. Let g(i) = -223*i - 4 - 4 + 8. Is g(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -26348.14?\nAnswer: 26347.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {z: 5, f: 3, v: 1, q: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1600*c - 2 - 6 - 1597*c.\nAnswer: 3*c - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.4, -9833?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 225?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.92505 + -5?\nAnswer: 55.92505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1033404300 (base 5) to base 14.\nAnswer: -427082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 133500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -8. Let l be 20\/o*3\/(-5). Suppose -u + 9 = 2*u. Sort l, u, -2 in decreasing order.\nAnswer: u, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34219, -68441, -102663, -136885, -171107?\n\"Answer: -34222*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (24 + -44 - 12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 6 = 3*h, -2*n - 4 = -10*h + 8*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = l + 4*l. Suppose 6*g = 7 - l. Which is bigger: g or -6\/19?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/(-14) - 6\/(-21). Let q be n\/(-10) - 1\/(-15). Is q > -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/29 - (-26)\/(-10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 0. Let w be -9 + (11 - 4) - (-16)\/10. Which is the second biggest value? (a) 0.2 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/38 - -21*10\/30.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77523\/8 or 9691?\nAnswer: 77523\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i. Let t(f) = 165*f. Determine g(t(c)).\nAnswer: -825*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 7*d - 6*d - 130941*d**2 + 130949*d**2 + 7*d.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/16 and 29\/7466252.\nAnswer: 29865008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*b + 30 = 0, 4*d + 21 = b + 6. Let g = 1606850\/113 - 14220. Which is bigger: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 845 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 352a02 - -26?\nAnswer: 352a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 27*s - 372. What is z(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7918\/16 + (4008\/(-192) - -21). What is the highest common divisor of d and 465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816240 and 5070?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h - 7*h + 11*h. Is h > -1\/276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, w: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 27*q - 3. Let d(o) = 25*o - 3. Calculate -7*d(g) + 6*u(g).\nAnswer: -13*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 13*j - 21*j - j**3 + 6*j**3.\nAnswer: 5*j**3 - 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001 - 11000010110011?\nAnswer: -11000010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 4. Let r be k(4). Suppose -i = -0*i - r. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -3 (c) -604 (d) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + b**2 + 2. Let m be p(0). Let r(n) = -3*n**2 + 5*n**m + 0*n**2. Let c(o) = -5*o - 6*o**2 - 4*o + 9*o. Give r(c(v)).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 456.\nAnswer: -136.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*d - 6*d. Is (9 - 4)*(12 + d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(5)*4*-1.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50826463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 24. Suppose d*s - 81 = -2*s + 3*f, -2*f - 6 = 0. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27143394.\nAnswer: 2, 3, 41, 110339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1618 + 3471. What is the greatest common divisor of j and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/2)\/((-96)\/(-64)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 8*d**3 + 4931526*d**2 - 20959122*d + 4931560 = 0.\nAnswer: -616445, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = -87371 - 49051. What is the highest common divisor of 468 and h?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Suppose -2*v = -5*v. Suppose -b + 3*u + 0*u - 4 = v, 0 = -2*b - 4*u + 32. Let c(g) = -3*g + 8 - b. Calculate c(w(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/5)\/(t*t**(-3\/2)*t)*(t\/(t*t**(2\/7)))**(-20\/9) assuming t is positive.\nAnswer: t**(-293\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -20. Suppose 4*f - l = 13. Suppose -f*r = -3*r. Which is smaller: r or 6\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 7 + 12 + -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-18) + (-25)\/(-3) + -2. Let m be (-220)\/(-70) - 1\/c. Calculate the greatest common divisor of 123 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8389291 and 33\/29317.\nAnswer: 159396529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 753816 and 53897844?\nAnswer: 107795688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0*o + 1\/2*o**5 - 1\/24*o**4 - 1\/6*o**3 + 3*o**2 + 0. Let p be s(-1). Calculate the highest common factor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {g: 6, l: 13}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v - 1. Let j(k) = -4*k**2 + k + 6. Let f(i) = j(i) + 3*y(i). Let n be f(-3). Suppose n = 2*w - 12 + 4. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176944 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c - 3*b + 13 = -29*c, 31 = -3*c - 4*b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/440 and -43\/12.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 80 = -9*d. Let x be d\/50 + (-24)\/(-10). Factor 0*j + 0 - x*j**4 + 0*j**2 + 14\/5*j**5 - 4\/5*j**3.\nAnswer: 2*j**3*(j - 1)*(7*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 0.02, -6364?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7957307\/148 - -53765. What is the common denominator of n and 81\/10?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1393*v**4\/4 - 1131*v**2 - 1815*v. What is the first derivative of p(m) wrt m?\nAnswer: -8358*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 - 186 = -5*c + 2*c. Solve 0 = c*a + 33 + 31 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 7*i**5 - 95*i**4\/4 - 710*i**3 + 3620*i**2 + 2240*i - 2232. Let f(o) = 0. What is o?\nAnswer: -8, -2\/7, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i**3 - 7. Suppose 22 = -12*b + b. Let k be (2 + 2)*((-7)\/b)\/(-7). Let m(t) = -2*t**3 + 3*t**3 + 0 - 1. What is k*a(x) + 14*m(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6333 minus 452.5?\nAnswer: -6785.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w + 4. Let a(q) be the third derivative of -q**4\/4 - q**3\/2 - 2*q**2 + 15. Suppose 3*g - 18 = 6*g. Determine g*a(o) - 5*u(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13 - 14*v**3 - 27*v**3 - 13 - 12*v**3.\nAnswer: -53*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*z = 125 + 239. Solve q = c + z, -c + 4*q - 2 - 20 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 26*f - 2171. Let z(y) = 17*y - 1550. Let r(l) = -5*h(l) + 7*z(l). Suppose -3*w + 28 = 4. Let o(d) = 7*d - 3. What is w*o(i) + 5*r(i)?\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 164653197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 3*p + p. Let n = 251 - 244. Let j(s) = 8*s. Determine n*u(m) - 3*j(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1798 - 1338 + 1598 - 1444 - 2980*m + 2*m**2 = 0. Calculate m.\nAnswer: -1, 1491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/((6 + -4)*-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101267 (base 8) in base 16?\nAnswer: 82b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9372 or -95.2?\nAnswer: -9372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {f: 3, u: 2, v: 1, w: 6}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c6808 - -4?\nAnswer: -c6804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246046.\nAnswer: 2, 43, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.01. Let j = c + 4.41. Let u be 0 + ((-8)\/(-2) - 2). What is the closest to -3 in 0, j, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 10:56 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + 0*v + 13*v**2 + 4*v**4 + 2285 - 5*v**2 - 2284 as m*v**2 + f*v + p*v**4 + w*v**3 + y and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 15) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -5, 70, 22, 5?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2183\/5 in -3\/5, 4, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**4\/2 + 802*s**3\/3 + 404*s**2 - 1608*s + 6557. Factor w(o).\nAnswer: -2*(o - 402)*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 968\/(-33)*((-48)\/32 + (-15)\/(-20)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**7\/630 + l**4\/2 + 11*l**2. Let f(y) be the second derivative of m(y). Let k(s) = -s + 2*s - 2*s. Give k(f(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -158*g**3 - 2*g**2 - 13*g - 2. What is the thousands digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35540 + 15?