diff --git "a/data/dm_maths/full_data/2461_11255.jsonl" "b/data/dm_maths/full_data/2461_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2461_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the third derivative of 64996206*n**5*r**2 - 199990*n**2*r + 115*n*r**2 wrt n.\nAnswer: 3899772360*n**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:41 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10*n = 14*n - 7258, 0 = 2*f + n - 7258. What are the prime factors of f?\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1307487.6033 to the nearest 100.\nAnswer: -1307500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1542101124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 4*t + 26, -6 = 3*s + 3*t. Which is greater: 5\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743394 + -98.78.\nAnswer: 743295.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3))**(-1\/3))**10\/(((((((h**(-3)*h)\/h)\/h)\/h*h)\/h)\/h**(-4\/9))\/(h*h**(2\/9)*h\/h**(-2))) assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1095376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 7:27 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109.04 - 109.03. What is the third smallest value in 0.3, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738 and 16728?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 - (20 - (19 + -9))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 11 + 215 - 90. Solve m = 8*x - 14 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 545\/4 + -137. Suppose -4*h + 0*h = -5*o - 10, 0 = -o + h - 1. Let g(y) = y + 5. Let v be g(o). Is v != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, r: 2, l: 2, p: 2}. What is prob of sequence rlr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1453 (base 7) to base 6\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189)\/(-3780) + 1727\/(-25740)?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1848897.92?\nAnswer: -7395591.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20446639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, l: 2}. What is prob of picking 2 i and 2 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-5)\/3) + 35\/7. Suppose -8*f = -2 + t. Put -0.3, 0.3, f in ascending order.\nAnswer: -0.3, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0 + 6 + 4*d**2 - 42 - 45 + 52*d - 6*d**2. Let n be o(24). Solve -5*x + 5 = -n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7552.708 years?\nAnswer: 7.552708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10313122 + -2?\nAnswer: 10313120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 27. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (2 - (6 + -8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 2 (c) -5 (d) -2 (e) 266\/71 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 2*w**2 - 5*w**2 + 2*w**2 - 3*w**2 - w**2 + (-3 + 3 + 2*w)*(1 - 1 - 2*w) - 2*w**2 - 2*w + 2*w + (-3*w - 2*w - w)*(-3 + 1 + 4)*(1 - 1 + w).\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (4 - (-2)\/(16\/(-38)))*-144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 1 - 1)*(22 + 40 - v**2 - 3*v + 2).\nAnswer: v**3 + 3*v**2 - 64*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1329069 - -1984069. What is l rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 456 and -130000801?\nAnswer: 130001257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)*3)\/(sqrt(11) + sqrt(275)*-2).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475018.\nAnswer: 2, 237509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 33. Calculate the greatest common divisor of 105 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 + 586. What is the smallest common multiple of 33 and b?\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, r: 2, j: 2}. What is prob of sequence jiri?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/(2\/40). Let b be (-25)\/i - 2\/4. Solve 5*c + n + 23 = -b*n, c + 9 = -5*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3612 + 3615 + 19 + 0\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.61 - -85.61. Let u = 13691386 - 13691470.99919. Let p = u + a. Round p to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186.9999879 - -187. What is d rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r + 3*r - 11*r.\nAnswer: -25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -80.47. Let l = -0.03 + z. Which is the nearest to 1\/13? (a) -0.4 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 1 + sqrt(500))**2 + 4 + 3 + 0.\nAnswer: 40*sqrt(5) + 2008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1755836 - 1?\nAnswer: 1755835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 7*s + 5. Let i(u) = 4*u**2 - 22*u - 16. Let h(k) = -k**2 + 26*k - 45. Let q be h(24). Calculate q*i(w) + 10*m(w).\nAnswer: 2*w**2 + 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -524, -701, -476, 151, 1180, 2611?\nAnswer: 4444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558\/342 - 18\/6*1?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 206?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -107, -96, -71, -26, 45, 148, 289?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 22*c + 61. Let z be i(19). What is the tens digit of 750 - (-1 - z - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127902500 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43265637083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -25. Suppose 0*t - w = q + 3*t, 5*q = 4*t + 26. Solve q*x - 10 = 5*u - 3*x, 4*u - 10 = -2*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000400035 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-2)\/(-3)))\/((-108)\/(-9360)*10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85754 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*i = 3*i - 79, 5*a + 5*i = 110. Suppose l - 4*l = -p, -4*l = 5*p + a. Let j(w) = -w - 5. Let g be j(0). Sort -2, g, l in decreasing order.\nAnswer: l, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 371 divide 7871575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (297699 + 349*a - 595419 + 297709)*(3 - 3 - a**3) as g + m*a**3 + p*a**2 + u*a**4 + y*a and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51213 + -2034224?\nAnswer: -1543011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1736060 divided by -1423.\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -734 (base 11) to base 6.\nAnswer: -4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.46 + -33.\nAnswer: -35.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 173 - 143. What is the remainder when 108 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -0.291, 0.2, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24089628 and 277030722.\nAnswer: 554061444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 3*u**2 + 3*u + 1. Let s be n(-3). Suppose 2*j + 4*b - 24 = 0, -4*j + 35 = 5*b - 1. Let y = s + j. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -35\/1917961?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + z**2 - 3*z - 1. Let k be n(3). Solve 7*p - 12 = -k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 111*c + 2806. Let o(u) = 220*u + 5583. Let n(m) = 3*o(m) - 7*y(m). What is the first derivative of n(q) wrt q?\nAnswer: -117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189300039.\nAnswer: 3, 7001, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-3 - 0)) + -1. Let l(c) = -99*c - 8. Let v be l(-6). Suppose -a*r + 2334 = -v. Round r to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*l = -103*l - 1464. Let b = 351 + l. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2965 + 4264*z**3 - 2127*z**3 - 2124*z**3.\nAnswer: 13*z**3 + 2965","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 820 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1229953267 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118 and 826?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 107*s**4\/12 + s**3\/6 - 67*s**2 - 4*s - 5. What is the derivative of c(y) wrt y?\nAnswer: 214*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and 316.\nAnswer: -66.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1293792210 = 1293792210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gght when four letters picked without replacement from {y: 1, g: 7, h: 3, v: 2, t: 2, n: 3}.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h - 138. Let n(x) = 2*x - 69. Let l(o) = -7*n(o) + 3*y(o). Let b be l(-21). Sort -4, -3, b in increasing order.\nAnswer: b, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/8*(-6)\/7*1778\/1143?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5068, 10147, 15240, 20353, 25492, 30663?\n\"Answer: y**3 + y**2 + 5069*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -8*s**3 - 5*s - 6. Let w(f) be the third derivative of 0*f**5 - 1\/120*f**6 + 0*f - 1\/6*f**3 - 15*f**2 - 1\/24*f**4 + 0. What is r(z) - 6*w(z)?\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 45\/4 (b) 4 (c) 0.2 (d) -21.2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*p**3 - 126*p**3 - 13 + 217*p**3.\nAnswer: p**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7488)\/2592 + 151\/18.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 339 + 246*o - 108 + 54*o - 110 - 110 to the form m*o + d and give m.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 8*x + 9. Let k be f(-9). Let i(m) = 10*m + 89 - 10*m + m**2 - 95. Give i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -7746.\nAnswer: -1\/2582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q - 1. Let d be g(1). Suppose d*w - 39 = -2*p, 39 = 4*w + p + 9. Let u = -38 + 46. Solve 3*a + u = -w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91179 times -2\nAnswer: -182358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/2*(-3)\/15. Let q(s) be the second derivative of -b*s**3 + 0 - s**2 + 4*s. Find the first derivative of q(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*v + 55*v - 11*v.\nAnswer: 133*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 33*h + 96 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7785 + 0.4785. Is j greater than or equal to -1054\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 4*d - 2. Let u be k(-2). Find the third derivative of 3 + 13*o**2 - 3 - 3*o**5 - 8*o**u wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 7*p**2 + 27*p + 25. Let f be g(5). What is the highest common divisor of 162 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -191*v + 83 + 299. Solve 4*h - 7*h = 2*x - 11, -v*h = -5*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.79 times -0.3?\nAnswer: 0.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, -0.3, 1, -0.2, -1, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 2508*a + 762268.\nAnswer: -(a - 2782)*(a + 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10483 bigger than -10101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1728? (a) 5 (b) 1\/2 (c) -5 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 11 + (6 - 3) + (-1 - -5)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsajssl. Give prob of sequence ass.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/22)\/1*17752\/(-79884)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 40.4 (b) -0.06 (c) 0.1 (d) -2.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Suppose 0 = -5*f + 3*n - 8*n + 155, -b*f = 5*n - 83. Calculate the highest common divisor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1)*i**(1\/6)*i)\/(i**(-2\/21)\/(i\/(i*i**(2\/3)*i)))*(i*i*i\/i**(1\/2)*i*i*i)**50*(i**(1\/2))**(8\/9) assuming i is positive.\nAnswer: i**(34907\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 76\/24) + 74\/12. Suppose x = -259*a + 257*a. Suppose -4*v + 2*j = 0, 2*v = -0*j + 5*j. What is the nearest to v in 2\/7, a, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 4*u**2 + 9*u**2 - 15*u**2 - 7*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n - 1. Let x(z) = -11*z - 2. Let r(f) = -13*g(f) + 6*x(f). Let t be r(-3). Suppose t*s + h = 40, -2*s + 42 = h - 6*h. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*y + 51276050 = -6821248 - 5891336. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**5\/60 - s**4\/8 - 56*s**3 + 28. Let j(c) be the third derivative of l(c). Give j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 - 5*u + 14. Determine j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 696 = 0. Suppose 4*x + 2*o = 206, -5*x + 5*o = -2*x - g. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -3 (b) 0.7 (c) -2\/9 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/57, 20\/19, -0.2, 0.207?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22952567.7 nanoseconds?\nAnswer: 0.00000026565471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -468.89 and -0.1.\nAnswer: -468.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 4 = 0. Let u(l) = 2 + 0 - 2*l**2 - g + l. Suppose -5*n = 7*x - 3*x + 14, 4*n + 8 = 0. Give u(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yarygarggggyr. Give prob of sequence gyyy.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, p: 1, i: 2, c: 4, a: 1, v: 4}. What is prob of sequence ap?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*h - 21*h + 8. Suppose 2*y - a + 9 = 0, 0 = -3*y + h*a - 9 - 2. Let t(s) = s**2 + 7*s. Give t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642360.\nAnswer: 2, 3, 5, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -43, -75, -113, -157, -207, -263?\n\"Answer: -3*d**2 - 17*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n + 25\/6*n**3 + 1\/8*n**4 + 7\/40*n**6 - 70*n**2 - 1\/70*n**7 + 0*n**5 + 0. What is the second derivative of i(p) wrt p?\nAnswer: -36*p**2 + 126*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152698884 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 11*n = -13160. Let d = n + 667. Calculate the greatest common factor of 81 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**3*y**2 + 25*x**3*y + 5*x**2*y - 246*x*y**5 wrt y?\nAnswer: 4*x**3 - 4920*x*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 606564 and 1992.\nAnswer: 1213128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5470 * -10923\nAnswer: -59748810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 7, e: 5, o: 2, u: 1, a: 4}. What is prob of picking 1 v and 1 e?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/271231460 and 73\/725800.\nAnswer: 2712314600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -35dd (base 16) in base 11?\nAnswer: -a3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2715 and -0.2?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 6:10 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*v + 163*v = 12396. Let a = v - -2387. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - -150. Suppose 0 = 2*w + w - g. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**4\/12 + 2*h**3 + 3*h**2\/2 + 321*h. What is q(15)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*y - 6 = 0, z + 0*y = -5*y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g = 4*k - 33, -3*k + 15 = -4*g. Let r(f) = -f**3 + 10*f**2 - 6*f - 10. Let a be r(k). Let s = 29 - a. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r - 2. Let k(x) = 6*x - 2. Give 4*k(y) - 3*u(y).\nAnswer: 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68841100 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 4:36 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*j**4 + 48\/5*j**2 + 384\/5 + 272\/5*j - 3\/5*j**3.\nAnswer: -(j - 8)*(j + 3)*(j + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 4 = -4*s, 3*s = 7*s + 4*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15958 by -202.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 8*w**3 - 1 + 8*w**3.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -463?\nAnswer: 4\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -97.2 and -0.2?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 15. Suppose 2*j - q = -7, 4*p + 4*j = 0. Suppose 2*o - p*o + 1 = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 225292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1118660732?\nAnswer: -1118660729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from qjqmqqmqjqqqqgjq.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*c - 3*c + 51 = 0, 5*h - 138 = 3*c. Is 27 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7033 + -7031. Solve 6*p - 4*p + 2 = -2*r, 0 = -v*p - 4*r - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10046 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000335457 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 17*g**2 + 16*g - 5. Let x be t(-18). Suppose 45 = 2*q - x. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 34272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3828 = 51*g + 842 - 2120 for g.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: -290204570 divided by -12617590\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 4686 + 0 + -2. Suppose -5*c - 3*u - 22009 = 0, 4*c = -u - t - 12920. What is c rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20282, -20331, -20456, -20693, -21078, -21647, -22436?\nAnswer: -23481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30980 is divided by 2794.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (75 - 0) + -131.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12400665.11 rounded to the nearest one hundred thousand?\nAnswer: 12400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -38. Let c be ((-546)\/2)\/(-1 + x\/(-2)). Let h = 259 - c. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/231 + ((-3)\/(-1) - (-143)\/(-39)). Is s < -50.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 176*l - 6 - 31*l.\nAnswer: 145*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204205 = 505*g + 1018*g + 16630 for g.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 5 (b) 0.2 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/((-1113)\/((-63)\/(-9))).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-44145)\/270)\/(9\/15420). Round q to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Let s(g) = 5*g**3 + g**3 + 4*g + 6*g**2 - 3*g**u - 2*g**3 + 4. Calculate the lowest common multiple of 6 and s(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/6, 0, 3\/8, -0.18 in decreasing order.\nAnswer: 3\/8, 1\/6, 0, -0.18, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 3 + 0 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -29, 6, -2 in descending order.\nAnswer: 6, 2, -2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n - 13*n + 724*n**2 + 897*n**2.\nAnswer: 1621*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 186*k - 418*k - 3*k**2 + 169*k. Let p(s) = 2*s - 2*s - 5*s + 3*s. Calculate x(p(r)).