\nAnswer: -35521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -326 - -808. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1802.\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 601404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/2*(((-12)\/(-2) - -7) + -9).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 - 68*f**4 + 4*f**3 + 68*f**2 = 0. Calculate f.\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7972 + 7972.0002091. What is s rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 21*p + 3. Let u(j) = -5*j - 1. Let s(a) = -6*c(a) - 26*u(a). Let n(g) = -2*g - 4. Let v(y) = -10*n(y) - 6*s(y). Give v(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 9120?\nAnswer: 9130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12*d + 198 = 0. Suppose -20*x + 15*x = -360. What is the smallest common multiple of d and x?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -11 - -1) + -134 + 110?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxl when three letters picked without replacement from olllvxllxoxlllllloxl?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven fifths of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {h: 1, w: 1, d: 2, j: 2, i: 1, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551031486.\nAnswer: 2, 3, 233, 394157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 12*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*r + 232*r - 1 - 275*r.\nAnswer: 57*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 0.3, 0, 3\/5, -614?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -1.8?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 11:09 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 683 + 13204. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:19 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = 544750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2560*h**5 - 619200*h**4 + 50531960*h**3 - 1439674145*h**2 + 3974507355*h - 2584748530 = 0?\nAnswer: 1, 2, 637\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:34 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -103, 17, -6, -4, 1, -5 in decreasing order.\nAnswer: 17, 1, -2, -4, -5, -6, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11 (b) -2\/23 (c) 1\/21 (d) 4\/7 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-6 - 1 - -9) - (-10 + -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3099 is divided by 194?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 205 = -59. Suppose z + i = 3*z. Suppose 5*q - 4 = -t + 4, -t + 4*q = -z. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*v**3 + 379*v**3 + 168*v**3 + 844*v**3.\nAnswer: 1346*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2 + 13 + 5. Let o = c - 8. Suppose -4*v - o = -5*v. Calculate the smallest common multiple of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t - 49. Calculate the least common multiple of 1 and j(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 2.6 (c) -14769 (d) 5 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65240200 (base 7) to base 14.\nAnswer: a50ca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 60416072*l + 456262719488648.\nAnswer: 2*(l - 15104018)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3 - 8, x = -3*v + 6. Let t = 8 + -6. Let d be t\/x + 14\/(-210). Are 1\/5 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24033432 (base 7) to base 4\nAnswer: 20013010311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285590454.\nAnswer: 2, 163, 3943529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(6\/5)\/(a*a*a**(-31)) assuming a is positive.\nAnswer: a**(151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.3, -1, -5\/6, -0.08, 1, -0.7 in ascending order.\nAnswer: -6.3, -1, -5\/6, -0.7, -0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 140, -2, 2, -4 in descending order.\nAnswer: 140, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1523356?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t - 3*t**2)*(3*t - 4*t - 2*t) - 2 - 2*t**3 + 2.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*a + 534*a - 237 = 153*a + 8128 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xziixia. Give prob of sequence zii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270471*k**3 - 135248*k**3 - 135222*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3971, 15941, 35891, 63821?\nAnswer: 99731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 416 by -16.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -275200632 divided by -45866772?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3185 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -430, -431, -432, -433?\n\"Answer: -w - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 241739166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53922437 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/1)\/((-2)\/(-3)). Suppose -y*l - 30 = -8*l. Let i(m) = -m**3 + 5*m**2 + 7*m + 8. Is i(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285738956.\nAnswer: 2, 43, 1661273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 5*x + 3. Suppose 0 = j - 0*y - y + 5, -4*y = -2*j - 12. Let a(f) = -f**2 - 3*f. Let p be a(j). Calculate q(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (31016\/12)\/(9*(-16)\/(-2376)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43130000 rounded to the nearest 1000000?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/5 - a + 6\/5 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.854929 + 4.0450552. Let o = 10.9 - p. Round o to 6 decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.5. Let q = -5579 + 6130.9. Let h = q + -552. Which is the closest to h? (a) 0.6 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 25*f - 133. Calculate i(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2240*c**4 + 2*c**3 - 609*c**2 - 12963334*c.\nAnswer: 26880*c**2 + 12*c - 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, a: 1, y: 1, b: 2}. What is prob of picking 1 b and 1 o?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u = -112. Suppose 119 = 4*a - l, -a - 40 + 75 = -l. Are a and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/(sqrt(7)*-2))\/(1*sqrt(128))*6.\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.24 + 0.54. What is the biggest value in 0.1, l, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 4*l - 34 = -14*l + h, 2*l - 13 = -9*h for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -385c06 (base 13) to base 8\nAnswer: -5127172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 15 = 0. Let h = 12 + y. Calculate the remainder when 50 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*r + 10 = 0, 4*i - 12*r + 12 = -7*r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 3782.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -15\/2. Let d be (-6)\/(68\/(-6) - -2). Let t = d - 1\/7. Is p equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*0.405.\nAnswer: -9.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1355 - 22664?\nAnswer: -21306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 1, u: 1, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*(17 + (-112)\/7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 10:22 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2752679 tonnes in micrograms?\nAnswer: 275267900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = 4*g - 5*m + 143, -5*g - 5*m = -305. Suppose 4*i = i - 6. Is -11 + g - 4\/i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*a = -112*a + 5*o - 1885780, 1131476 = 3*a - o. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*f - 5*x - 1064 = 0, -1058 = -f + 3*x. Suppose 5*w - f = -139. Suppose -146 = -4*c + w. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + j**2 - 11 - 20 + 2*j**3 to the form b*j**2 + t*j + g*j**3 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 6\/13 (c) 0.2 (d) 3 (e) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - -1 - (-77 - 7). Suppose w + b = -45. Round w to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 403 - 5*s - 403. Let l(y) = -17*y - 3 + 2 - 1 + 19*y - 5. Give l(z(x)).\nAnswer: -10*x - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 90, 230, 430, 690, 1010, 1390?\nAnswer: 1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*y**3 + 489*y**3 - 166*y**3 - 154*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1779118 * -5.\nAnswer: -8895590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*k + 36*k - 19*k + (-3 + 2 + 0)*(2 - 2*k - 2))*(-3*k**3 - 3*k**3 + 4*k**3 + (0 + 1 - 2)*(2*k**3 - 2*k**3 - k**3)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/39))\/g*g**15 assuming g is positive.\nAnswer: g**(587\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -263*j**3 + 2 - 175*j**3 + 305*j**3 - j in the form r*j + y*j**2 + c + i*j**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 7\/24*i**4 + 0 + 1\/42*i**7 + 0*i**5 + 0*i + 0*i**6 + 0*i**3 + 2*i**2. What is the second derivative of v(z) wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, d: 5, l: 4}. Give prob of sequence aa.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 - 181 = -m. Let k(g) = 361*g**2 + 36*g + 3. Let t be k(m). Round t to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27772131979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-3 - 3 + 3)*(-2*n**2 + 8*n**2 - 10*n + 8*n).\nAnswer: 18*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -3, -4, -2, 390, -0.18506?\nAnswer: -0.18506","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 13 + (18 - 26) + 4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696969 is divided by 565647.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12\/5, -21 in ascending order.\nAnswer: -21, -12\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)\/m*m)**(1\/2)\/(m**(2\/13)*(m*m**(-2\/5))\/m) assuming m is positive.\nAnswer: m**(161\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 21*b + 13 + 13 - 36 in the form s + h*b and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 559*b - 578*b + 1170*b + (b - 3 + 3)*(1 + 0 - 3) to the form l*b + m and give l.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2. Let f(b) = 4*b**2 - 9*b + b + 8*b. Calculate q(f(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (5 + 4 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4 = -5*p, 0 = -5*p - 5*n + 9*n + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 12:03 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -2*h + 5*s, -s + 95 = -5*h - 4*s. Let l(i) = i + 28. Let f be l(h). Let c = f - -11. Calculate the highest common divisor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1 + 2\/(-2)). Suppose b = -2*l + 4 + 12. What is the least common multiple of l and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -876, 0, -2\/17, -1\/3, 1\/5.\nAnswer: -876, -1\/3, -2\/17, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0, 20, 540, -1, 5 in increasing order.\nAnswer: -5, -4, -1, 0, 5, 20, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6126 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpff when four letters picked without replacement from {f: 6, p: 12}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**4 + 0*l - 2*l**4 + 3*l - 2 - 2*l**2 + 7*l**4 to u*l**3 + j + f*l + w*l**2 + g*l**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + -1*(2 + ((sqrt(245)\/(6*sqrt(7)) + sqrt(35))\/(sqrt(378)\/sqrt(6)))**2).\nAnswer: -2837\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 6*w - 2. Let f(g) be the third derivative of g**4\/24 - 3*g**2 + 100. What is c(j) - 3*f(j)?\nAnswer: -2*j**3 + 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 358960 a multiple of 641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/102 and -17\/1257162.\nAnswer: 21371754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 26*s - 212. What is g(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -73 and -73 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45502085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 8 + 12)*(0*n + 2*n - 3*n + (1 - 1 - 5)*(-6*n + 5*n + 2*n)) - 2*n - n + n.\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15\/4 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000509355649 to seven decimal places.\nAnswer: -0.0000509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 28\/19 (b) -4 (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 184*y + 56. Let g(f) = -1731*f**2. Calculate i(g(h)).\nAnswer: -318504*h**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11392709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 divided by 139?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 - -95. Suppose 0 = -y - 0*y + 2. Let v(h) = 2*h. Let a be v(y). Solve r*t = -a*t + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (3 + -5) - (0 - (0 - -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 26. Let r = -8 + m. Find the first derivative of -5 - r*l**3 + 6 - 4 wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16895 is divided by 4213.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x - 14460 = 0. Suppose 7*z + 888 = 53*z + 65*z. Suppose -z*p + 1124 = -x. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + -28. What is the units digit of -6*(w\/12)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 + 1 - 1)*(-2 - 5 - 1)*(4 - 1 + 19).\nAnswer: -528*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(0 + sqrt(80))*-6)**2 - (sqrt(240) - sqrt(60))\/(-2*sqrt(48))) + 0.\nAnswer: sqrt(5)\/4 + 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n - 5*n + 7*f = -7, 13 + 13 = n + 15*f - 19*f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -2. Let o(r) = -r**3 - 5*r**2 + 7*r + 9. Let p be o(n). Suppose -4*a - 5*h = 26, -4*a - h + 4 = 22. Sort a, -3, p in decreasing order.\nAnswer: p, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1433 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 5088.4847?\nAnswer: 15265.4541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -41714, -83429, -125144, -166859, -208574?\n\"Answer: -41715*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 9 (b) -24 (c) 1781\/6 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*-6*(sqrt(80) + 1*sqrt(80) + sqrt(80) + 5 + sqrt(80))*-3)**2*4.\nAnswer: -1691280 - 207360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26247777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -295112216?\nAnswer: -1\/73778054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 = 4. Let i be 39*(2 + (-3)\/t). List the prime factors of (-754)\/i - (-4)\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/22 and 83\/914618792.\nAnswer: 10060806712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147861 (base 10) to base 15.\nAnswer: 2dc26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27460, 27425, 27390?\n\"Answer: -35*k + 27495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 7*p**2 - 12*p + 16. Let i(o) = -158*o + 798. Let k be i(5). What is y(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7740318*-6\nAnswer: 4.6441908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/31 in -0.2, -90, 1246, -3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12591 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000443000466 rounded to 7 decimal places?\nAnswer: 0.0000443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 11. Let w be a(-8). What is the greatest common divisor of 95 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 (base 8) in base 2?\nAnswer: 101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 289 = 157. Solve 93*y - w = 87*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c*z**3 - 23*c*z**2 - 53*c + 4*z**3 + 18 wrt z.\nAnswer: -9*c*z**2 - 46*c*z + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*l**2 - 14 - 65*l**2 + 14.\nAnswer: -105*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/14 - 4\/7. Let b(l) = 9*l. Give b(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 + (7 - 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:24 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1200)\/105*(-7)\/2. Is 41 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48058*y**3 - 2*y**2 + 3*y - 403.\nAnswer: -288348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13155 + 13155. Let f(n) be the second derivative of 24*n + 0*n**2 + 11\/6*n**3 + 11\/10*n**5 + d*n**4 + 0. Find the second derivative of f(q) wrt q.\nAnswer: 132*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 65. Let o be i(24). Let m(n) = -n + 21. Let f = 6 - 4. Calculate the remainder when m(o) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/894 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j + 3*j**4 - 5*j**4 - 4 + 10*j**2 + 10*j**3 - 28*j**2 + 14*j.\nAnswer: -2*(j - 2)*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 135\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 + x + 649*x**3 - 3*x**2 + 15 - 21 - 4*x**4 - 652*x**3 as c*x**2 + u*x**4 + l*x + r*x**3 + g and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 2 + -11)*-5. Suppose 0 = 5*t + 2*h - 5*h - i, 0 = 5*h. Which is smaller: t or 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i**2 - 2*i - 10. Let z be s(-2). Let w be (-11)\/((-33)\/8) - z\/6. Put 28, -4, w in descending order.\nAnswer: 28, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18\/5 of a gram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.86 rounded to the nearest integer?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -1.5.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.1, -1\/81.\nAnswer: -8, -1\/81, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 129, 230, 369, 558, 809, 1134, 1545?\nAnswer: 2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3437, 4589, 5741, 6893, 8045?\nAnswer: 9197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*s**3*z + s**3 - s**2*z - 3367*s - z + 1 wrt s.\nAnswer: -954*s*z + 6*s - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -3) + 0 + 22*156\/(-1287). Which is the closest to -5? (a) n (b) -6 (c) -1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.58184783 to 3 decimal places.