\nAnswer: -12*r**2 + 126*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 13 = -5*z. Let o(k) = -6*k + 11. Is o(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.2 (c) 659 (d) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 180\/(-40) + 2 + 3 + -1. Let p = 10.6 + -11.6. Which is the second biggest value? (a) -2\/13 (b) -2\/15 (c) p (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/450 and -59\/66?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g*g**(3\/4))\/(g**(-3)*((g\/g**3)\/g)\/g))\/((g**(-2)*g*g**(-4))\/(g\/((g**(-1\/3)\/g)\/g))**(-7)) assuming g is positive.\nAnswer: g**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 45*y**2. Let i(r) be the third derivative of r**4\/24 - 101*r**2. Calculate a(i(v)).\nAnswer: 45*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2 - 54\/(-4). Let s = -2 - -5. Suppose -s*k = -5*k - g. Which is smaller: k or -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 74 = 5*f, -236*w = -3*f - 240*w + 46 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8528059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4544*c**3*f**3*x**3 + 4*c**3*f*x**2 - 4*c**2*f**3 - c*f**3*x**3 + 61*c*f**2*x**2 wrt x.\nAnswer: 27264*c**3*f**3 - 6*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -686\/9*c - 28\/9*c**2 + 2\/9*c**3 - 2744\/9 = 0. What is c?\nAnswer: -7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11071698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:54 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01209 and 17.09?\nAnswer: 17.07791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 4*x + 16. Suppose 64 - 10 = 2*o + 2*y, -y = x. Let j be (-93)\/o*-1*(-2)\/(-3). Solve i = 5, j*m + i - 10 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.08, -5, -351\/8?\nAnswer: -351\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + (sqrt(847) - (-1*sqrt(847) + sqrt(847))))*1 - sqrt(847))**2.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -141324 (base 6) to base 12\nAnswer: -7844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/(-36))\/(52\/312). Let q(s) = s - 1. Let b(k) = k + 5. Let a be b(-5). Let l be q(a). Is l greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68205769747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210 + -200211012?\nAnswer: -200122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197369113.\nAnswer: 197369113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 50 = 2*c. Suppose 3*h - 1 = -c. Let j(s) be the first derivative of s**3\/3 + 3*s**2 + 2*s + 2. Determine j(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7914191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -425*l**3\/6 + 587*l - 3. Let k(c) = -5*c**2. Determine a(k(w)).\nAnswer: 2125*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27872 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.33 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + f**3 - 5*f**3 - 20*f + 12*f**3 + 20*f + (0*f - f - f)*(-5*f**2 + 3*f**2 + 3*f**2).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*o + 5*c + 4, -5*o - 2*c = -7. Find q, given that -12*q**4 - 2*q**3 + 15*q**2 + 4*q**o + 4*q**3 + 3*q**3 - 3 - 9*q = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -21 + 28 - (84 + 0 + 14)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/2128 and 51\/7714.\nAnswer: 61712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/113 - 125\/226. What is the smallest value in v, -2, 66, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28462381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + 32 = 0. Let v(n) = -9*n - 1. Let b(d) = 30*d - 5. Let c(m) = -b(m) - 3*v(m). What is c(z)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 779.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 125.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 489541 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 51*x - 7. Calculate r(-1).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 2 (b) 251 (c) -0.1 (d) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4 = 10*w, -4*w = -4*i - 9*w - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = j + 4*o, 165 - 334 = -4*j + o - 155 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 1)\/(7\/2 - 4). Let y(m) = m**3 + 3*m**2 - 2. Let u be y(-2). Factor -9*w + w - 3*w**n + 2 - 5*w**u + 2*w.\nAnswer: -2*(w + 1)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16711867141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**2 + 0*v**2 - 4*v**2)*(0*v**3 + v**3 + v**3) - 5*v + 21716*v**5 + 3*v - 21718*v**5 - 307*v + 309*v + 11*v**4 + 3*v**5 - 2*v**5.\nAnswer: -3*v**5 + 11*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/35 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.0954 times 4781?\nAnswer: -119981.1074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147361*h**5 + 1519491*h**2 wrt h?\nAnswer: 8841660*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*j = 21, -8*j - 27 = d - 3*j. What are the prime factors of (31 - 1)*d\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1831174?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -81 + -1 + (39 - (67 + (-40 - -2)))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 114*a**3 + a**2 + a - 1. Let u be h(1). Suppose -8*q + 13*q - u = 0. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -61. Let i = 9 - 4. Which is the second smallest value? (a) -2\/3 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.7 * -0.07\nAnswer: -1.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32653\/4 - 8163. Which is the fourth smallest value? (a) 0.12 (b) j (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -35*v**2 - 3103365*v + 111766500 = 0.\nAnswer: -620925\/7, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -903 + -97. Calculate the common denominator of ((-75)\/v)\/((-4)\/(-165)) and -67\/36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-25)*(-205)\/(-41)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30615 = 14*d - 66419. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-40)\/12*4458\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 15 = -3*s - 3*x, 5*s - 27 = -3*x. Suppose 0 = n + 2*k - 19, k - s*k = -10. Let a be 15\/(n\/60*4). Solve 8*m + a = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11\/5 (b) 0 (c) 684 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 627 and 8569.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-2))\/(-1))\/((-3)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 565 - 11?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-126))\/(-10*(-16)\/(-3840))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -27*j**2 + 157*j - 20. Give f(7).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {j: 3, m: 2, t: 4, b: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:31 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 5*x**2 - 2*x**2 + (-5*x**2 + 4*x**2 + 3*x**2)*(-1 - 1 + 0))*(0*x + 2*x + 5*x).\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 + k**2 - 1. Let b be x(1). Let m = b + 7. Let j be (-153)\/68*(-4)\/3. Solve 0*l = m*l + j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k + 4. Let j(w) = 6*w - 8. Let v(c) = 6*c - 12. Let d(u) = -3*j(u) + 2*v(u). Give d(s(q)).\nAnswer: -24*q - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 384 - -294. Let x = 678.0633 - f. What is x rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -22.308 rounded to one dp?\nAnswer: -22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1221 (base 3) to base 8\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-33)*126\/12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = a + 137. Calculate the greatest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 13. Suppose 3390720 = -l - f*l. Let x = l - -750240. What is x rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 25 + 23\/3*g**3 + 35*g + 0*g**2. Let f(d) be the first derivative of o(d). Let x(m) = m. Determine f(x(v)).\nAnswer: 46*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 11.5. Let l = -4 + 6. Let r be l*(-1)\/(-16)*2. Sort r, m, -1\/8 in decreasing order.\nAnswer: m, r, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1175251 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104561627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31597\/7 or -4514?\nAnswer: -31597\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 3:25 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 198\/(-8) + 7\/(-28). Let m be (-45)\/t + (-6)\/(-5). Solve m*v + 5 = -5*o, o + 3*o = 3*v + 23 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86*c*w**3 + 1944*c*x - 23218*w**3 + 26*x wrt c.\nAnswer: 86*w**3 + 1944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14977*v + 224642. Calculate x(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-858)\/(-91))\/6)\/((-14)\/(-490)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 348, -2\/15, -5, 2.01.\nAnswer: -5, -2\/15, 2.01, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*557.91.\nAnswer: -2789.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 404 + 0?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4634 - 2150. Suppose -h = -2*n - 926. Suppose -2*u = 5*w - 2393, 2*u + n + 660 = 3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggtggxgrrtg. Give prob of sequence xgx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10\/(-9) + (-265826)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22122212122 + -20?\nAnswer: 22122212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48610?\nAnswer: 2, 5, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205734 and 6?\nAnswer: 205734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 i when four letters picked without replacement from ggggiggiig.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16*-2 + (-2)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1652493111 + -1652488659.029965. Let y = p + -4463.97. Let b = 12 + y. What is b rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4515394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Let j = -43 + 44. Solve 4*t + j + 1 = u, -n*u - 3*t - 7 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1139, 13, 1, 2, -1 in decreasing order.\nAnswer: 13, 2, 1, -1, -1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -57410, -9 in decreasing order.\nAnswer: 1, -9, -57410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0*o**5 + 0 + 0*o**6 + 0*o**7 + 5\/56*o**8 + 0*o**2 + 0*o**3 - 3*o - 2\/3*o**4. What is the third derivative of l(u) wrt u?\nAnswer: 600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 8*t**6\/3 - 181*t**2 - 358*t. Find the first derivative of v(s) wrt s.\nAnswer: 320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/3, 0.002, -2\/15 in increasing order.\nAnswer: -2\/15, 0.002, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -765784 - -1154381. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:45 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/2 + 0 + (-14)\/4. Factor -r**2 + 1 - 1\/2*r + f*r**3.\nAnswer: (r - 2)*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 263 - 125. Suppose 3*s + 5*y - 135 = 0, 3*y + o = 3*s + 7*y. Calculate the highest common divisor of s and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z*z**(-5)\/z*z)\/(z\/z**9*z\/z**(-2\/23)*z) assuming z is positive.\nAnswer: z**(-71\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.1, -0.03207?\nAnswer: -0.03207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 4. Let f be w(0). Suppose -f*z = -2*z + 7800000. What is z rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 4*f - 3*g - 166, -3*f = -5*g - 119. Let a = 63 - f. Let i be (5\/((-25)\/(-18)))\/((-27)\/(-450)). What is the highest common factor of i and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 4*h**2 + 13*h - 8. Calculate y(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 116, -4 in increasing order.\nAnswer: -4, -3, 4, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 9:01 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0034306 (b) -2\/23 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 147. Let r be 5*(4 + (-14)\/m) + -2. Let z(f) = -f**3 + 12*f**2 - 9*f - 9. Give z(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242 - 210412?\nAnswer: -210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 14*n. Calculate the common denominator of (2 - n)\/(160 + 4) and -41\/6.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 1.8. Let w = 0.7 - 0.57. Let a = -5.13 + w. Sort v, a, -1\/11 in ascending order.\nAnswer: a, v, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1527, -6121, -13789, -24531, -38347, -55237?\nAnswer: -75201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 6*z**2 - 7*z + 4. Let c be (-5)\/(-45) + (-74)\/18. Let l be f(c). Which is bigger: l or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/12 (b) 3.4 (c) 3 (d) -30\/61 (e) -0.4 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(-7\/4)*h**(-7)*h\/((h*h**(3\/7))\/h) assuming h is positive.\nAnswer: h**(-319\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 152, 2\/29, -8?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 28\/3*a**3 - 36 - 7*a + 1\/5*a**5 + 0*a**2 + 0*a**4. Differentiate z(p) wrt p.\nAnswer: 4*p**3 + 56*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 10:51 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 296 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002592271 to 6 dps.\nAnswer: -0.000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*p**3 - 45*p**3 + 248*p**3.\nAnswer: 396*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 3) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 67726653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e - -48?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0458 + -96.0458. Let n = 101 + z. Let l be 12\/54 + (-4)\/(-9). Which is the closest to -2\/3? (a) 0.3 (b) n (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6087003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42\/10 - (-6)\/(-30)) + -1. Solve 1 = -a*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*v - 777*v + 3*v**2 + 386*v - 211*v**2.\nAnswer: -208*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 18*c**2 - 7*c - 38*c**2 + 22*c**2 - c**4 + 1 to the form z + t*c**2 + x*c**4 + u*c**3 + m*c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -207 - 4*t**4 + 424 - 7*t**3 - 217 - t**2 - t - 13*t**3 in the form q*t**3 + g*t + f*t**2 + o + z*t**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**5 + 229*g**4 + 33*g**2 - 75.\nAnswer: 120*g**2 + 5496*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 76*b**3 + 76*b + 23 + 2*b**2 + 9 - 6*b**2 - 16*b**4 - 7*b**2. Let o(u) = -u**4 + 2. Let x(q) = -4*o(q) + y(q). Find w such that x(w) = 0.\nAnswer: -6, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 472 = b, -9722 = b + 5*g - 9548 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 18225640.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23578.3395 - -5674.\nAnswer: -17904.3395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -568\/3 + 190. What is the closest to c in -1\/9, 1\/5, -0.53, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 26 = -109. Suppose -5*s + v = -30. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-20))\/((-16)\/40)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)*-2)\/(sqrt(7)*1*6))\/((-6*sqrt(75)*2 + sqrt(75) - sqrt(75))*5).\nAnswer: sqrt(2)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 16651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 31 + 48)*(-j + j - 3*j)*(5*j + 2*j**2 - 5*j).\nAnswer: -630*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 6833?\nAnswer: -5\/6833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-12*10)\/((-17)\/102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -369 times 134015\nAnswer: -49451535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 + -0.23756\nAnswer: -0.01756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.73 rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - d**2 + 3*d + 81. What is r(0)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*x - 54940 + 51574 = 0. Factor 0 + 1\/2*k**3 + x*k**2 + 0*k.\nAnswer: k**2*(k + 34)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2129 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 6*p**2 + 7*p - 7. Let s be h(5). Calculate the greatest common factor of 15 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1411\/427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108) + 0)*-2)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 + 0 - 1\/3*j + 1\/3*j**3.\nAnswer: j*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 2*g + 6. Give c(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81735131 - -164535134. Suppose 0 = 3*j - 5*n + 43389664 + 18710351, 4*j = n - i. Round j to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 2, 0, -51 in ascending order.\nAnswer: -51, 0, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -176*j**2 + j - 9. Let q be x(-4). Let s = -9829 - q. What is s rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*x - 80*x + 442 = -308. Let t(p) be the first derivative of -8\/3*p - 5\/6*p**4 - 2 + 26\/9*p**x - 4\/3*p**2. Let t(a) = 0. Calculate a.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(36) - (-4*sqrt(8)\/sqrt(4))**2.\nAnswer: -32 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.50679 rounded to 1 decimal place?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -6)\/(3 + -5). Let b be 60001 + (-3 + 1)\/f. Round b to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*l + 543018, 9*l + 724016 = 4*t + 13*l. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/6)\/1 + -2 + 1. What is the nearest to h in 1, 4, -1\/3, 0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4763563902 to the nearest integer?\nAnswer: 69019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -145*s**4\/24 + 56*s**3\/3 - 88*s**2. Differentiate k(o) with respect to o.\nAnswer: -145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17a - 1?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 15*v + 9*v - 8*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-4)*2*1*27\/(-36)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**5\/50 - a**4\/10 - 3*a**3\/5 - a**2 + 7*a - 6. Factor z(t).\nAnswer: 2*(t - 5)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5510 or 5617?\nAnswer: 5617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -281 - -106. Let c = 205 + u. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14372947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 88. Let q(f) = -f - 4. Let v be q(y). Solve 0 = 2*j - 6*j - v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1059858 is divided by 156.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35542100 is divided by 437.