\nAnswer: 78.582","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 2853116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-14 - (7 - (-8 - -1))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.148383ml to litres.\nAnswer: 0.000148383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 442 and 2327.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -109*a + 340*a - 114*a - 120*a. Let p(z) = -21*z**2 - z. Determine d(p(o)).\nAnswer: 63*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -7*j**5\/100 - 43*j**4\/30 + 67*j**3\/30 + 13*j**2\/5 + 24*j. Find v such that z(v) = 0.\nAnswer: -13, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -418845507*r**5 - 127761086*r wrt r.\nAnswer: -8376910140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.3 (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 163*h - 180*h + 91 + 266 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7a4b + -5?\nAnswer: -7a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74\/31 or -11899\/6?\nAnswer: -11899\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2757302 * -14.\nAnswer: 38602228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 71120*h**2 + 604213416*h - 504023396832.\nAnswer: 2*(h - 764)*(h + 18162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 260272647 and 2.\nAnswer: 520545294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-10) - (-24)\/(-10). Let h = 71 + -72. Which is the nearest to h? (a) -1 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82 + 42*o**2 + 82 + (-3*o + 5*o - o)*(-5*o - 2 + 2).\nAnswer: 37*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 17*n**2 + 18. Does 8 divide y(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17734 + -13031. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441972 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a, a - 4*a = -5*l + 1699. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, 140, 626, 1614, 3272, 5768?\n\"Answer: 28*d**3 - d**2 - 41*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 2*s + 2*b = -25, 4*b + 20 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + n**2 - 1. Let t be o(1). Suppose 10 = d - t. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t + 5*t + 0*t + (2 - 3 + 2)*(-2*t - 2*t + 2*t) + t + 3*t - 2*t + (-2*t - 5 + 5)*(4 + 3 - 5).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*j + 53*j - 15. Let b(v) be the third derivative of -v**4\/24 + 2*v**3\/3 + v**2. Determine b(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 - 114. Let j = -996 - -946.9. Let i = a + j. Sort i, 1\/6, 3\/5 in ascending order.\nAnswer: i, 1\/6, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579161187?\nAnswer: 1579161187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11546 (base 8) to base 11.\nAnswer: 3805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2165*d - 8 = 2*o + 2168*d, 4*o - 4*d = 24 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 11168 = -5*x, 123*x + 5*y = 121*x + 4502. What is the remainder when x is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:14 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*y + 2*s, -21 = -2*y - 2*s - s. Solve 2*a + 3*n = -2*a + y, -3*n = -4*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**3 - 7*t**2 - 7*t. Let p(r) = 7*r**3 + 13*r**2 + 13*r. Let n(s) = 11*h(s) + 6*p(s). Let l be n(0). Factor -2\/9*z + 2\/9*z**3 + l + 0*z**2.\nAnswer: 2*z*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.14 (b) 2\/11 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from yyooybbbbggbbbyb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 88\/(3 + -1) - -1. Suppose -15 = -5*p, 3*d - 5*p + 3*p - 3 = 0. Suppose 0 = -i + d*i - 10. What is the greatest common divisor of u and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 3. What is n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0 - 3 + 2624*s**2 - 5254*s**2 + 75*s**3 + 2631*s**2 - 69*s wrt s.\nAnswer: 450*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16 - -1)\/(3\/(-2)). Let y be m\/(-8) + (-1)\/(-4). Let s = 2 + y. Solve -x - 2 = s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 2) + (-495 - (-5)\/(-5)). Let u = d + 494. Solve 4*g - 5*g = -u*v + 11, 3*v - 9 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4029 divided by -2.\nAnswer: 4029\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + 3*(-8)\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 47. Find the common denominator of d and -27\/37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -602 > -31916\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 17555226.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 286404*u + 2291145. Give g(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 82\/5 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (22\/22)\/(1 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from pqnqnpqppppqppppqq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -982*f - 2. Let g(l) = 5236*l**2. Determine p(g(m)).\nAnswer: -5141752*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157645 by 31529.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6600565.\nAnswer: 5, 1320113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -6 + (3 - (-9 + 6 - -4))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 5, o: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 - 835*s**4 - 47030*s**3 - 923450*s**2 - 1709125*s - 831875 = 0. Calculate s.\nAnswer: -55, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + (18 - -17)\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(24)\/sqrt(6)) + 5)**2.\nAnswer: 10*sqrt(17) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 3377645544 and 243.2.\nAnswer: 3377645787.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3437, 6876, 10315?\nAnswer: 13754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -2863, 6, -5, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 735.3149 years?\nAnswer: 8823.7788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45814 + 114275. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90717 or -453581\/5?\nAnswer: -453581\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491211?\nAnswer: 3, 7, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322519961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 3)*(0*n**3 - 9*n**3 + 7*n**3) - 1 + 1 - 3*n**3 to h*n**2 + d*n**3 + s*n + r and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - b)*(-163 + 197 + 257 + 259 + 205 - 124).\nAnswer: -631*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t - 1. Let p = 579 + -581. Let n(k) = k. Determine p*b(d) + 18*n(d).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + 0 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/10)\/((-53)\/(25175\/19))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510536 divided by 39272.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 113, 461, 1041, 1853, 2897?\n\"Answer: 116*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 623 = 10*w + 103. What is the remainder when 70 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3 + sqrt(2299) + -1 + sqrt(2299).\nAnswer: 2 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(99)\/(sqrt(36)\/sqrt(4)))**2 - (sqrt(11) + -1)*-6) + 0 - 1*(sqrt(55) - (-2*sqrt(3520) - sqrt(3520)))\/(sqrt(40)\/(1*sqrt(8))).\nAnswer: -18*sqrt(11) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32140745023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25578 + 25569. Which is the second smallest value? (a) 0.3 (b) 0 (c) n (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 2742 + 2742.\nAnswer: -15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 + 40940*s**2 + 327328*s + 654528 = 0. Calculate s.\nAnswer: -10227, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 404 + -425. Let p = -0.5 - 19.5. Let s = z - p. Sort 0.5, 3, s in decreasing order.\nAnswer: 3, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**4 - c**3 - 2*c**2 + 1. Let f(z) = 10*z**4 + 109*z**3 - 10*z**2 - 116*z + 7. Let m(h) = -f(h) + 7*y(h). Let m(k) = 0. Calculate k.\nAnswer: -1, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 = -0*j, 0 = 3*m + 5*j + 14. Let y(d) = d**2 + 3*d + 5. Let u be y(m). Is 41 a factor of 0\/u + 4*41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8)\/c)\/(c*c**(2\/19)) assuming c is positive.\nAnswer: c**(-192\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 45*f**2 - 39*f + 1757. Let d be j(45). Solve -4 = -4*s, -3 = -3*z - d*s - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6 = 0, -22*p - 11744 = -4*r - 24*p. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*2*(-10 + 8). Suppose -4*j + 10 = -3*t, 6*j - 10*j = -u*t - 8. Suppose t*r = 5*n + 23, 0 = -6*r + 4*r + n + 35. Solve 0 = 4*v + r - 7 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 39*j + 4554. Let l be d(50). Solve -1066*m + 1053*m = l for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8639 + 20788. Suppose 4*p - c = 3*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 10*r + 13. Let x(b) be the third derivative of b**4\/24 - 5*b**3\/6 + 4*b**2. Let c be x(-6). What is the remainder when 7 is divided by a(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-9))\/v)**(-1\/26)\/(v**(4\/15)\/(v*v**7*v)) assuming v is positive.\nAnswer: v**(3541\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -859*s + 972*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5\/3 + 2772122*d**4\/15 - 3049192*d**3\/15 - 16355402*d**2\/15 + 110884*d = 0. What is d?\nAnswer: -2, 0, 1\/10, 3, 138605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**4\/12 - 5*i**3\/6 - 131*i**2 + 4*i. Let k(m) = -4*m - 1 - m - m**2 + 4*m. Give -2*k(s) + w(s).\nAnswer: 2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 108 = 41*r + 22*f - 14*f - 146, -2*r - 82 = 3*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -17?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - 148. Let u be -60*(-3 - 24\/(-9)). Let q = z - u. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*v - 119 = 0, -4*b + 0*b = -3*v - 159. Calculate the greatest common factor of b and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4180279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8563 divide 2004718182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 85. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppg when three letters picked without replacement from pgpgggpggg.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12602870)\/(-100) - (-45)\/150 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/7)*v*v**(-2)*v*v)\/(v*v**(1\/4))**(2\/27) assuming v is positive.\nAnswer: v**(127\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.162 and -5256.\nAnswer: -5256.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abb when three letters picked without replacement from llalblaaalabaaaq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 greater than or equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.2, 5, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.9754 millilitres?\nAnswer: 0.0039754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 6. Let o(v) be the third derivative of v**5\/60 - v**3 - 4*v**2. Let y(m) be the first derivative of o(m). What is l(y(c))?\nAnswer: -4*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -884 divided by 26\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - 2*b - 2*b**3)*(-1 + 1 + 1) - 14*b**3 + 22*b**3 - 17*b**3 + (5*b - 5*b - b)*(-3*b - b**2 + 3*b) - 3*b**3 - 2*b**3 + 2*b**3)*(2*b**2 + 0*b + 0*b).\nAnswer: -26*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 11568954?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -6. Let k = -31.8433344 - -28.8433. Let t = l - k. What is t rounded to six decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15631 divided by -6293.\nAnswer: -77\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j - 6*j - 405 = 0. Which is greater: j or 136\/9?\nAnswer: 136\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 - 112*r - 945. What is w(-12)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-44)\/14 + 1)\/(3 - 783\/189). Factor 0 - 3\/8*r - o*r**2.\nAnswer: -3*r*(5*r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*r**2*v**2 - 4*r**2 - 2157*r - 17*v**2 + 172233*v wrt r.\nAnswer: 42*r*v**2 - 8*r - 2157","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5 - 5 - 657144*r + 2. Let d = 11 - 18. Let v be b(d). What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-10)\/x**18 assuming x is positive.\nAnswer: x**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {i: 4, v: 6}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 10*y + 2. Let x = -136 + 128. Give q(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9565746 centimeters in kilometers?\nAnswer: 0.000009565746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12320231 (base 4) to base 5.\nAnswer: -1400310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/180 + k**4\/8 + k**3\/3 + 4*k**2. Let v(g) be the first derivative of s(g). What is the first derivative of v(q) wrt q?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.28 and 0.2.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.11 (b) 3\/4 (c) 1\/6 (d) -1\/8 (e) -0.3 (f) 1633.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1385 at most 755\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.6 + -17.687. Let n = 6099.287 - 6107. Let l = n + o. Round l to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 50?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*h + 42, 0 = c - h - 3. Suppose c*d + 4*y = 2*d + 24, -2*y = 5*d - 21. What is the greatest common factor of 24 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.44460621 rounded to one dp?\nAnswer: -135.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.00106ml to litres.\nAnswer: 0.04900106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-86 - -38) + 23 - -25\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 + 4*h. Let l(y) = -2*y + 1. Let b(d) = d**2 - d + 1. Let i(w) = b(w) - l(w). Determine -a(g) + 5*i(g).\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 43. Let w be -8000003 + z + -3 + 0 + 3. What is w rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22430010201 - -4?\nAnswer: 22430010205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Let r = -1 + 0. What is the nearest to r in z, 4\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*x = 0, 2*x + 2 = c + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*s - 4 + 15, -5*k - 3 = -s. Suppose 3*h - 85 = -29*a, 2*a - 4*h = -22 - 10. Sort -5, 9, k, a.\nAnswer: -5, k, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.334 and 0.48.\nAnswer: -11.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 78. Suppose 2*h + k + 155 = 4*m, -h - 122 = 3*m. Let s = h + 207. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -240099.694 to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8ab2 (base 12) to base 4\nAnswer: 3300212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 35. Let s = w - -1. Let j(i) = 18*i**2 + 2*i + 1. Determine j(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.012 smaller than 132.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1. Let i(h) be the second derivative of -h**3\/6 - 3*h**2\/2 + h. Give -i(s) - 3*j(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64\/429 + 2\/429. Let t = -0.358 + 0.258. Which is the nearest to t? (a) n (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -19. Let h = 143 - 97. Calculate the remainder when (h\/(-1 - -3))\/1 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.666 + -5.826. Let t = k + 5.16. Is 314 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = 4*z + 200. Suppose -4*x = 3*t - 70, 2*x + t - z = -3*t. Let m be ((-176)\/(-3))\/(1\/3). Calculate the greatest common factor of m and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - m - 1)*(0*m + 2*m + 4*m) to the form d*m + l*m**2 + r and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6582775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*f - g, -4*f = -98*g + 90*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -83. Let g = -1 - -0.6. Let j = g - -0.3. Which is the third smallest value? (a) m (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3470452.\nAnswer: 2, 37, 131, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - 3. Determine o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -34. Let w = 164 - o. What is the greatest common factor of w and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(30)\/(sqrt(10) + (sqrt(10) - (sqrt(10) + -1*sqrt(10) + sqrt(10))))) + 2 + sqrt(3)*-1 - (3 + 1*sqrt(27)).\nAnswer: -4*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89752, -179854, -269972, -360112, -450280, -540482, -630724, -721012?\nAnswer: -811352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -1. Calculate the smallest common multiple of f + 3\/(-3 + 0) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*a - 14802*a**2 + 0 + 0 + 14797*a**2 + 27*a**4 in the form d + m*a + r*a**4 + w*a**2 + u*a**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-3))\/(6\/12). Let b(q) be the first derivative of -2*q - 3\/2*q**4 - 1 + 0*q**l + 0*q**3. What is the derivative of b(w) wrt w?\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwqc when four letters picked without replacement from wwqxxwwxococcocxccoo?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -1\/1124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 5)*(-93*s - 101*s + 159*s) + (1 - 2 + 2)*(0*s + s + 0*s))*(6*s**2 + 15 - 15).\nAnswer: 216*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 22*x - 430. Let y(g) = -14*g + 286. Give -5*c(d) - 8*y(d).\nAnswer: 2*d - 138","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-29)*b)\/(b**(-2\/47)\/b) assuming b is positive.\nAnswer: b**(-1267\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -1.3, -5, 0.09444, -1\/2 in descending order.\nAnswer: 31, 0.09444, -1\/2, -1.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:44 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 - q**2 + 172 + 100 + 101.