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 6196 = -6292 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 35*t - 165. Let d be j(-5). Solve -20*v - d = -27*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*f + 11*f - 30*f**3 + (3*f**2 + 2*f**2 - 6*f**2)*(f - 4*f + 5*f) to the form l*f**3 + p*f**2 + y + d*f and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 13 - 3*x - x)*(-5*x + 2*x**4 + 5*x).\nAnswer: -8*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.071 and -4?\nAnswer: 4.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-533)\/(-1521) + (-27)\/(-243).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - (-2 + (8 - 10)). Solve -5*q = 2*m - 25, 0 = q + 5*m + w - 36 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, d: 5}. Give prob of picking 2 d.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 35*z + 3601. Let l be m(45). Is l > 30\/427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, -1\/10, -0.49?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176260385 and 15615?\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, a: 2, h: 2}. Give prob of sequence ahaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*((-41)\/(-1) + 0) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 + 9*i + 12. Calculate b(-9).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*f = 41, 4*h + 39*f = 45*f + 136. Calculate the highest common factor of h and 2077.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 676 = -g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 15 = -5*t - 21*t + 128 + 12, 0 = -5*r - 2*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1008319, -1008316, -1008313?\n\"Answer: 3*b - 1008322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32835 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g + 1. Let q be x(1). Let w(s) = 2*s + 12. Let o be w(-7). Is 21 - (q + o\/1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -71. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 62*d**2 + 7*d - 124. Give v(31).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*5 + 8\/(-4). Suppose 0*b = 5*b - 15, 2*m - 41 = -5*b. Let k = m + d. What is the remainder when 17 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*a - 31 = 63, 0 = 2*b + 4*a - 94. Let c = -47 + b. Suppose c = 5*j + 60 - 1795. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24485 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*3\/(-36))\/(3\/((-42)\/(-4)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 + y - 2. Let f be m(2). Let u be 2\/f*17\/((-85)\/(-50)). Solve u*c - 2 - 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -17. Let j = 832\/5 + -69071\/415. Let d = j - -181\/415. Put s, 1\/6, d in increasing order.\nAnswer: s, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -34\/5 (c) -2 (d) 1 (e) 148\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/((2*(-66)\/2090)\/((-3)\/1)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sswb when four letters picked without replacement from {s: 4, w: 1, b: 9}?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3833, 8177, 13039, 18425, 24341?\n\"Answer: w**3 + 253*w**2 + 3578*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*l - 5. Suppose 19*r - 23*r = -176. Suppose 0 = 2*c + 5*j - 15, -l*c = 2*j - r - 4. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99 - 26 - 134) + 3?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 44*r**2 + 140*r + 100.\nAnswer: 4*(r + 1)*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*t - 2. Suppose 0 = 5*i + t*g - 15, g + 3*g - 20 = i. Solve i = 2*k + 12 - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 193. Suppose p = 2*h + 11. Suppose -g + h = 10. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-3)\/(9\/(-15)). Suppose 0 = 2*q + t + 8. What is the remainder when 27 is divided by (1 - 2)\/(1\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 4*m + 1. What is the remainder when 22 is divided by n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189630167?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -12874?\nAnswer: -12873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s = -6*s - 20*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dpim when four letters picked without replacement from {p: 2, c: 2, i: 4, j: 3, d: 2, m: 1}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/872258 or -1?\nAnswer: -3\/872258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = c + 4*s + 125, -5*s = 3*c + 88. Let a = c - -23. Suppose -3032 + 1194 = -a*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 10. Let c be (-66)\/k + (-2)\/8. What is the highest common divisor of 40 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.05 (b) -171 (c) -1 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 2:23 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a8 + -29?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 0*n**2 + 2*n**2 - 3 + 11*n**2 + 2*n**3 + n**4 + n**2 - 2*n**2 to g*n**3 + w*n + v*n**2 + f*n**4 + a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 62*c**2 + 963*c + 90. Give v(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**4\/4 + 3*j. Let o(i) = -42333 + 42333 - 5*i + 5*i + 2*i**2. Calculate y(o(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6090 times 0.18?\nAnswer: 1096.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 1.35\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -741*w - 5. Is c(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2907568 divided by 4.\nAnswer: -726892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 3:15 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60612722 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n - 389. Let m be q(-20). Which is bigger: -1881\/10 or m?\nAnswer: -1881\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -540*n + 271*n + 10 + 269*n + n**3 - n**2 + n**3 as o*n + m*n**2 + q*n**3 + x and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 57, 629, 17, -3.\nAnswer: -5, -3, 17, 57, 629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20911.\nAnswer: 11, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tturrtrureuzteteuttj. What is prob of picking 3 t and 1 z?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 434741011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, 10, 41, -2, -1\/4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 986870, 986865, 986858, 986849?\n\"Answer: -k**2 - 2*k + 986873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232.67 + -180.67. What is the fifth smallest value in -3, -2\/3, f, 0, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45102360 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 85*g**2 + g - 2. Suppose -1 = -o - 3*m, 2*m + 2 = 2*o - 0*m. List the prime factors of i(o).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 486\/(-6)*-1. Calculate the highest common divisor of k and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + n - 9. Let w(a) = a - 5. Give 3*r(i) - 5*w(i).\nAnswer: -3*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 810674, -4 in descending order.\nAnswer: 810674, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106*-0.148.\nAnswer: -15.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2536996 divided by -2?\nAnswer: 1268498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 d when four letters picked without replacement from {e: 2, r: 1, k: 1, g: 2, c: 1, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -5\/2*f**2 + 1\/12*f**4 + 15*f - 5\/6*f**3 + 0. Calculate z(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - 0. Suppose o + 6 = 19. Let n be 2 + (546\/(-20))\/o. Put l, n, -1\/3 in decreasing order.\nAnswer: n, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -8, 3, 2, -85 in descending order.\nAnswer: 3, 2, -0.06, -8, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -80?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904491?\nAnswer: 41, 46451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(104\/2964 - 1048\/(-456))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 77. What is the lowest common multiple of 17 and j?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 3788*p**2 + 34416*p.\nAnswer: -4*p*(p - 9)*(p + 956)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 857 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*p = -p + 28, -h + p = 3. Suppose 4*o + i + 35 = 0, 6*o - o - 2*i = -47. Let g = h - o. Solve -2*x + 0 = g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.21 + -51.64. Let h = -36 - u. Let x = h - -0.57. Which is smaller: x or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddb when four letters picked without replacement from ddddbbd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/11708 and 91\/60328.\nAnswer: 176580056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -0*c + n + 1, 5*n + 41 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - j = -26, -5*d - 780*j + 783*j = 46 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1336\/(-6) + 0)\/((-19)\/57). Suppose -a = -3*q + 4*x + 608, 5*x = 5*q - 2125. What are the prime factors of q?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/(-90) - 3284\/10. Which is smaller: -328 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110760\/(-398736))\/((-65)\/4).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -1 (b) 3 (c) 0.4 (d) 4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 35 = -c - 12, -4*c - 3*s + 89 = 0. Suppose -5*g - 30 = -5*o - 270, -o = -2. What is the highest common divisor of g and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 23. Determine y(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3438 - -3438. Which is the nearest to 8? (a) n (b) -3 (c) 97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34259 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.062, 78.1, 3, 0.1 in decreasing order.\nAnswer: 78.1, 3, 0.1, -0.062, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15967647.871 from 414.\nAnswer: 15968061.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1630128\/227675 + -1\/9107. Let t = 114\/25 + n. What is the common denominator of t and 7\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*s = -2*t - 3, 6 = -t + 5*s. Suppose -2*u = u - 6. Calculate the remainder when u is divided by 3 + (0\/t - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/((-3)\/474). Suppose -2*r = -r - g. What is the remainder when r is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1240 + 32*g + 1242 + 24*g.\nAnswer: 56*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10832 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**6\/180 - 4*k**3\/3 - 4*k. Let t(a) be the second derivative of x(a). Let u(g) = 2*g. Determine u(t(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 38*d - 105. Give o(20).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-3\/5)*a**(-13))\/(a**(5\/3)\/(a*a*a**1)))**(5\/8))**(-2\/77) assuming a is positive.\nAnswer: a**(169\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4888321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(704) - 5*sqrt(704)*2 - (sqrt(704)*-1 + 4 + sqrt(704))**2*-5)*-3.\nAnswer: -249 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 46561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) 29 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -31, -42, -51, -58, -63, -66?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-35)*2)\/(20\/600). Let x = 1421 - 1421. Find q such that -3\/7*q**2 + x - y*q = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-4)\/5)*-20. Calculate the highest common factor of 36 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 + 111. Let f(v) be the third derivative of -v**6\/120 + 2*v**5\/15 - v**4\/4 - 4*v**3\/3 + 4*v**2. Determine f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 757123 at least 757123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*o + 8*o + 4*z, 5*o - 16 = 4*z for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:50 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-48))\/(-3*105\/2565)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -217, -3, -5, 4 in decreasing order.\nAnswer: 10, 5, 4, -3, -5, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34656293?\nAnswer: 7, 271, 18269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(1 + 1 - 2). Let r(j) = -29*j + 178. Let v be r(6). Let m = 121\/497 - -3\/71. Which is the nearest to i? (a) m (b) v (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**2 + p + 12. Let r be z(-8). Let f = r + 536. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11c992 - 4?\nAnswer: -11c996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -282*y + 269*y - 273 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4409760 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 23. Let b = 125501\/12033 - 2\/1719. Let s = -11 + b. Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:45 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036713 divided by -345571?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y**2 + 11*y + 2. Let i(a) = -9*a**2 + 12*a + 3. Let z = 24 - 15. Suppose -3*j = -z - 6. Let s(n) = j*i(n) - 6*u(n). Determine g so that s(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 1.236. Let m = h + -0.564. Let d be 0 + -1*1\/3. Which is the nearest to d? (a) m (b) -2\/17 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49505, 99019, 148535, 198053, 247573, 297095, 346619?\nAnswer: 396145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.4 - 9.4. Let o = x - 21. Let a = -19.0000009 + o. What is a rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 6 + (-6 - -5) + -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -8*j - 7. What is the units digit of x(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 48 + 0 = 0. Let x be 3 + -1 + 44 - 2. Let v be x\/n + 2\/8. Solve -4*p - v = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-9)\/m*m)**(4\/13)\/(m\/(m**(-3\/8)*m)*m)**(-19) assuming m is positive.\nAnswer: m**(2429\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/110)\/(876\/(-730))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o - 22. Let i(l) = -24*l + 55. Let n(h) = 2*i(h) + 5*r(h). Let t(s) = -9*s. Give n(t(x)).\nAnswer: -63*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:36 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1171845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.1. Let p(i) = i**2 - i + 18. Let g be p(12). Suppose -2*s + 142 = g. Which is the second smallest value? (a) -2 (b) -0.01 (c) s (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {l: 3, k: 4, y: 3, z: 2, u: 4, p: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*j - 29 = 0, v + 3*j = -j + 19. Suppose -v = -2*h - 5. Suppose h*m + 39 = 4*o - 3*o, -4*m = -20. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33277317371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/2)\/((-2)\/(-4)). Let p = 12 + z. Solve -3 = 5*k + 2*d, 4*d - d = k + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10535039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 71\/3, 2\/9, 2 in ascending order.\nAnswer: 2\/9, 2, 71\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/40 + t**4\/24 - t**3\/12 - t**2\/4 + 8*t. What is j in g(j) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -636124*z**2 + 3*z + 638461*z**2 - 822*z**3 - 3*z wrt z?\nAnswer: -4932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 11:15 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2562\/2 - (2 - -13)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 - -57. Let b be (-3)\/((-15)\/2)*k. Solve -5*y = -g + 5*g + 2, 3*g = 2*y + b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 73*s**2 - 3*s + 1546. Let q(r) = -14*r**2 + 1. Calculate k(q(x)).\nAnswer: 14308*x**4 - 2002*x**2 + 1616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192730 = -192*l + 311055 + 50327. Is l a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026164 to four decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017234 rounded to four decimal places?\nAnswer: -0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Suppose k*j = -j. Suppose -4*b - 1 = h - 22, j = -5*b - 4*h + 40. Calculate the remainder when 6 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22356221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -11. Suppose l = d + 3*d. Suppose 0 = -d*a - 0*a + 75. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1300)\/910*(-2)\/10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3468106 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (10 + (14 - 18) + 19 + 6 + -14).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 2*s - 20 - 70)*(-s**4 + s**4 - 2*s**4).\nAnswer: -4*s**5 + 132*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114421065?\nAnswer: 3, 5, 11, 43, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -8*r - 7. Let m be p(-5). Suppose -z = -0*z - m. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372476296?\nAnswer: 2, 563, 82699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 78*((1 - 2) + 77\/21). List the prime factors of c\/(-6)*105\/(-10).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d - 20. What is the tens digit of p(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 * -5\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*12\/(-9)*6\/4. Suppose -z*h + 2 + 14 = 0. Solve -3*t + 6 = -2*f, -2*t = 2*f - f - h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at most as big as -258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 203098*w - 5485104.\nAnswer: 2*(w - 27)*(w + 101576)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24606857*d + 24606860*d - 2 + 2.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3*o - 1. Let j be l(-4). Find the third derivative of u**5 + 4*u**2 + 15*u - j*u + 12*u wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(50))**2 + (sqrt(88)\/sqrt(4))\/sqrt(11) - (4 + sqrt(72)*1)) + -3.\nAnswer: -5*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 3, r: 1}. Give prob of picking 3 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 51\/4, 31, 0.5, -5, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmi when three letters picked without replacement from {a: 2, c: 2, m: 3, i: 6, q: 4, j: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 9. Let g = i + -7. What is the smallest value in g, 5, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 m when four letters picked without replacement from {f: 2, m: 8, j: 3, b: 3}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 490\/17 + -3167\/68. Calculate the common denominator of 53\/2 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 222\/18 + 135\/81?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4760*b*q - 204*b - 1088614*q wrt b.\nAnswer: 4760*q - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in -3, 42126, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/3 + 73*w**3 - 56058*w**2 - 26393536*w\/3 + 4412928 = 0. What is w?