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -8. What is the remainder when r is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 12*t**2 + 3*t + 5. Let c be v(7). What is the greatest common factor of 279 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + ((sqrt(2448) + 1)*-5 - (sqrt(2448) + -1 + sqrt(2448)*2 - sqrt(2448)) - (0 + 2*1*sqrt(2448)))**2.\nAnswer: 864*sqrt(17) + 198313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 + 31*f - 14*f**2 - 3*f**3 - f**4 - 363 + 12*f**3 - 13*f**2 = 0 for f.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575602 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*r - 48 + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -3*y**5\/20 + y**4\/3 - y**3\/6 + 3*y**2\/2 + 31*y. Is x(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r - 293*r**2 - 8 - 21*r - 266*r**2 + 7*r.\nAnswer: -559*r**2 - 3*r - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.76 and -8.\nAnswer: -94.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 6*r**2 + r. Let o(b) = b**2 - b. Calculate g(w) + 6*o(w).\nAnswer: 2*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(4\/7)\/c)*c*c**(-2)*c**(2\/3)*c\/(c**(2\/9)*c)*c*c)**(-9\/8))**(6\/11) assuming c is positive.\nAnswer: c**(-543\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 2:24 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 234\/(-26)*48\/(-1836)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 10*w + 117 = 0. Suppose 1 = -w*n + 28. Solve -4*l - n*a = -13 - 4, -4*l + a = -5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 5, x: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from iigigiigiiiiiiii?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/67, 143, 16, -5\/4 in descending order.\nAnswer: 143, 16, -2\/67, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3936 and -119\/24?\nAnswer: 3936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k - 16 - k + 87 + 6*k + 0*k as x*k + s and give s.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5536961, 5536960, 5536959, 5536958, 5536957?\n\"Answer: -y + 5536962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + (sqrt(64) + sqrt(64)*-1)\/sqrt(4) + sqrt(16))\/(sqrt(56)\/(sqrt(28)\/sqrt(4)))*6 + 1 + sqrt(24)\/(sqrt(48)*1)*-3)**2.\nAnswer: 21*sqrt(2) + 443\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 12\/11, -4, 5 in ascending order.\nAnswer: -4, -3\/4, 12\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79479 + -79479.40023. Let s = u - -0.4. What is s rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4372486, 4372480, 4372472, 4372462, 4372450?\n\"Answer: -c**2 - 3*c + 4372490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-84))\/(4\/(-14)). Let g = -3.373 + 3.273. What is the fourth biggest value in 4\/3, -2, o, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d + 8 = -4*p, 5*d + p - 10 = 0. Solve 4*c + 16 = 4*v, -d*c = -4*v + 3*v + 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 24*y**2 - 1. Let p(v) = -181 - 14*v + 53 + 128. Calculate p(n(j)).\nAnswer: -336*j**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.9?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399569882.\nAnswer: 2, 37, 5399593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 80169035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010642*z**2 + 2021294*z**2 + 3*z - z - 1010636*z**2.\nAnswer: 16*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - d + 15 = -1, 12 = 3*f + 3*d. Solve 4*w - f*l - 8 = -l, w = 4*l + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**2 + 11*z + 4*z + 2*z**2. Let f(y) = -5*y**2 - 8*y. Let t(k) = 5*f(k) + 3*j(k). Find the second derivative of t(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 99 - 39. Let p = 34 - j. Suppose -o - 5*g = 20, -4*o - 5*g - p = 1. Solve 13 - 3 = o*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 3. Let j(h) be the third derivative of h**6\/120 + h**4\/24 - h**3\/6 + 7*h**2. Let f(a) = -3*j(a) - p(a). Factor f(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-8)*4\/6. Let y = -1174\/7 + 168. What is the closest to y in 4, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261 <= 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 10 = 4*r + 7*o, -3*o - 10 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*v**2 - 6\/5*v - 2\/5*v**3 - 2\/5.\nAnswer: -2*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 1\/2, 2, -2 in decreasing order.\nAnswer: 37, 2, 1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**3 + 5 + 3*t**3 - t**3.\nAnswer: -3*t**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1967766 divided by -2\nAnswer: 983883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87 + 168. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15538291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 e, and 1 g when three letters picked without replacement from gzeeegp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -15*r**2. Let z(q) = -6*q**2 - 9*q. Let l(i) = -5*i**2 - 12*i. Let o(c) = 3*l(c) - 4*z(c). Give j(o(p)).\nAnswer: -1215*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150543*l**3 - 121315*l**2 wrt l.\nAnswer: 903258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1199\/6 + 201. Suppose 0 = 3*s + 4*q - 851, -5*s + 4*q = -6*s + 297. What is the common denominator of s\/(-110) - (-24)\/120 and y?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520773367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 5 = -4*h - 10 + 31 + 6, 5*l + 266 = 32*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243 = -101*r + 90*r. Let q = r - -115. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*3)\/(-3*sqrt(9)*-2 + sqrt(9)).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 5*p + 103 - 111, -24 = -4*a + 2*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 80*n - 675. Give q(22).\nAnswer: 1085","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 153?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*y + 20, s + 5 + 3 = 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -21293.7, 3, 2.3 in descending order.\nAnswer: 3, 2.3, 0.1, -21293.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 1, s: 1, v: 1, g: 1, d: 2}. What is prob of picking 1 d and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-22) - (402\/33)\/(-1). Suppose -3*l + 4 = -l. Suppose l*w - 424 = -3*w - 4*n, 2*w + 2*n = 170. What is the highest common factor of w and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2572001, -2571985, -2571943, -2571863, -2571733, -2571541, -2571275?\n\"Answer: 2*m**3 + m**2 - m - 2572003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**2 + m**2 - 4*m**2)*((0 - 2 + 0)*(4*m - 4*m + 4*m) - 4*m + 4*m - 3*m + 252*m + 239*m + 62*m) to the form r*m + z*m**3 + q + s*m**2 and give z.\nAnswer: -1084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1142, -1134, -1126, -1118?\n\"Answer: 8*s - 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 3065 - a + 801 + 1400.\nAnswer: -a + 5266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 419007.3 weeks?\nAnswer: 253415615040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from huhhuhu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 543475095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-756)\/27)\/28)\/(2\/(-32)*-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4.01, 0.5, -2\/7, 22 in increasing order.\nAnswer: -5, -4.01, -2\/7, 0.5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:21 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p + 22*p = -203*p + 9646 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -8. Suppose -5*z - b + 7 = 0. Let x = 0 - z. Solve 2*k - 5*q - 24 = 0, -x*q - 5 - 7 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13313 + 6651 - 14*m**2 + 6662.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 7*y**3\/6 + 6*y**2 - 4*y + 17. Let n be i(0). Solve -3*v + 6*v + 3*w + n = 0, -3*w + 2 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6597 and 21990?\nAnswer: 65970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 2\/3 (c) 0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(136\/(-618)) - (-627)\/228?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*f + 5600319 - 3849391 + 4524788. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3411 is divided by 122?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 114435*g - 114435*g + g**2 + 2*g**2 + 445*g**3 as j*g**2 + m*g**3 + y*g + z and give m.\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Suppose 0 = -t + h*t. Let n = 274 + -271. Solve t = -n*q - 2*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iias when four letters picked without replacement from isaasqiiesd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:37 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 3*x - 3*x + (4*x + 0*x - 3*x)*(4 - 2 - 3) - 2*x + 3*x + 2*x + 4 + 297*x - 149*x - 158*x + (-3 + 3 - x)*(-1 + 0 + 3) + x - 3*x + 5*x.\nAnswer: -8*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.701 and 84?\nAnswer: 81.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 16*q = -32. Solve -26 = -4*b + 2*t, q*b - t = 2*t + 29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -29. Suppose -4*u + f = 15. Let l = 26 + -14. Calculate the greatest common factor of u and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*s**5 + 11*s + 5.