\nAnswer: -208, 1\/2, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54036 is divided by 26952?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 1. Let s(r) = -r**3 - 6*r**2 - 2. What is 2*i(z) + s(z)?\nAnswer: z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -175\nAnswer: 72\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -82?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**24*q\/(q\/(q*(q\/(q*q\/((q**(-5)*q)\/q)))\/q)))\/((q\/(q*q**(-11\/3)*q)*q*q)\/(q\/(q\/q**(1\/17)))) assuming q is positive.\nAnswer: q**(683\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 95505, 92660, 89811, 86958?\n\"Answer: -2*r**2 - 2839*r + 98346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(2 - (-1 + 8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-64)\/4)\/(-64))\/((-2)\/(-56))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + u - 3*u**4 + 0*u**3 - u**2 - u + 2 to the form q*u**4 + l + a*u**2 + x*u + c*u**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6a265 (base 11) to base 3\nAnswer: -12011012010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*c - 2*x + 4, 6 = 2*x. Let j = -1 - c. Sort 4, j, -1.\nAnswer: j, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 6*z - 5. Let t be f(-2). Suppose -t*v + q + 1 = -3, 4*v = 3*q - 3. Suppose -j + 6*j + 175 = 2*c, c - 90 = v*j. Is c a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 10, 3, -71?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**2*z)**(-3)\/(z*z**4*z)**(-33))**(-18) assuming z is positive.\nAnswer: z**(-3348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 3*l + 3. Let k be a(-5). Let w(p) = -35*p - 33. Let d be w(k). Let c = d - -711. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2. Let w = 4 + -1. Let c(m) = m**2 - 2*m + 2. Let o be c(w). Let r(q) = -o + 2*q + 5. Give k(r(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688 is divided by 332.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5092.972 - -0.64\nAnswer: -5092.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 25.3. Is 0.1 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -10. Let c(z) be the second derivative of z**5\/20 + z**4 + 5*z**3\/3 - 2*z**2 - 37*z. Is 12 a factor of c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514213497?\nAnswer: 3, 7, 59, 19763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.4\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3*217\/126 + 12 + -6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(41\/(-50))*(-4)\/8?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vswwbswsywsdwwsvd. Give prob of picking 1 d, 2 v, and 1 y.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 51*a**2 - a + 4. Let m(j) = -102*j**2 + 3*j - 9. Determine -4*m(l) - 9*t(l).\nAnswer: -51*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2867)\/(-188) - 16)*7\/((-140)\/(-64))?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -15*m**3 + 4*m**2 + 4*m. Let o(z) = -14*z**3 + 3*z**2 + 3*z. Determine 4*o(x) - 3*p(x).\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2174842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + 0.3. Let h = -8\/13 + 82\/91. Which is the second smallest value? (a) m (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 11) to base 9.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-1)*107\/321?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/5 + 4097*q**2\/5.\nAnswer: q**2*(q + 4097)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * -0.04.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 154*-1*1. What is the highest common factor of i and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145880 divided by 29176\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**4 + 2 - 3761*i**2 + 3766*i**2 + 6*i**3 + 0*i + 10 + 3*i**3 - 2*i to b*i**3 + m*i**2 + t*i**4 + g + n*i and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slc when three letters picked without replacement from {l: 2, s: 3, c: 2, k: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 5*f**2 - 2*f - 20. Suppose -6 = -s + 5*o, -7*s + 3*s + 4*o - 8 = 0. Give z(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*r**4 - 59*r**3\/3 - 176*r**2\/3 = 0. Calculate r.\nAnswer: -1, 0, 176\/117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21190, -170421, -575470, -1364245, -2664654, -4604605?\nAnswer: -7312006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Suppose i = 3 - 1. Let z(o) = 23 - 3*o**2 - i*o**2 - 23. What is z(m(n))?\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5325*u + 28 = 5*z + 5322*u, 5*z - 5*u = 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.4988 to zero decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p - 3*y + 54, 5*y = -4*p - 21. Let x(j) = -2*j**2 - 17*j + 14. Let i be x(p). Solve -10 = -i*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a**2 + a + 16. What are the prime factors of p(-5)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 3*p**2 - 5*p + 6. Let s be (2 - 22)*(-2)\/2. Suppose 26*o = 21*o + s. Determine g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 16*l - 24. Determine n(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22\/3 + -7. Let c be (-4)\/2*-2 - (-1 - -5). Which is smaller: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (2 - (-1)\/1). Suppose -3*w = -7 - 8. Suppose 0 = -w*l - o*d + 31, l + 2*d - 5 = d. What is the remainder when 11 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 534137 + -534136.96. Let o = 1 + -4. Which is the smallest value? (a) x (b) o (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/2)\/(30\/(-80)). Suppose 0 = 2*q - 20. Solve i + 1 = 4*j + 6, -t*j + q = 2*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -12, 0, -64, 2, 5, -1 in increasing order.\nAnswer: -64, -12, -1, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**4\/24 - v**3\/6 - 25*v**2. Let a be 0 + 0 - 2*1. Let p(s) = -2. Determine a*p(t) + 2*b(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1139288)\/(-22) - -1) + 8\/44 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/118684942 or 1?\nAnswer: -3\/118684942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 21*n - 66*n - 15*n + 1 + 4 - 48*n. Let d(v) = 2*v**2. Give d(u(y)).\nAnswer: 23328*y**2 - 2160*y + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 1, -22, -89, 4 in decreasing order.\nAnswer: 4, 1, -22, -60, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-380)\/(-16) + 1*(-12)\/16. Suppose -m = -0*v - 4*v + 3*p, 1 = 3*v + p. Suppose 155 = v*r - 181. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35901434027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 4*q + 33, -90*j - 2*q + 22 = -88*j for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -695 by -48.\nAnswer: 695\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 20223?\nAnswer: 20224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*0\/113?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -38 + 638 + -667.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236587 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2) + 588\/(-294) - 2\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*f + 4, -o + 2 = -3*o - 4*f. Let r be 0*(o\/(-2) + 1). Solve 0 = -2*n + 3*g, 5*n + g - 6*g - 5 = r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -14. Let w = j - -3. Let u = 3 - w. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 669 + -3?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 18*r**3 - 1027*r**2 - 525*r + 33168. Calculate p(57).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2264022096?\nAnswer: 2, 3, 7, 809, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 20 - 10*n + 65 - 6*n**2 - 18.\nAnswer: -6*n**2 - 10*n + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -3\/10*w**6 - 13 - 6\/5*w**5 - 11\/6*w**4 - 4\/3*w**3 - 1\/2*w**2 - 2*w. Find u, given that o(u) = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5051*t**2 + 14*t + 4209. Let w(j) = -2526*j**2 - 6*j - 2108. Let c(b) = 7*w(b) + 3*x(b). What is the first derivative of c(o) wrt o?\nAnswer: -5058*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 132, 32, -53, 2, 4 in decreasing order.\nAnswer: 132, 32, 4, 2, 1, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Suppose 3*q + 0*q = -5*c + 29, 4*c - 3*q = 7. Let y(o) = -o + 0 - 1 - 7*o + c*o. What is -3*l(m) - y(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from kybebleyf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*f - 17*f**2 - 35*f + (-5*f + 3*f + 0*f)*(4 - 4 - 9*f) - 14 + 5*f**2 + 14 as b*f**2 + g + d*f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 6*b**2 - b - 4. Let v(g) = -g**2 - 6*g + 10. Let m be 5\/5 - 0\/(-2). Let f be m\/3*4*-6. Let s be v(f). Give c(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j + 59. Give b(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6)\/((-2)\/18). Let j(n) = 51*n - 1686. Let d be j(33). Let v = a + d. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let a(p) = 12*p + 10. Suppose 6*d = d + 20. Let l(x) = 0 - x - 5 + d. Let j(h) = a(h) + 10*l(h). Calculate f(j(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p = -13*p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k = -29*k - 2*z + 10, 2*k - 20 = -4*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2012*v - 234462 = 5410*v for v.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in -1, 365, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20102095 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*p - 20 = 0, 3*o - 1166*p = -1162*p + 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325405.9 months in millennia?\nAnswer: 193.783825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93291199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -10105\nAnswer: 6\/10105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - m - m + (6 - 2 - 2)*(2 - 2 - 3*m))*((-5*m - m + 3*m)*(-4 + 1 + 2) - 4*m + 5 - 5).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 29 + 19 = 0. Solve 12 = c + 4*h, -c - 3*h = -6*h + b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*o**2 + 4*o - 103*o**2 - 4*o.\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10771637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 669*l**2\/8 - 165*l - 9\/2.\nAnswer: 3*(l - 2)*(223*l + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19564, 19745, 19926, 20107, 20288?\nAnswer: 20469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -143.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 4 = 0, 4*u + 14 = 4*v + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2274 is divided by 361?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 221, 230, 265, 338, 461?\n\"Answer: 2*o**3 + o**2 - 8*o + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2934864 and 12816.\nAnswer: 2934864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, -290526, 2.\nAnswer: -290526, 2, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(147) + 0 - sqrt(147)) - (sqrt(147)*2 + -1))**2 + sqrt(147)*1*-3 + (sqrt(147) + -1)*4.\nAnswer: -21*sqrt(3) + 585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 3*h - 195. Let s = 3056 + -3132. Let j = h + s. Does 37 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.7116 nanoseconds to microseconds.\nAnswer: 0.0827116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110 and -4421.\nAnswer: 486310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/4 - 0\/(-1). Suppose -63 = r*g + 21. Let h = g + 63. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48131337*z**3 + 61931559*z**2?\nAnswer: -288788022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8781 is divided by 516?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3653?\nAnswer: 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -68. What is the nearest to z in 1\/2, -1, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -2 + -13 - (4 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhxhxxxxhxhhxxxxxx. Give prob of picking 1 x and 2 h.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v + 0 + 0*v**2 - 1\/3*v**3. Let c(x) = 5*x. Give c(o(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 - 2*n**4 - n**2 + (-2*n**2 - n**2 + 2*n**2)*(-2*n**2 + n**2 + 2*n**2) + (-7 + 7 - 4*n**3)*(-n + 2*n - 2*n).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d*w**2*y - 3*d*w**2 + 614*d*w*y**3 + w**2*y**3 + w**2 + 3*w*y**2 - 60*y**3 wrt d?\nAnswer: 2*w**2*y - 3*w**2 + 614*w*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 + -36. Let l be (2020\/(-75) - -5)*-6. Let n = l + m. Which is the second smallest value? (a) -0.5 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i**(-3))**(-34) assuming i is positive.\nAnswer: i**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**7\/i*i*i*i**3)\/(i\/i**(2\/7))**22)**(-22) assuming i is positive.\nAnswer: i**(726\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148645, -297274, -445879, -594448, -742969?\nAnswer: -891430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -4*w. Suppose w*z + 11 = -g, 0*z + 5*g + 29 = -2*z. Find the common denominator of -43\/26 and 47\/2*z\/7.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-4))\/((-6)\/(-36)). Let b = c - -16. Suppose 3*s - 2*d = 258, 6*s = b*s - d - 86. What is the remainder when s is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from iytfwwffywfff?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/3 - j\/3 - 2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28325243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 + 0) - (0 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5849733 and -0.2?\nAnswer: 1169946.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 34 (b) -9 (c) 2\/5 (d) -1\/11 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-20))\/(-3 + 2). Let f = 0.8 - 0.7. Let x be (-8)\/9 + 3 + -2. Which is the closest to s? (a) x (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {r: 4, x: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 417450341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -2*p - 18*o - 5*o + 44, 0 = -2*p - 4*o + 20 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5169194.98 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -252902 divided by 923?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k - 4, 2*k + 7 = -y. Let u be (-56)\/12*(-12)\/(-14). Put -1, y, u in descending order.\nAnswer: -1, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/4 - 2*n**3 - n**2\/4 + 21*n\/2.\nAnswer: -n*(n - 2)*(n + 3)*(n + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7492*j + 1858020. Calculate z(248).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 1:42 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in seconds?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1180534818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 1, g: 1, f: 1, b: 1}. What is prob of picking 1 g and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3693399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.294 + -3787.\nAnswer: -3755.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 8. Let c be (((-12)\/15)\/(-1))\/(2\/(-10)). List the prime factors of v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4612*c + 2305*c - 37 + 2308*c.\nAnswer: c - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 15*o**2 + 22*o - 52. Let p be k(-13). Solve p = -2*g + g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*h + q, -42 = 6*h - 10*h - 5*q. Solve 0 = 3*o - 5*o + l + 6, -5*o = -h*l - 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*a = -6*f - 12, 3*a + 12 = 0. Let p(r) = -6*r. What is p(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from nvnnnnnvn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 20 + 4*w**2 - 20 + 12*w + 5 - 6*w**2. What is j(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 1. Suppose -z - 2*z + 485 = -q*y, 4*z + 5*y - 595 = 0. Is z\/2 + (-5)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 0.1, 3, 0.4, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**8\/50400 - q**7\/12600 - q**6\/900 + q**5\/20 + 2*q**2. Let h(j) be the third derivative of v(j). Factor h(k).\nAnswer: 2*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 8*m + 5. Let k be z(-7). Let g(t) = -14*t + 1. What is the remainder when g(-1) is divided by k*-3*(-5)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 1 - 1)*(3*b**2 - 153*b**3 - 116*b**3 + 271*b**3).\nAnswer: -6*b**4 - 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -3, -5, 0.4.\nAnswer: -18, -5, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrztrrrz. Give prob of sequence trtz.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/7 and (3\/(-9))\/(12\/1062).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 8. Let f(t) = 4*t - 7. What is 3*d(r) - 2*f(r)?\nAnswer: 4*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 213 + 187 = 0. Suppose 0 = -8*c - 2*c + k. Suppose 5*l + c*l = 135. What is the greatest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggfgfg. Give prob of sequence fgg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, b: 5, q: 4}. What is prob of sequence bq?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 24\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**3\/3 - 5*p**2\/2 + 4*p + 21. Determine z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837916.\nAnswer: 2, 47, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 9 - 16)*(1 - 2*y - 1) in the form r + x*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 10848 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 10*m + 12. Let x be z(11). Calculate the smallest common multiple of x\/((10 + -4)\/18) and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1231011708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 16*l**2 + l - 12. Let b(s) = s**2 - 1. Let i(g) = -3*b(g) + p(g). Let f be i(13). Solve -3*r - r = f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/4 + 147488*x + 589956 = 0.\nAnswer: -4, 589956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**2\/7 - 25599*x - 5199120\/7 = 0.\nAnswer: -29, 59760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143840271?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f - 755 - 760 + 1566)*(-2 + 2 + 2)*(-11 - 9 + 18).\nAnswer: -48*f - 204","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.1. Let z = 0.2 + 0. Let l = 1\/98 - -193\/294. Which is the nearest to s? (a) z (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -17*d**2 + 54*d**2 - 12*d**2 - 16*d**2 - 10*d**2. Let g(w) = -70*w**2 - 3*w. Give g(p(a)).\nAnswer: -70*a**4 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15839.93 micrometers?\nAnswer: 0.01583993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-1)\/2)\/((-226)\/113)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*-2*sqrt(275) + 3*sqrt(22)\/sqrt(2) + sqrt(176) + -4)**2.\nAnswer: -376*sqrt(11) + 24315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17195 + 29271. List the prime factors of o.\nAnswer: 2, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - t**2 - 2*t - 6. Let h be p(0). Let y(f) = -f + 6. Determine y(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/10*(-340)\/136.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -185*o**2 + 3499585*o + 1135020.\nAnswer: -5*(o - 18917)*(37*o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29284 - -29289. Suppose 2*n = 3*n. What is the remainder when (n - -1)\/((-2)\/(-18)) is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1548 and -101\/1548.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.4, 587, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3932 in -106, -2\/15, 57.3?\nAnswer: 57.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1) + 3400\/(-884)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 99 = 15*u. What is the remainder when u is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42565 - 112718 + 22659 + q**2.\nAnswer: q**2 - 132624","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 114 - 48 = 0. Suppose 3*j - 6*j = -p. What is the smallest common multiple of j and 139?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688*l + 846*l + 843*l - 3.\nAnswer: l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r - 5*r + 0*r - 3*r**2)*(-7 + 7 + 21*r**2).\nAnswer: -63*r**4 + 147*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -770*y**6 + 8*y**5 - 24*y**4 + 120172*y**2.\nAnswer: -92400*y**3 + 480*y**2 - 576*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 3*h + 4. Let m be j(-5). Let b = m - -8. Suppose 2*r = b*w + 38, -4*w = -r - 8*w + 19. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116565*z**3 - 233081*z**3 + 116524*z**3.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**3 - 67*v**2 - 180*v**2 + 247*v**2.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2845, -25, 19, -1 in descending order.\nAnswer: 2845, 19, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35885*x + 37949*x - 45059*x - 75272*x.\nAnswer: -118267*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.5. Let v = -715\/2118 - -3\/706. Let c(b) = -b**3 + 4*b**2 - b - 1. Let p be c(4). What is the closest to l in p, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4\/4 + x**3 - 5*x**2\/4 + x\/2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (2 - 4) - -4. Let k be (-698)\/(-18) - (-6)\/27. Suppose k + 61 = l*z. Solve i + 4*i = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11215 (base 7) in base 12?\nAnswer: -179a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11947 and 943137?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22\/6)\/((-2)\/(-48)). Suppose -7*l - 15 = -92. What is the greatest common factor of l and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 at most as big as -1529953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -402\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -73, 3\/2, -8.9, 1\/4 in ascending order.\nAnswer: -73, -8.9, -2, 1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62867373 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11165850 rounded to the nearest 1000?\nAnswer: -11166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -589, -559, -529, -499, -469, -439?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49319706 divided by 6?\nAnswer: 8219951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) -1\/4 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 19604560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzbc when four letters picked without replacement from {z: 1, x: 3, c: 6, b: 1, h: 4, u: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(720) + sqrt(720) + -2 + -1)*-5)**2 - (-4 + (2*sqrt(45) - (1 + sqrt(180))**2)).\nAnswer: -57594*sqrt(5) + 1155785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - (7 - 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or 16?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 431779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-3)\/(-9)*-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23920, 47836, 71752, 95668, 119584, 143500?\n\"Answer: 23916*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 155276, 155277, 155278, 155279, 155280?\n\"Answer: b + 155275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382246*d - 382292*d + 764537*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, -24, 18, 5, 3 in increasing order.\nAnswer: -24, 2, 3, 5, 18, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7347 and 8295.\nAnswer: 257145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/243)\/(((-7)\/12)\/7).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13029 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3309*a**2 + 0*a**3 + 9*a**3 - 3309*a**2 - a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**6\/120 - 2*p**5\/15 + p**4\/24 + 11*p**3\/6 - 2*p**2. Let c be f(-8). Factor -2 + 6*d - 4*d**c + 0*d - 2*d + 2*d**4.\nAnswer: 2*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134720931223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -484\/45 - -98\/9. Let v = 30.13 + -43.16. Let s = -13 - v. Which is the third smallest value? (a) 3 (b) s (c) f (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463392 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 8*h**2 - 13*h - 6. Let s = 9 + -18. Let i be g(s). Suppose 2*l + 5*d = 34, 4*l - 5*d - 98 + i = 0. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 284*r - 975 + 2126 = -26113 for r.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/15*(-10)\/(0 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7032 and 8790?\nAnswer: 35160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.064 times 0.1?\nAnswer: 0.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2556, -5208, -7940, -10746, -13620?\nAnswer: -16556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, q: 1, a: 2, c: 1, s: 2}. What is prob of sequence uss?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 p, and 1 a when four letters picked without replacement from jjjbhjpjpkhhhapj?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -406113?\nAnswer: 406114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2924*l**2*m**3 + 4925*l**2*m**2*u + 2*l**2*m**2 + 4*l**2 + 105*l*m**3*u**3 + 3*l*m**2*u**3 wrt m?\nAnswer: -17544*l**2 + 630*l*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6*(-6)\/2142)\/((-20)\/35))\/1\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11218 - -11232) + (2 - 1 - 39).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (105*a - 12 - 106*a - 9)*(-25 - 27 - 23)*(0 + 1 + 0).\nAnswer: 75*a + 1575","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5133 and 6757.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94498 or 0.5?\nAnswer: 94498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*u**3 - 3725*u**2 - 4*u - 455150 wrt u?\nAnswer: 9*u**2 - 7450*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9601212?\nAnswer: 2, 3, 23, 43, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -2 + -51 + -21 + 67 + 121?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97299, -194543, -291787?\nAnswer: -389031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -20. Sort -1, r, 2, -4 in ascending order.\nAnswer: -4, r, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11824 + 11946.38. Let a = -103.3 + p. Let t = a + -22. What is t rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.1 to 0 dps.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9*h + 2. Suppose 2*u + 5*y + 6 = 0, -2*u + 4*y - 6 = -0. Calculate the remainder when b(u) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -675 and -213747\/316 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2728, -5614, -8498, -11380, -14260, -17138?\n\"Answer: g**2 - 2889*g + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 11*i + 4*i + 201 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 64*o - 739. Let z be t(-15). Sort -133, 16, z in ascending order.\nAnswer: -133, z, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 6*q**2 + 5*q**2 + 0*q**2 + 0*q**2 + 2*q**2 + (-2*q**2 + q**2 + 0*q**2)*(-5 + 4 + 2) + 5*q**2 - 2*q**2 - q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/56106 and 37\/18702.\nAnswer: 56106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2378 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 111100?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2. Let p(m) = 0*m**2 - 106 + 16*m**2 + 106. Give p(s(d)).\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**3 - 3*f**2 + 2*f - 2. Let b be 2\/2*2 + -2. Suppose b = 4*j + 4 - 12. Does 19 divide n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93*h + 106609 + 72*h - 106614)*(2 + 1 - 4)*(0 + 0 - h).\nAnswer: 165*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*o - 40 = 0. Let l = o - -13. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let o be (m\/(-4))\/((-9)\/(-12)). What is the closest to o in 0, 1\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 - -38?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 25. Solve d - 6 = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -277*2384\nAnswer: -660368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143)*-2*3)\/(sqrt(99)\/(sqrt(9) - sqrt(9)*4 - sqrt(9))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -29 - 15. Let f = c - -75. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**4\/v)*v)\/v**(2\/17)*v**(5\/2)*v**1)\/(v**(-3\/5)*v*v*(v**(-10)\/v)\/v)**27 assuming v is positive.\nAnswer: v**(49229\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 344534.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 4*h - 1. Let s(i) be the first derivative of 2*i**3\/3 - 5*i**2\/2 + i - 69. Calculate 4*m(o) + 3*s(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1225 + 673*m**2 + 2445 - 1219 - 4 + 4 + 2*m**2 + (4*m + 0*m - 5*m)*(3*m - 4*m - m).\nAnswer: 677*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02593368913 rounded to three dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-21) - ((-35)\/(-20))\/(-1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10403 - -4?\nAnswer: 10412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1903962, 3807924, 5711886, 7615848, 9519810?\n\"Answer: 1903962*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/12)\/((-40)\/45)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 5*q**2 + 6*q + 2. Let s = 52 - 56. What is n(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(660)*-1)\/(sqrt(12) - (-1*sqrt(108) + sqrt(108))\/sqrt(9)))\/((sqrt(10) - (sqrt(10) + sqrt(30)\/sqrt(12)))\/(sqrt(98)*1 + sqrt(98))))**2.\nAnswer: 77616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-14) + 6\/(5 - -1). What is the nearest to -0.1 in -2, 1\/7, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -35*o**3 - 9*o**2 - 2*o + 51. Determine k(2).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or 0.14?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 20. What is the closest to u in -2, -0.4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 648\/(-30) - 11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 2. Let v be w(7). Suppose -p + 4*p = v*n + 9, 2*n + 16 = -5*p. Let g be (-3*p\/3)\/(-2). Sort -3, g, 1 in ascending order.\nAnswer: -3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 - 32*b**2 + 3*b**2)*((0 + 0 + b)*(-4 - 1 + 6)*(-5 - 1 + 4) + b + 3 - 3 - 3 + 3 + 5*b) to c*b + y + u*b**2 + n*b**3 and give n.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + v**2 - v. Let j be g(1). Let r be 1*2\/(-1)*j. Suppose -12 = r*q + 2*q. Which is smaller: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/3 of a year?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 18. Let h be (-20 + 4)\/4 + 6. What is the remainder when h\/((-360)\/92 + 4) is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*h = -112*h - 3375. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -206 - -207. Solve 4*h - u - 7 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103354044 (base 6) to base 16.\nAnswer: 1c3bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/10)*p*p*(p\/(p\/(p\/(p**(2\/31)\/p)*p*p)))\/p assuming p is positive.\nAnswer: p**(1623\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -1 - (5 + -10 - 191). Find the third derivative of 26*o**2 + 74*o**4 - m*o**2 + 112*o**4 wrt o.\nAnswer: 4464*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 308506, 1233969, 2776414, 4935841, 7712250, 11105641?\n\"Answer: 308491*w**2 - 10*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - a**2 + 5*a**2 - a**2 + 3. Let q(i) = 2*i**2 + 2. Let k(w) = 3*d(w) - 4*q(w). Let m = -6 + 10. What is k(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, -0.2, 1\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5\/4 + 11637*i**4\/4 - 2910*i**3.\nAnswer: 3*i**3*(i - 1)*(i + 3880)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0043638499 to 4 decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6837813?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 13*u + 15. Let d = 77 - 22. Calculate the highest common divisor of d and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 21*c**2 + 32*c + 31. What is the tens digit of i(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101.05 - -101. Which is the nearest to n? (a) -5\/3 (b) -0.1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + f**2 + 2*f**2)*(-2603 - 913 - 4132).\nAnswer: 7648*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a milligram in micrograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*(-96)\/216.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -0.28. Which is the second smallest value? (a) -3 (b) 7\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 3*u + 6. Let r(d) = 6*d**2 + 13*d - 30. Let o(f) = -11*h(f) - 2*r(f). Let l be o(3). Solve 8 - 2 = l*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/(g*g\/g**13*g)*g)\/(g\/(g*(g**(-3)*g)\/g)))\/(((g**(1\/9)\/g*g)\/g)\/(g\/(g*g\/g**(-13)*g)*g)) assuming g is positive.\nAnswer: g**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(2*1\/(-2)). Let h be (-551)\/(-114) - 2*(-4)\/48. Suppose 26 = 2*w + 2*w + 2*t, 4*w + h*t - 41 = 0. Solve n*s + w*s = -20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n = 34*n - 17*q + 68, -5*q = -5*n - 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 7*j - 1. Suppose -3*f + 18 = 3*d, 5*f + 6*d = 2*d + 31. Give p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**4\/24 - 5*x**3\/6 - 3*x**2. Let q be 8 + (0 - 2\/2). Let z be r(q). Solve -z*p + p - n = 3, -n + 7 = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2813, 5626, 8439, 11252?\nAnswer: 14065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/5))**(-6) assuming f is positive.\nAnswer: f**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, f: 11}. Give prob of picking 4 f.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -14*t - 197 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 45*b**2 - 1215*b - 27499. Calculate h(-23).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(119) - (sqrt(119) - (sqrt(119)*1 - sqrt(119))) - sqrt(119))*4)\/((sqrt(105)\/sqrt(3))\/sqrt(5) - -2*sqrt(700)).\nAnswer: -20*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 5*f**2 - 5*f**2)*(8*f - 10 + 10) - 6*f**3 + 12*f**3 - 16*f**3.\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -49*c - 14. Is w(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3092.464 from 0.07.\nAnswer: 3092.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2. Let c(n) = -416*n. Calculate k(c(z)).\nAnswer: 173056*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 9:42 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 52*l + 53*l + 410 = 0, 4*x = -5*l + 398. What is the greatest common factor of 11526 and x?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -479 + 483. Let a(z) = 40*z + 549. Let m be a(-13). Sort m, -5, g in decreasing order.\nAnswer: m, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0425056454 rounded to 6 decimal places?\nAnswer: 0.042506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 9*p**2 + 7*p + 8. Let c be b(8). Suppose -g - 22 = -d - c*g, -5*d - g = -116. What is the remainder when 32 is divided by d\/3 - 14\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -1\/2*s**2 + 0*s + 0*s**3 + 1\/2*s**4 - 1. Let z(u) = -u**3 + 13*u**2 - u + 12. Let p be z(13). Determine h(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ad35c (base 16) in base 8?\nAnswer: 6551534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*y**2*z**4 + 68652*y**2*z**2 + 2*y**2*z - 1001645*y*z wrt z?\nAnswer: 252*y**2*z**2 + 137304*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 14. Let a = 13 + z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 18. Let t(d) = 4. Let w(i) = 1. Let n(p) = t(p) - 5*w(p). Let u(a) = 6*n(a) - q(a). Factor u(m).\nAnswer: -3*(m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/3377 + -216068\/50655. Let r = y + 14\/3. Determine o, given that 0 - 2\/5*o**2 + r*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249 divided by 53.\nAnswer: -249\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 44 = -3*i. Let f be i\/(-8) - 3\/6. Let p(u) = -u**2 - 3*u - 1. Let v(d) = -2*d**2 - 5*d - 2. Determine f*v(g) + 10*p(g).\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3591335 and 184?\nAnswer: 28730680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-148)*(16 + 1836\/(-119)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j**3 - j**2 + j - 2. Let n be h(3). Let b = n - -189. Suppose -2*m + 3*l = -b, -130 = -3*m - 4*l + 3. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 33 - 7 = 5*k, 5*d + 14 = -3*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16248175 is divided by 780.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/6 + 661093*g**2\/6 + 3966527*g\/6 + 3305435\/6 = 0.\nAnswer: -661087, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 7 = -v + 2*l, -3*v = 7*l - 56 - 0 - 29 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/8 + (-945)\/(-216). Solve -2*q - 12 = 3*j, -2*j - 7 - 1 = -r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 105381258 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 389816.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**4\/4 + c**3\/3 + c**2\/2 - c + 3323. Let l(m) = 60*m**3 + 15*m**2 + 15*m - 15. Determine -l(z) + 15*y(z).\nAnswer: -45*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 256 = -6*o. Let d = 7 + o. List the prime factors of 1 - 0 - -91 - (d - 40).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - -2516?\nAnswer: 2540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -823 at least as big as -459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzqb when four letters picked without replacement from {z: 1, q: 3, m: 3, b: 7}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5685 = 54*v + 2577. Which is smaller: -151 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 17*w)*(-3 + 4 - 3)*(-w + 2*w + 0*w).