\nAnswer: 2020*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**(-1\/19))**(-8\/7)\/(((x**2\/x*x)\/x)\/(((x**(3\/7)\/x*x)\/x)\/x))**40 assuming x is positive.\nAnswer: x**(-13704\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - -58.9. Let s = -61.9999947 + x. What is s rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7002 is divided by 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-4\/15))**(-5))**(-1\/4))**(19\/6))**(-7) assuming d is positive.\nAnswer: d**(133\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15))\/(1\/3)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5541920622 to the power of 1\/2, to the nearest integer?\nAnswer: 74444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2789322 by -32.\nAnswer: 1394661\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 5*i = -10*r + 20*r - 25, -4*r + 9*r = -54*i - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24824 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 7868875?\nAnswer: 7868875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((248\/279)\/2)\/((-752)\/94)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29.77 and 88?\nAnswer: 2619.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1140*v + 8791. Determine w(-7).\nAnswer: 811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*v = 96*v + 119*v - 34 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 4:48 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1208, -4879, -10982, -19505, -30436, -43763, -59474, -77557?\nAnswer: -98000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 8632 = 35*o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1552*q = -2*i - 1555*q - 38, 53 = i - 3*q for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4 + (-8)\/(-5) + -1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2.338747.\nAnswer: -0.9354988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**5\/5 + 106*k**4\/5 - 1382*k**3\/5 + 782*k**2 + 2480*k + 1400 = 0. Calculate k.\nAnswer: -1, 10, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 - 51*m - 367. What is g(27)?\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 > 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10471 * 0.3.\nAnswer: -3141.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.068301166 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2976748120?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = 3*b - 9*f + 2, 2*f = -4*b + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1305 - -1286. Sort 2\/3, c, 1.3.\nAnswer: c, 2\/3, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Let j be 2\/(-2) - (0 - 18). Let n = j - b. What is the greatest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26324 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeefffeetesdefe. What is prob of picking 1 d, 1 f, and 1 t?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -4*f + 5*u, -5*f = 33*u - 39*u - 95 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2 + 272227116*c + 9263450335709682 = 0.\nAnswer: -68056779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -331*b**3*k**2 + 65498*b**3*k + 2*b**2*k - 3*b*d + b*k**4 - 2969*d*k**2 wrt k?\nAnswer: -662*b**3 + 12*b*k**2 - 5938*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*v - 3*v, -15 = 3*i - 5*v. Suppose -2*r + i + 4 = 0. Solve -k - r = -0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39190.\nAnswer: 2, 5, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 462671 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/174021885 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 2\/3*y**3 + 7*y - 18*y**2 + 0. Let u be c(16). What is the highest common divisor of 42 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-473))\/((-3)\/6)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 511\nAnswer: -510.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2160*d - 40. Let q(r) = 31*r**2. Determine g(q(h)).\nAnswer: 66960*h**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/11, -1.49, 1.74 in ascending order.\nAnswer: -1.49, 13\/11, 1.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 400?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c + 37. Let r be z(5). Put r, -1, -4, 5 in descending order.\nAnswer: 5, -1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 4. Let v be o(4). Suppose -3*f = -v*m + 6*m + 5, 4*m - 2*f - 30 = 0. Is m smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + -451341?\nAnswer: -451324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 47*i - 193. Let r be x(9). Let t = 226 - r. Sort t, 1, 4, -2.\nAnswer: t, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00357802 rounded to 4 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.586mm in nanometers?\nAnswer: 94586000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {j: 1, q: 1, r: 5, l: 4}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 42*p**2 - 718*p + 68 = 0.\nAnswer: 2\/21, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4)*(h\/h**25*h)\/h)\/(h**(-1\/4)*h)**46 assuming h is positive.\nAnswer: h**(-235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*v + v. Let w = v + 3. What is w rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 756 and 360.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, a: 5}. What is prob of picking 3 f and 1 a?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2868417 years?\nAnswer: 0.02868417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1293*y - 5521. What is l(4)?\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -84*j - 87*j + 3 + 334*j - 82*j - 85*j. Let g(z) = -2 + 3 - 2. Determine 3*g(d) + m(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -0.01, 2\/97179?\nAnswer: 2\/97179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78212?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/128)\/(3\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/53901 or -1?\nAnswer: -2\/53901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*h - 136*h - 92*h + 74*h + 71*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, v: 2, c: 2, o: 2, a: 4, u: 1}. What is prob of picking 1 u, 1 k, and 2 a?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**2 - 10*s**2 + 12*s**2 - 11*s**2 - 7*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1391, 1396, 1401, 1406, 1411?\nAnswer: 1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 35*c = 5*l + 7719, 3*c = -3*l + 11631. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10600249 and -39.9.\nAnswer: 10600209.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 5)*(2*m + m + 2*m) - 8*m - 2 + 2 + 821*m + 3907*m to the form v + k*m and give k.\nAnswer: 4715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/6 - 193*w**3 + 110271*w**2\/2 - 816064*w\/3 + 325042 = 0 for w.\nAnswer: 2, 3, 491, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5235*-53\nAnswer: 277455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -527629.568651 - -527629. Let a = -0.068617 - y. Let x = 0.5 - a. Round x to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18403, 18407, 18413, 18421?\nAnswer: 18431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 62\/7*r + 64\/7*r**2 - 2\/7*r**3.\nAnswer: -2*r*(r - 31)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357.53146 + 1194394?\nAnswer: 1194751.53146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1109*z**2. Let g(o) = -3787*o. Calculate g(l(n)).\nAnswer: 4199783*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 212 = -3*c. Let f = -82 + 173. Let z = f - c. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q - 26. Let h(y) = -7*y - 24. Let k(v) = -5*h(v) + 6*x(v). Calculate k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**4 - 2765*k**3 - 2903*k**2 wrt k?\nAnswer: -48*k - 16590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11286*n - 11297*n + 91146. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.0214754\nAnswer: -0.0429508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*s + 107, 0 = -2*b - 2*b + 2*s + 126. Let y = b + -31. Is y >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4565 + 2280 + 2284 - 2*p - 3*p**3 + 6*p**2 to the form b*p**2 + x*p**3 + g*p + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.13827 - 0.14307. Let n = q + -12. Round n to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 84 and 0.18.\nAnswer: 15.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 4. Let x(l) = l**2 + 2*l + 8. Is x(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 5*q - 26 = 0, 4*q = -2051 + 2043 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11101101010000101000?\nAnswer: -11101101010000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245663, 491277, 736857, 982403?\nAnswer: 1227915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 533 + -1649.1. Round k to the nearest 10.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 11 = -5*b, -109*y - 111*y = -213*y - 3*b - 23 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*o - 7092 - 11266 + 6373 = 8567 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 549 divide 146671938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (350\/28)\/(-5)*4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/2)\/s**1*(s*s**0)\/(s*s**(-2\/11)) assuming s is positive.