\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 368474, 365995, 363516, 361037, 358558?\n\"Answer: -2479*l + 370953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7624427 meters to centimeters.\nAnswer: 76.24427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3\/35015, -0.39?\nAnswer: 3\/35015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*(-64)\/(-72)*606\/(-505).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in four fifths of a meter?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 102\/(-30) + (0 - -3). Let u = 0.4 - -0.1. Which is the closest to 0? (a) u (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.34613 - 31706\nAnswer: -31705.65387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -192 + 11888c?\nAnswer: 1186ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u - 280 = -33*u. Suppose 15 - 32 = -v - 4*m, -5*m + u = 4*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from rrrrrrrrrrrrrrrrfrr?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985*s**3 + 3 - 3.\nAnswer: -985*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - -4 - (78 - -1). Let f = -1617 + 29089\/18. What is the common denominator of (-2 - 357\/m) + 1 and f?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -2 + 5 - 3. Let g(m) = -2*m**2 - 5*m + 14. Let d be g(-4). Is -2 - ((d - b) + -104) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64751, -260055, -585909, -1042313?\nAnswer: -1629267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 23*q**2 + 8*q + 233. Is c(30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -0.013, 0.1 in increasing order.\nAnswer: -21, -0.013, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 382220 and 491614?\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrppprmpmmmpm. Give prob of picking 2 m and 1 p.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -8*o**4 + 7*o**3 + 41*o**2 - 5*o - 5. Let a(l) = 8*l**4 - 8*l**3 - 40*l**2 + 4*l + 4. Let h(n) = 5*a(n) + 4*v(n). Factor h(s).\nAnswer: 4*s**2*(s - 3)*(2*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 498 - -366. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 19. Suppose r = q, -5*s + 4*s - 2*r + 60 = 0. Is s a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9 - 6 = 0. Let k(r) = 4*r + 1. Let f be k(x). Suppose -5 = 2*d - f. Solve 3*v = -d + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1754 divided by -1\nAnswer: -1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211020211 - 1021121001?\nAnswer: -10002211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(-1)\/(-4)*(-4 - -250) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12870 is divided by 2555.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 + 156. Calculate the remainder when 134 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 5. Let d be t(4). Suppose d*q - 10*q = -60. Calculate the least common multiple of q and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1685.0833, 2\/5 in descending order.\nAnswer: 2\/5, -11, -1685.0833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381*v - 26*v + 470*v - 37*v - 24*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 - 58. Let c = 106 - t. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 23*m - 37. Let r be b(22). Let g be (((-12)\/r)\/(-1))\/((-1)\/5). Solve -o = 1 - g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6982 and 10913 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2720355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:39 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l = -64*l - 6. Suppose l*y - 79 = -5*c - 0*y, -5*y = c - 25. Suppose c = 3*m - 81. Calculate the highest common factor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -418, 42, -19, -5, 3, 2.\nAnswer: -418, -19, -5, -1, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654*r - 868148 = -730*r. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002981925 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.12.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/6 - 4*t**2 - 2*t. Let q be l(6). Is 7 - (0 - q) - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w + 11658 = -65*w + 1224. Which is greater: w or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11833478 + -90569.\nAnswer: -90568.88166522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1360 and -99\/50113760?\nAnswer: 851933920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/3*(-60 + 55).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*-53.\nAnswer: 9.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, f: 6}. What is prob of picking 2 f?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccni when four letters picked without replacement from xiicn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12558 is divided by 180.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.7.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 1, g: 7, t: 1, z: 3}. What is prob of picking 1 t, 1 g, and 2 c?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*w**3 - 48*w - 44*w**3 - 18*w**3 - 3 - 30*w to the form t*w**2 + q*w**3 + y + d*w and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5742, 5, 0, -23 in decreasing order.\nAnswer: 5, 0, -23, -5742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 2. Let v be z(-5). What is the derivative of 15 - 17 + v*t + 4 + 5*t wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 4) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -452.3, 711.8, -1\/2 in ascending order.\nAnswer: -452.3, -1\/2, 711.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 24*u**2 + 2*u + 50. Calculate o(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-956*m - 2571*m - 486*m)*(4 - 2 - 3) in the form h*m + r and give h.\nAnswer: 4013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14588075 is divided by 4215.\nAnswer: 4175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/56)\/((36\/7)\/3)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (49 - 18) + (-12 - -3) + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35132, 5, -2.42, 0.2 in decreasing order.\nAnswer: 35132, 5, 0.2, -2.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/141843 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - -0.44. Let x = m - 1.5. Suppose 3*s - 5*p = -s + 10, 8 = -2*s - 4*p. Which is the nearest to x? (a) s (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142124 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*s + 35*s - 15*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 8:15 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgp when three letters picked without replacement from {g: 1, m: 6, p: 11}.\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 7. Let t = 16 - o. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1381, -1345, -1309, -1273, -1237?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let o(t) = -1. Let p(a) = -k(a) - o(a). Let g(i) = 2*i**2 - 12*i - 12. Let z = -33 - -32. Calculate z*g(d) - 12*p(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2*((0 - 2) + 4). Solve -v + m = 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -163*t**2 + 630*t**2 - 210*t**2 - 211*t**2. Let v(b) = -2*b. Give v(f(m)).\nAnswer: -92*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.1079 (c) 2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*l + 33*l - 7 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**4\/2 + 3*m**2\/2 - 1096. Let z(b) = -12*b**3 - 17*b. Determine 34*x(o) + 6*z(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + (sqrt(245) - 1*sqrt(245))))**2 - (-4 + (sqrt(45) + (sqrt(405) + -1*sqrt(405))\/sqrt(9))**2).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300 (base 4) to base 11.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/12)\/((-3)\/8). Suppose 3*j = -5*m + 4*m + 3, 2*j + m - 1 = 0. Suppose -r = 1 + j. Which is the biggest value? (a) 5 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(4752) - (sqrt(4752) + sqrt(4752) + sqrt(4752) + sqrt(4752)*3))*5)\/((-1*sqrt(88)*3 + sqrt(88))\/(2*sqrt(8)*-2 + sqrt(8))).\nAnswer: -900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)\/(0 - -1). Let y(s) = s - 1. Let p(t) = t**3 - 11*t**2 + 11*t - 4. Let n be p(10). Let j be y(n). Put j, r, -4 in descending order.\nAnswer: j, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254965638.\nAnswer: 2, 19, 59341201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, 27, -5, 12, 216.\nAnswer: -5, -2, -1, 5, 12, 27, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -467, -493, -533, -593, -679?\n\"Answer: -i**3 - i**2 - 16*i - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, 0.06, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13171967 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + n - 2. Let k(v) = -v. Let i be k(-2). Let o be g(i). Find the third derivative of -2*l**3 + 2*l**3 + 7*l**o - l**2 - 8*l**4 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 10710.8.\nAnswer: -53554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q - 50*q = 0. Which is smaller: q or -4\/19?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(3 - 3 - 2*j)*(645*j + 664*j + 671*j).\nAnswer: -3960*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 36 = c. Solve 3*a = 7*a + c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((12 - 25) + 31)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-7)\/u**(6\/11))\/(u**12*u**(-2\/19)\/u))**(2\/21))**(-2\/11) assuming u is positive.\nAnswer: u**(15416\/48279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = 2*g, -2*x + g = -g. Let j(o) = 2*o**3 - 4*o**2 - 10*o + 8. Let l be j(x). Is 34 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3794 - -8494. Let j = -6754 + m. Let g = 3937 + j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*r**3 - 5*r + 3 + 6*r - 120*r**3 - r**2 - 2 in the form d*r**3 + f*r**2 + q*r + y and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o - 15*o**2 + 7*o**2 + 6*o**2)*(0*o**2 - o**2 + 4*o**2).\nAnswer: -6*o**4 - 18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13400 (base 5) in base 10?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7869917*q*t**2 - 56739*q*t + 131*t wrt t.\nAnswer: 15739834*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7343, -2, -11, 21 in ascending order.\nAnswer: -7343, -11, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1625*k - k**3 + 1625*k - 4870*k + 5*k**3 + 600 + 1624*k.\nAnswer: 4*k**3 + 4*k + 600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 369.0253 to 0 decimal places.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 2. Suppose 181 = -222*b + 229 + 396. Solve -b*w + 2 + 0 = 2*q, 0 = 4*w - k*q - 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-2)\/2)*-8. Let t be ((-12)\/(-16))\/(2\/s). What is the tens digit of (-6)\/t*102\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 6*k**2 + 192*k - 348. Give g(-18).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 34*g - 6.\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*o + 7*o. Calculate the lowest common multiple of 288 and o.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.542 times 0.2?\nAnswer: -0.1084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*o**3 - 10*o**2 - 21*o - 3?\nAnswer: 126*o - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 - 3. Let h(b) = 4*b**2 - 2. Let j = -7 - -4. Let l(o) = j*h(o) + 2*u(o). Let m(x) = 2*x. Calculate m(l(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 881 = -9. Suppose -116*m + v*m - 28 = 0. Sort -1, m, 3, 5.\nAnswer: m, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**4\/6 + 3*o**2 - o. What is the derivative of y(l) wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, 48, -2, 1, 3 in decreasing order.\nAnswer: 48, 11, 5, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -9881.2896777?\nAnswer: 9885.2896777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 51 - 49)*(329 + 4*s - s - 377) in the form i*s + k and give k.\nAnswer: 5760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.5651 + -2.55. Round z to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b**2 + 826*b + 60. Calculate h(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1218\/378 + (-2)\/9. Let m be ((-26)\/136)\/(4\/(-24)). Let g = m - -6\/17. Are g and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - 0.198.\nAnswer: -0.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2689080571697\/97787401820 + -2\/72975673. Let u = -8309341\/1340 - -6201. Let x = u + p. Calculate the common denominator of x and 131\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 17*d + 15. Let c be m(9). Let b(s) = s**2 - 4*s + 5. Calculate the remainder when (-70 + 4)\/(36\/(-24)) is divided by b(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1927 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 21 = 13. Let y = 19 + c. Solve r + y*m + 10 = 5*m, -3*r + 25 = 2*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*7 + (-4)\/(-1 + -1). Solve -4*f - f - 4*b = -c, 2*f - 22 = 3*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6)*(-16)\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-6)\/5)*-1. Let s = 2 - 2. What is the second biggest value in w, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 7:38 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 12) in base 16?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 3. Let i(g) = 23*g - 24*g + g**2 + 17 - 17. Let b(o) = 3*o**2 - 2*o. Let u(w) = 2*b(w) - 4*i(w). Calculate z(u(h)).\nAnswer: -2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338440 divided by -67688.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180956 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 11*j**2 - 2*j + 15. Let g be r(-5). Let m(s) = 5*s + 719. Is m(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -643 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354924237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 238603 + 365165 + 3*z.\nAnswer: -3*z + 603768","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + ((-4 - 2 - -6) + -11 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 441199905 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 212 - 832. Suppose -4*h + 447 = 3*w, 2*w + 4*h = 2*h + 296. What is the highest common factor of c and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 331*t**2 - 332*t**2 - 149*t - 5 + 8 as i + j*t + h*t**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665335740.\nAnswer: 2, 3, 5, 251, 44179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58259928, 58259926, 58259924, 58259922, 58259920, 58259918?\n\"Answer: -2*y + 58259930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2387, -19114, -64531, -152984, -298819?\nAnswer: -516382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 2. Let t(p) = -2*p - 2. Let n(o) = 6*t(o) - 5*v(o). Let h(d) be the third derivative of d**4\/24 - d**3\/6 - 413*d**2. Determine 4*h(y) - n(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -2b7a7?\nAnswer: -2b7aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*y - 3179479 + 3158549 = 0 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 130. Calculate the highest common factor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j - 8. Let l(h) = h**2 + 17*h - 23. Give -6*l(x) + 17*t(x).\nAnswer: -6*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + -2*sqrt(132))\/sqrt(3) + sqrt(44) + sqrt(44))\/sqrt(4).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 210200102 (base 3) to base 13\nAnswer: 726b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1014 + 1027. Calculate the remainder when 32 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8865289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009343.7 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d - 25 = 0. Solve 2*i - 6 = m, -d*m + 3*i + 0 - 9 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7359 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(6\/62) + 1 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-100)\/16 - 2\/(-8). Let t be -4 + 9 + 2 + f. Suppose t = b - 30. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-1 + 5 - (3 + sqrt(7)*-2))**2.\nAnswer: 4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5070 + -106441\/21. What is the common denominator of -17\/24 and h?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618 = -15*u + 1603 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9599*l**3 + 19191*l**3 - 9590*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from {f: 2, u: 1, j: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5 + 147*f**4 + 1680*f**3 + 5100*f**2 = 0. What is f?\nAnswer: -34, -10, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x - 21. Determine t(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2 = z - 1, 2*c + 4*z + 2 = 0. What is the units digit of 1 + 1 + c - -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52156805 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -19*y - 209. Determine c(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132 = 113*c + 902 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 15*q**3 + 52 - 117.\nAnswer: -15*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 25 = 0, -36 = 3*x - 4*x + 5*d. What is the least common multiple of 3\/(-6) - x\/(-2) and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1584) + sqrt(1584) + sqrt(11)*-1*6.\nAnswer: -1 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4008\/(-2)*10\/(-3). Suppose -2*q = 3*q + 3*c + 523, 0 = -4*q - 4*c - 412. Let b = n - q. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) 1\/61 (c) 5 (d) 8\/7 (e) -4 (f) -0.2 (g) 1\/131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*m - m**2 + m**4 - 28*m + 2 + 2 as f*m**4 + i + l*m**3 + v*m**2 + k*m and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -726638.3795 - -0.2?\nAnswer: -726638.1795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 16*u + 12. Let b(h) = -h + 11. Let c(n) = -n + 9. Let s(y) = -5*b(y) + 6*c(y). What is -p(i) - 12*s(i)?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62451 + 221?\nAnswer: -62230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b33 (base 15) in base 16?\nAnswer: -cf9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0.4, 3\/4, 0.5, 0.09, 2\/3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/1227 - -2433125\/4908. Let p = m + -521. What is the common denominator of p and -81\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = 2*l. Suppose -2*i - 2*i = 0. Let y = i + l. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(0*w + 4*w + 0*w)*(w + 0 + 0).