\nAnswer: s**(-29\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x - 35. Let n be i(9). Solve 3*c + 4 = n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/6 + 191\/42. What is the second smallest value in -2, g, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*d. Sort 1, d, 5 in decreasing order.\nAnswer: 5, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74309.8 millilitres?\nAnswer: 74.3098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t + 47*t - 22*t - 924 = -16*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 3) to base 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11414, -11416, -11420, -11426, -11434, -11444, -11456?\n\"Answer: -r**2 + r - 11414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 821551\nAnswer: -15\/821551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.006 < 0.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*(-1 + 3). Suppose -k + 0*k + 17 = 0. Suppose -3*w + v - k = 0, w = v - 9 - 0. Sort 5, w, l in decreasing order.\nAnswer: 5, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**3)**(36\/11))**(-9\/2))**(-10\/7) assuming v is positive.\nAnswer: v**(4860\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*f - 1314. What is the second derivative of -18*h + f*h**3 - 219*h**3 - 14*h**4 wrt h?\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 + q**3 - 23 + 9*q**3 + 2*q**3.\nAnswer: 18*q**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*t, -m - m = 3*t - 21. Let i = m - 3. Which is the smallest value? (a) 2 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kya when three letters picked without replacement from {y: 1, r: 1, a: 2, g: 1, k: 4}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:12 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.091 - 41.909. Let h = -42.0000186 - t. Round h to six decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - 6. Let c be 2\/(-3) - m\/(-12). Is (189\/(-12))\/(c\/16) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 170 and -2.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/7 - 1177*r**4 - 32938*r**3\/7 + 16482*r**2\/7 + 98811*r\/7 - 74115\/7 = 0. Calculate r.\nAnswer: -8235, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*o = -55*o - 5026 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**34)\/u)\/(u\/(u\/(u*u**(3\/16)\/u))*u) assuming u is positive.\nAnswer: u**(557\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -932*p - 699. Determine h(-1).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -864368 by 6.\nAnswer: -432184\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025741198 to 5 dps.\nAnswer: 0.02574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 574302831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30594*y + 83070 = 30620*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2545490413?\nAnswer: 53, 353, 136057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huueeue. What is prob of picking 3 e and 1 u?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18542785 to the power of 1\/2, to the nearest integer?\nAnswer: 4306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(1008))**2 + 3)*4*-1.\nAnswer: 48420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16332 by -644.\nAnswer: -4083\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/33 (b) -2\/17 (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -961*u**4\/4 - 1798*u**3 - 5046*u**2 + 15*u - 21. Let c(p) = 0. What is p?\nAnswer: -58\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1527444?\nAnswer: 2, 3, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1547344 - 211?\nAnswer: 1547133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106837692 - -106837741.999999. Let l = -50 + k. Round l to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1501, 3, -40, 7?\nAnswer: 1501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369668258?\nAnswer: 2, 37, 4995517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181853*a**3 - 1076*a**2 + 162907563*a wrt a?\nAnswer: -1091118*a - 2152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ztjttztjzt. What is prob of picking 2 j and 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -3) + 147 + -150.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 832 divided by 64.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31326, -31257, -31190, -31125, -31062, -31001?\n\"Answer: -c**2 + 72*c - 31397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1920668878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1296 + 764 - 2663)*(w**3 + w**3 + 0*w**3) as c*w**2 + s*w**3 + x*w + n and give s.\nAnswer: -6390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -5 (c) -4 (d) 1846 (e) 21 (f) -130\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -4*i - 24, -5*c + 17 = -0*c + 3*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -8)\/5*4. Suppose 1653 - 616 = 5*h - t*x, -422 = -2*h + 4*x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(1 + 28\/(-6)). Suppose 1 = 4*k - 43. Suppose 3*g - k = 3*l - 4*l, -2*l - 3*g + 22 = 0. What is the greatest common divisor of l and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590134 is divided by 147463?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 157*o**2 - 11*o + 2. Let k be y(10). Let z = -495592 + k. Round z to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 2 + u - u)*(-90*u**2 + 17*u - 48*u + 33*u).\nAnswer: -360*u**3 - 172*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 5664?\nAnswer: -1132.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -54. Is (i - 1)*5\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3757 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3404 + 3415*m - 3404 to g*m + c and give g.\nAnswer: 3415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 5. Let k = -17 - -5. Let t = k + p. Which is the biggest value? (a) 0.3 (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3332*z**2 + 3539*z.\nAnswer: 6664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8141 = 169*c - 402 - 752. Calculate the remainder when 3243 is divided by c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 251 and 8668787.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 3*t**2 - 3*t - 1. Let p(h) = -h**3 - 2*h**2 + 2*h + 2. Let g(z) = 3*m(z) + 2*p(z). Determine g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51472?\nAnswer: 2, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -33. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 + 18. Let w be s(0). Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 5. Let n = -0.376 + 2.376. What is the second smallest value in p, -1, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 6. Suppose 2*t + 0 = -8. Let y be z(t). Calculate the remainder when 22 is divided by (1 + -1 - y)*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2362 + 2367. Let d be (54\/15 + -2)*-10. Let q = d - -28. Solve -z + y*z = -q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/30 + 2531*u**3\/2 + 104*u**2 - 36. Let z(x) = -2*x. Calculate z(t(n)).\nAnswer: 4*n**2 - 15186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, 0.14, 2, -5\/2, 2\/9 in ascending order.\nAnswer: -5\/2, -2\/29, 0.14, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14 + 190*h**3 - 32*h**2 - 81*h**3 + h - 107*h**3. Give t(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 4*z**2 + 4*z - 1. Let b be t(3). Let m = 51 - b. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2315634603 - 4?\nAnswer: -2315634610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/71? (a) 35 (b) 2 (c) -9 (d) -1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 34630816?\nAnswer: 34630816","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 180*t**2 + 768*t.\nAnswer: -3*t*(t - 64)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5847531 is divided by 7945?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459678 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 3\/11 (c) -5 (d) 0.6 (e) 4 (f) 99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -977076 = -5708*v - 12386*v for v.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b50c (base 13) in base 7?\nAnswer: -132646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 2*b**2 - b - 4. Let r = 366 + -368. Let w be n(r). Calculate the highest common factor of w and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b6 - 31a8?\nAnswer: -30b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1589\/16144?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Suppose -537 = -3*w + v - 452, -5*v - 20 = 0. What is the remainder when w is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-6 - (20 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.6 + 4.7. Let y = s - -0.9. Sort y, 0, 0.4.\nAnswer: y, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 10*w + 12. Let h = 244 - 235. Give v(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}