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/81 - ((-2)\/(-19) - 14500\/22230). Let h*g**2 + 2\/13*g + 0 = 0. Calculate g.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 3*v = -6*d + 4, -5*d + 21*v - 16*v = 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 14. Find the second derivative of j*r**5 - r + 4*r - 10*r wrt r.\nAnswer: 220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 7 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01379567 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2304 is divided by 373?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-2))\/(5\/100))\/((-56)\/(-28)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/((-4)\/(-10)). Suppose a*m - 8 = 7*m. Does 6 divide (-21)\/(-3) + m + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -127*a*s - 1369596*a + 171211*s + 346 wrt a.\nAnswer: -127*s - 1369596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98.4 + 0.09.\nAnswer: -98.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/67)*r\/((r\/(r\/(r*r**(-6\/7)*r*r)*r))\/r) assuming r is positive.\nAnswer: r**(416\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9036421.37 minus 2?\nAnswer: 9036419.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5742294 and 6498?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 3*c - 43. List the prime factors of w(13).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48913 = -696*c - 136609 for c.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 12. Let s = 10 + h. Round s to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -149267, -149265, -149261, -149255, -149247, -149237?\nAnswer: -149225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1445\/(-238) + 3*(-4)\/(-2)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:44 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.07. Let f = j - 0.47. What is the closest to -4 in 0.4, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*n - v - 7, -5*v = 2*n - 1. Suppose 4*j = 2*x - 674, -n*x - 9*j + 956 = -4*j. What is the common denominator of 107\/22 and (-3)\/9 - x\/(-18)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-52)\/25)\/(196\/6370). Let h = 339\/5 + r. What is the closest to 3 in -0.5, h, 0, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-1)*b\/(b\/(b\/b**(2\/23))) assuming b is positive.\nAnswer: b**(67\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21.9094 and -0.2.\nAnswer: -22.1094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 17, -27, -119, -277?\n\"Answer: -3*l**3 + 3*l**2 - 2*l + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -27*v**2 + 2487*v + 4786. What is f(94)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -3*f**5\/20 - f**4\/3 - f**3\/2 - 5*f. What are the prime factors of i(-2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-4)*12\/10. Suppose -8 = -0*l - 4*l - 4*o, i*l - 6 = 4*o. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 304*g**3 + 2*g**2 - 1. Suppose f = 4*l + 7, l = 2*l. Let b = 8 - f. Is v(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - q + 91 = 0, 4*j + 12 = -4*q - 56. Let t be 16\/j - (-10)\/15. Let x be (-19)\/35 - (-4)\/28. Put x, 0.5, t in decreasing order.\nAnswer: 0.5, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -320, -332, -342, -350, -356, -360, -362?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 13258, 35083, 65636, 104917, 152926, 209663?\nAnswer: 275128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.2 - -17.2. What is the nearest to 1 in 2, z, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**5 + 1110*i**4 - 102672*i**3 - 1110*i**2 + 102675*i = 0.\nAnswer: -1, 0, 1, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + -2*sqrt(143))*-1)\/sqrt(11).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3*u**(-7)*(u**(-1\/3)*u)**47 assuming u is positive.\nAnswer: u**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + 22\/66.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 1. Let s(c) = -c - 17. Let t(n) = -6*j(n) - s(n). Let b(f) = -f + 2. Let u be -2 + 2 + 46 + 4. Suppose -5 = 5*l + u. What is l*b(i) + 2*t(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 47?\nAnswer: 32\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8306?\nAnswer: 2, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38.7 + -38.5. What is the closest to 0.1 in q, 10, 1\/6, 2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/237 smaller than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 11. Let k be u(-11). Suppose -f = 14 - k. Let o = 26 + f. What is the greatest common factor of o and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {b: 2, k: 1, t: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(12\/11)\/o**(-15)*(o*o*o*o**(-19))\/(o*o**(2\/7)*o))**46 assuming o is positive.\nAnswer: o**(-7774\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883712.3t to kilograms.\nAnswer: 883712300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 31128*x - 45887040.\nAnswer: 2*(x - 16920)*(x + 1356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -300 + 301. Let t(o) = o**2 + 1. Let q(s) = 5*s**2 - 7*s - 3. Let h(d) = q(d) - 6*t(d). Let z be h(-6). What is the closest to j in 2, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*h + 80*h + 90*h + 83*h + 100*h + 91*h - 522*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -5, 4\/11, -3\/28?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, -3, -22, -39, -48, -43, -18?\n\"Answer: s**3 - 8*s**2 + 2*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1582030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -478 + -31?\nAnswer: -4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -238de (base 16) to base 13\nAnswer: -51394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1559 - 264 + 357)*(-1 - 2*o**3 + 1) as k + a*o**3 + y*o + u*o**2 and give a.\nAnswer: -3304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 121.7.\nAnswer: -124.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -454123, -908229, -1362339, -1816453, -2270571?\n\"Answer: -2*r**2 - 454100*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*s, 27 = f + 2*s - 7*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2901095.\nAnswer: 5, 580219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u**2 - 8*u - 2. Let j be t(-3). Suppose -3*z = -j*z + 5. Suppose 2*a - 11 = z. Solve 3*p + a = -5*w, 2 - 22 = 2*w - 3*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a, 0 = -2*y + 4*a. Let f be -172000 + (0 + y)\/(-2). What is f rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + sqrt(1100)*1 + -4)**2 - (sqrt(1100) + -6*(sqrt(1100)*3 - sqrt(1100)) - (sqrt(1100) + 5*sqrt(1100)*-2 + sqrt(1100) + sqrt(1100)))**2.\nAnswer: -16379 - 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.1 (b) -0.4 (c) 4\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*y - 0*y. What are the prime factors of (3\/(-5))\/(y\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**2 + 6*m - 6*m + (1 + 2 - 2)*(2*m**2 + 0*m**2 - m**2) + 0*m + 0*m + m**2 + 5*m - 3*m**2 - 5*m - 2*m**2 + 3*m**2 - 4*m**2.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18703*v**2 - 3046. Let u(a) = a. Determine u(p(y)).\nAnswer: -18703*y**2 - 3046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6221, 11556, 16891, 22226?\n\"Answer: 5335*y + 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62050)\/(-1460)*(-12)\/(-102))\/(((-130)\/3)\/(-2)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 1150, -9655 in descending order.\nAnswer: 1150, 1, -2, -9655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/22356 - 305617\/1900260. Calculate the common denominator of k and 28\/75.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/16)*q)\/(q\/(q*q*q**(6\/19)*q)))\/(q**(-7))**(-28) assuming q is positive.\nAnswer: q**(-58557\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 4*g**2 - 5*g + 4. Let u be h(-5). What is the first derivative of u - w**4 - 2*w**4 + 6*w**4 wrt w?\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5958627.54 + -2.\nAnswer: -5958629.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 11*o = 0. Suppose z = -r + 42, 2*z - 64 = -2*r + 5*r. Suppose o*a + a - z = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 4*n - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmm. Give prob of picking 3 m.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1032.5 and 1454?\nAnswer: 421.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -206365 * 25\nAnswer: -5159125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46116 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67994 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((17850\/225)\/119)\/((-10)\/111)\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76409.\nAnswer: 109, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.241 - -7.141. Which is the fourth biggest value? (a) 1 (b) n (c) 178 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40282 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1243 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1337, -1346, -1359, -1376, -1397?\n\"Answer: -2*i**2 - 3*i - 1332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*r + 384*r - 52*r)*(3 + 2 - 4) + (3 + 4 + 7)*(r + 3*r - 3*r) as o*r + i and give o.\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 860494669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-85.1605\nAnswer: 25.54815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 51 - 30)*(1 + 2*s - 1 + (-4*s + 0*s + 2*s)*(1 - 2 - 1) + 3*s - 5*s - s + (0 + 4 - 5)*(0 + 1 + 0)*(4*s + 0*s - 2*s)).\nAnswer: 69*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -17) + 0 + (-44 - -38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/26 - (-13181)\/97916.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8056311 by -93.\nAnswer: 86627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194489 is divided by 231.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 20*i**2 - 13*i - 64. Let k be u(-19). Let y = k + 186. Calculate the highest common divisor of 20 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 692330 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2341 = -3*r, -5*b = 3*r + 1375 - 3761. What are the prime factors of r?\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 423 - 1638 = 0. Let y = -63 + m. Suppose -6*z = -3*l - 2*z + 77, -4*z = 4*l - 112. Calculate the smallest common multiple of y and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -814 - -999. What is the greatest common divisor of j and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -144654, -144653, -144650, -144645, -144638, -144629, -144618?\n\"Answer: n**2 - 2*n - 144653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 629958.2 millilitres in litres?\nAnswer: 629.9582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iimiimiiii. What is prob of picking 2 m?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41267*r*y**3 - 3*r*y**2 - 1278671*r*y - 4*r - y**3 + 46*y**2 - y + 2 wrt y?\nAnswer: -247602*r*y - 6*r - 6*y + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93.4 - 101.262. Let b = -0.138 + h. Put b, 0, -1\/2 in descending order.\nAnswer: 0, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 194 + 6*x + 97 + 7*x**2 - 6*x.\nAnswer: 7*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p - 2. Let h(t) = t**2 - 1. Let z(w) = 4*h(w) - 3*j(w). Determine x so that z(x) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/33, 8, 6, 0.4, -29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1. Let q(y) = -3 - y + 5 + 1 - 7. Let b(p) = 4*c(p) + q(p). Let d(o) = -6*o. Calculate d(b(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.45444 years to centuries.\nAnswer: 0.2445444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + (-52 - -1) + 19.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 822104100 rounded to the nearest 1000000?\nAnswer: 822000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssszswwssuzus. Give prob of sequence ssu.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*((-58)\/12 + 5). Which is the nearest to -1\/3? (a) m (b) -0.9 (c) -2\/11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -2*k + 5*h - 14, -5*k - 2*h = -26. Solve k*z = -19 + 49 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*t - 327*t + 648*t - 322 + 322.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**7\/1680 - u**6\/720 - u**5\/240 + u**4\/48 - u**3\/6 + 3*u. Let d(f) be the second derivative of l(f). Factor d(j).\nAnswer: (j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 226019.4ml?\nAnswer: 226.0194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 16. Let u be o(6). Let a(b) = -4*b + 210. Does 10 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*a - 9, -28*b + 27*b + 3 = 3*a. Suppose 0*y = 2*y - 4. Let u be 0*2\/(-4) - -9. Solve -k = -y*w - 0*w - 6, 3*k - a*w = u for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 19*x**4\/4 + 8*x - 49. Find the first derivative of v(h) wrt h.\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -183 - -215. Which is the closest to -0.1? (a) t (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942 a factor of 1560894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d**2 + 2*d + 1. Let n(s) = s**3 + 41*s**2 - 92*s + 54. Let m(o) = n(o) + 6*w(o). Factor m(x).\nAnswer: -5*(x - 3)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3939 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 difference between 170 and -2?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + q + 1. Let l(v) = v**3 + 3 + 6*v**3 + 6*v**2 + 4*v + v**3. Suppose 16*o + 0 = -16. Let c(w) = o*l(w) + 4*h(w). What is c(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2770704 by 271.\nAnswer: 10224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1090 is divided by 149.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4051131 + 22?\nAnswer: -4051106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89.66 + 92. Let v = 0.031 - 2.331. Let c = v + q. Put -3\/2, c, 1 in ascending order.\nAnswer: -3\/2, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2461925 to the nearest integer?\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - (sqrt(64)*-1*5 + sqrt(64)))\/sqrt(4))\/(((sqrt(96)*-1 + sqrt(96))*1 + sqrt(96))\/sqrt(12)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h*l*t*x + h*l*t - 8*h*l*x - 22*h*l - 3*h + 15*l*t*x - 2*t wrt x?\nAnswer: -h*l*t - 8*h*l + 15*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64300 is divided by 12860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148609, 148497, 148379, 148255?\nAnswer: 148125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1305156 by -732.\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36221059 - 869510179\/24. Let l = a + 8526. Find the common denominator of -37\/30 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -0*i - 4*i - 14, i = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 0*g. Suppose g = y - 0 - 6. What is the lowest common multiple of y and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (684\/(-190))\/(4\/(-310)). Let h = q - 204. What is the highest common divisor of h and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 7*j**2 + 6*j + 3. Suppose 13 = -4*q - 11. What is the lowest common multiple of 11 and g(q)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b + 22. Suppose v + 8 + 1 = 0. Is 10 a factor of l(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2329*o**2 - 2328*o**2 - 2325*o**2 + 6981*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 o, and 1 s when four letters picked without replacement from {e: 2, y: 4, p: 7, s: 1, o: 4}.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01328503 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 474.1 to the nearest ten.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 + 169. Suppose -5*g - o - 45 = 0, -6*g + g - q = 2*o. Let r be 24\/g*-12*36250\/(-4). What is r rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -360387?\nAnswer: -360387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 93304.22 tonnes?\nAnswer: 93304220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 841273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 25*l**2 - 10*l - 8. Calculate z(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242042079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62928965 to the nearest integer?\nAnswer: 7933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwwwwwyzywwcwjm. Give prob of picking 1 y and 1 m.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4614 + 19 + 2029 - 7089 - 7*s - 200*s**4 wrt s?\nAnswer: -800*s**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-7) - (-3)\/(-3). What is the closest to -0.1 in -3, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:47 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 3*z - 4*z)*(-3 + 3 - z) + z**2 + 3*z - 3*z - 3*z**2 + 3 - 3 to the form n + b*z**2 + q*z and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.114321 to 2 dps.\nAnswer: 48.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.66397 and -247?\nAnswer: -164.00059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -4, 7, 4, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12612 and 28668?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*l + 7 = l, l = -4. Let g(v) = -14*v**3 + v + 2. Let x be g(j). Find the second derivative of 13*i - x*i + 12*i**3 - 11*i wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 13693.0565.\nAnswer: -68465.2825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 29*s + 4 - 62*s + 35*s. Determine i(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 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 h = -4\/5 + 2\/15. Which is the closest to -0.1? (a) h (b) 0.19 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -26, -3\/2, -6\/13, 4, -0.2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*l = -97*l - 5222. What are the prime factors of l?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*r - 32, -45 = w + 4*r - 1. Solve 1\/7*b**5 - 10\/7*b**3 - 4\/7 + 0*b**w - 15\/7*b - 20\/7*b**2 = 0 for b.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 42*f + 261 - 168 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -120. Calculate the remainder when g is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11111 - 2?\nAnswer: -11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -181*j**8\/336 - 7*j**4\/6 - j**3\/2 + 368*j**2. What is the second derivative of r(y) wrt y?\nAnswer: -3620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -67\/14982?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 52*i**2 - 69*i - 1. Determine a(51).\nAnswer: -919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6335 by -905.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23842, 47793, 71856, 96031, 120318?\nAnswer: 144717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/3, 3, -5, -0.174?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11*d - 9. Let l(f) = 72*f - 60. Let n(p) = 3*l(p) - 20*y(p). Suppose 10*i - 5*i = -k + 20, -5*k = 0. Let b(c) = 6 - 3 - i. Calculate 2*b(t) - n(t).\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -163360000 to the nearest one million.\nAnswer: -163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 + 7*n - 3. Let i(z) = 6*z**3 + 8*z - 3. Calculate 5*c(t) - 4*i(t).\nAnswer: t**3 + 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 23 = 3. Suppose 6*t = -6*t + 120. Let b(w) = w**3 - 11*w**2 + 12*w - 25. Let x be b(t). Put x, v, -24 in increasing order.\nAnswer: -24, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119200903123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i + i**5 + 7*i**5 + 10*i wrt i?\nAnswer: 160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-208) - 19\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7*15 + (5 - (-64)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26293, -2, -301 in descending order.\nAnswer: -2, -301, -26293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17807.8499 rounded to the nearest integer?\nAnswer: -17808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -198 by 3.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7766644 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(273\/(-14))*(-6)\/(-3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 21. Let n = 6 + r. Suppose 0 = 2*h + n*c + 2*c - 28, -4*c = -2*h + 68. What is the smallest common multiple of h and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24 from 5152.86.\nAnswer: 5176.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 20, 2*p - 22497 + 61249 = 5*m. What is m rounded to the nearest one hundred?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43905.99 take away 0.2?\nAnswer: 43905.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -g + 10, -3*f - 14 = 5*g - 4*g. List the prime factors of 72*(-7)\/g - (-2 + 1).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(153) + 1*sqrt(153)) - sqrt(153)) + 1*sqrt(153)*-2)\/(sqrt(72)\/(sqrt(8)*-2) + sqrt(225) + (-1*sqrt(225) - sqrt(225))).\nAnswer: -2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + p = 9, 4*q - 2*q = 2*p + 14. What is the nearest to -6 in -1\/2, 2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/18*-3*-3. What is the common denominator of -31\/30 and 42\/81 + (m + -6)\/(-5)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*y + 2, 5*o - 9*o + 3*y = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 20*h - 7354 = 21*h, -3*g - h + 11046 = 0. Is g a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from {p: 4, j: 5, r: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1451336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**4\/24 + u**2 - 32*u. Let f(h) = -2*h + 19. Determine f(q(p)).\nAnswer: -2*p + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**5\/12 + 325*a**4\/12 + 21125*a**3\/6 - 356*a**2. Solve o(g) = 0 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35.495 + -27.23. Round y to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -952?\nAnswer: -952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d, d - 6 = 85*i - 86*i. Let y(m) = 3*m - 15. Calculate y(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**0\/d)**9\/(d*d\/(d*(d*d**(2\/5))\/d*d))**(-30))**29)**10 assuming d is positive.\nAnswer: d**(-6090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155770?\nAnswer: 2, 5, 37, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + t + 1. Suppose b = -2*m + 7, -5*b + 6*m + 47 = 4*m. Let j = -10 - -14. Suppose -5 + b = j*s. Let n(l) = l**2. Calculate s*u(q) + 3*n(q).\nAnswer: q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times 98521\nAnswer: -24630.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + (-6)\/2)*0. Let r = -6 - -11. Solve g = -2*h + h + r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*v - 1)*(-101 + 28 - 22 - 4 + 5 - 2 + (-1 + 3 - 1)*(1 + 1 - 3)) + 0*v + 5*v - 3*v in the form l + o*v and give o.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {h: 1, o: 1, j: 7, v: 10, m: 1}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -296*a + 3486 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 smaller than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**2 - 6*s**2 - 2 + 4*s - 2*s**3 as n*s + a*s**3 + x + q*s**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - y + y + (2 + 2 - 2)*(-3*y + 5*y - 4*y))*(8 - 4*y**2 - 8).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**3\/7 + 1571264*w**2\/7 + 116257108*w\/7 + 307236456 = 0.\nAnswer: -392742, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176 - -183.3. Let x = 12.49 + -19.69. Let c = y + x. Which is smaller: -28 or c?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.7 - 1.3. Let h = -9 - s. Let p(q) = -q**3 - 4*q**2 + q - 1. Let b be p(-4). What is the nearest to 1 in b, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (216\/(-1320)*22)\/((-3)\/(-30))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-85))\/(91\/10465)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-5) + 1\/(-20). Let o(p) = -2*p - 49. Let i be o(-25). What is the nearest to z in -4, i, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 - 18*d - 60. What are the prime factors of f(-8)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 7) to base 4\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280133393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559*x**3 + 12*x**2 + 0 + 0 + 558*x**3 - 277*x**2.\nAnswer: -x**3 - 265*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 2 + 2 + 2*c**4 + 2*c**5 - 4*c**5 + 17*c**5 + 93*c**5 + 0*c - c**5 + 0*c + (-4*c**5 + 3*c**5 + 3*c**5)*(2 - 3 + 3) - 3*c**5 + 3*c**5 + 2*c**5.\nAnswer: 113*c**5 + 2*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-10)*(-7620)\/2286?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001071821 to six dps.\nAnswer: 0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 0*r**3 - 18 + 0*r - 2\/21*r**6 + 2\/7*r**4 + 0*r**5 - 2\/7*r**2. Factor l(b).\nAnswer: -4*b*(b - 1)**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212819644?\nAnswer: 2, 23, 257, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(-43)\/(m**(-6)\/m**(1\/3))*(m\/((m\/((m\/((m*m**(-5))\/m))\/m))\/m)*m\/((m**4*m*m)\/m))**(1\/30) assuming m is positive.\nAnswer: m**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 308 = b. Suppose 3*g - b = 2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/3 - 28*i + 244\/3*i**2 - 56*i**3 = 0. Calculate i.\nAnswer: 1\/6, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 + 1 + 11 + -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 51. Let q be (4\/14)\/((-60)\/u). What is the closest to 4 in 4, -0.08, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223402412 + -3?\nAnswer: -223402420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**2 - 16*j**6 - 5*j**6 + 20*j**2 wrt j?\nAnswer: -2520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*x + 278 = 5*x, -2*h = 3*x - 561. What is the remainder when h is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6875*w**2 + 21*w - 122. Let u(h) = h**2 + 12*h + 1. Let i(x) = -r(x) + 2*u(x). Find the second derivative of i(y) wrt y.\nAnswer: 13754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.009 - 0.209. Let p(d) = d - 3. Let y be p(3). What is the closest to y in 2\/3, m, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a century in months?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 6, -16\/3, 0.9, 4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*-1*4\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13\/(-156))\/((-28)\/24 + 1). Let q = -0.02 - -4.02. Let i = 1.78 + 0.22. What is the closest to -2\/3 in q, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*w - 50*w + 126 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (564\/130 - ((-10353)\/377 - -27))\/((-4)\/(-10))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2. Let j(t) be the first derivative of -t**3\/3 - 6*t + 3. Let d(i) be the first derivative of j(i). Determine d(c(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, i: 3}. Give prob of sequence gii.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 222 and 9064149.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Let x(h) = 2*h**2 - 3. Let b be x(-3). Suppose -o*c + 35 = b. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88065041?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-3) + (-2)\/(-3). Let r be (8\/(-10))\/((-4)\/(-20)). Let i = r + w. Solve -3*j - 12 = 3*p - i, -2*j - 17 = 5*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46612315 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13050 - 9123. What are the prime factors of d?\nAnswer: 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-469)\/(-93))\/(-48 + 46) - 20\/(-8).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (0 - -1)*-1. Let n = -2 - -4. Let i be ((-19)\/n)\/((-2)\/4). Solve -3*a = -d - 4, 2*a - 12 = -o*d + i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 163634.36 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 2*g)*(-2 + 0 + 3) + 0 - 2*g + 0 + (-6 + 6 + 4*g)*(-57 + 4 - 2).\nAnswer: -224*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = -8*r + 11*r. Let x = 106 + r. Let i(t) = 3*t + 2 - 8*t + t**3 - 4 - 4*t**2. Determine i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16254\/(-48))\/63)\/(2\/(-16)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:46 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 228680750 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1995\/(-342)*3\/5?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and 40.\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 24773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11*h - 6*h - 27 = 0, 3*j + 4*h = 14. Let t(y) = 10 - 6 - 3 - 2*y. Calculate t(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 112 - 108 = 5*c, 7 = 2*c + 3*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s - 49*s - 5*d - 10 = 0, 0 = -s - 5*d - 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/(-21) + ((-240)\/(-70))\/12\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kny when three letters picked without replacement from {s: 3, k: 3, d: 5, n: 1, y: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 10 = 502. Let c = d - -54. Let h = c + 44. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 17*p**2 + 3. Let a be x(17). Suppose -m + 2 = a. Do 2\/91 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401721904 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 22*a - 74. Let u(x) = 21*x - 69. Let j(z) = 3*q(z) - 2*u(z). Let g be j(4). Solve -12 + g = -8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -32. Solve 0 = t + d - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 378289, 378275, 378263, 378253, 378245, 378239, 378235?\n\"Answer: x**2 - 17*x + 378305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4, -t = -v - 3*v + 160. Suppose g = -0*g + 14. Calculate the remainder when v is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 40*j**2. Let k(y) be the first derivative of 3*y**2\/2 - 99. Determine v(k(q)).\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2347\/3 in -0.2, 3, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 0 + 0*h**3 + 0*h**2 - 11*h + 1\/3*h**4. Let s(l) = -2*l**2. Determine v(s(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -52. Suppose 2*q = 3*q + 2. Calculate the remainder when v is divided by q*(-3)\/((-6)\/(-7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -35570947\nAnswer: 2\/35570947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 111*i**3 - 9*i**2 - 5*i + 11. Let r be 1*(-1)\/(-3) - 375\/(-225). What are the prime factors of b(r)?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -98\/7425 and -56\/1146717.\nAnswer: 28667925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -15b?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/((-34)\/(-170)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 3315454?\nAnswer: 3315450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 15 = -3. Let k be ((-9)\/x)\/((-1)\/6). Let f = 27 + k. What is the lowest common multiple of f and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + (-5 - -8) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -434.99997624 + 435. Round g to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 99\/(-21) + 5 + (-2174)\/14. Let u = g - -239. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 8854933?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-3) + -8)*552\/(-92)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2321 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/342916630 and -53\/240041641.\nAnswer: 2400416410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3 + 7)*(2 - 1 + 1)*(j**2 + 44*j**3 - 44*j**3 - 28 + 2*j**5).\nAnswer: 64*j**5 + 32*j**2 - 896","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2055612 - 23?\nAnswer: -2055635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 615*u**2 + 1232 - 2447 + 1176 wrt u?\nAnswer: 1230*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/8*((-1053)\/(-48))\/(-27)*-4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -675588211 divided by 39740483?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 265, 271, 277, 283, 289, 295?\n\"Answer: 6*n + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(8\/(-5)))\/((-38290)\/(-43760)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -142?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71608 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-342 - -332) + (-2 - (-1 + -10)) + -38.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/28*(-186)\/(-10) and 40\/12*(-189)\/132.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 192.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + p**3 + 1 + 2*p**3 + 1. Suppose -4*q + 10 = q. Let b(t) = 16*t**3 + 10*t**2 + 11. Give q*b(u) - 11*j(u).\nAnswer: -u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 1. Suppose 3*l = -4*a + l, -l = 4*a - o. Solve 0 = 3*r - 16 + a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104255023150 - -2?\nAnswer: 104255023152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.4, 10, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 3*p**3 - 3*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6565\/(-1050) + (-4)\/(-14). Let j = 67\/240 + v. Find the common denominator of j and -69\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 7:34 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (52614\/180)\/37 - 3\/(-30) - -11. Solve 0 = 4*g - 4*l + 20, -76*g + 3*l = -71*g + d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19695633403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12830000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8118803 - 11626775. Let p be 2 + (-49840512)\/(-20) + (-6)\/(-15). Let n = g - p. What is n rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14067 and 162?\nAnswer: 84402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013 (base 4) to base 2.\nAnswer: -1000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*t + 4 = 0, y = -2*y + 3*t - 9. Let z = -0.4 + 0.5. What is the smallest value in y, 0.4, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 - 2*h**2 - 3*h**2 + (-99 + 99 - 9*h + (-3 + 3 + 2)*(9 - 4*h - 9))*(-3 + 4 - 3)*(1 - 1 - 2*h).\nAnswer: -69*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 450115680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 7*g**4\/6 - 23*g**2\/2 - 7*g. Differentiate y(d) with respect to d.\nAnswer: 28*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3529*a - 21891. What is q(-6)?\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 896 and 3244544?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2229483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101101001001 (base 2) to base 8.\nAnswer: 5511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3.2. Let i = z - 0.1. Let f be 4\/(-14) + (-92)\/(-28). Which is the nearest to 0.1? (a) f (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100645041 - 0?\nAnswer: -100645041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 23 + 7 = 0. Let d(b) = -b - 5. Let q be d(o). Is q > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4055626 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/81 - 1841\/891. Find the common denominator of j and -89\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 3*o + 4. Let i(y) = -12*y + 3. Calculate the remainder when l(-7) is divided by i(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 9:39 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 96\/288 + -16*2\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45\/(-30) - (-26)\/4. Suppose -o*j - 147000000 = j. What is j rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7495 a factor of 1259081824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j - 35. Let x be c(8). Suppose -l + 3*r + x = 0, 5*l = -5*r + 7 + 18. Suppose 0 = 6*m - l*m - 24. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**7\/420 + j**6\/240 + j**2\/2 - 4. Let h(q) be the second derivative of i(q). Factor h(f).\nAnswer: f**3*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164 + 164 - 184*a**2)*(-1 + 4*a + 6*a + 1).\nAnswer: -1840*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1583996\/(-36078) - -4*(-1)\/42.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-120)\/(-56) + 24\/28 + -2. Which is bigger: -3\/586 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -338*u**3 - 473*u**3 - 5430*u**3 - 796*u**3 - 1. Let g be y(3). What is g rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6493 - -6490. Sort -2\/5, f, 0.1, 11.7, -2.\nAnswer: f, -2, -2\/5, 0.1, 11.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -613*r + 2. Let a(b) = -6*b**2 - 82*b + 30. Calculate a(w(t)).\nAnswer: -2254614*t**2 + 64978*t - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -14815.154.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 39. Suppose v*h - 556 - 284 = 0. What are the prime factors of h?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {e: 4, v: 1, d: 3, b: 2, g: 9}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**2 + 54*a - 54*a + (-a + 0 + 0)*(a + 3*a - 3*a) + 86*a**2 - 1472*a + 1472*a in the form x + c*a + n*a**2 and give n.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3.4. Let w = 127\/4 - 32. What is the second biggest value in s, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -206 or 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -112723 or -112507?\nAnswer: -112507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + d**2 + d**4 + 0*d**4 + (-4*d**2 - 6*d**2 + 5*d**2)*(-4*d**2 - 2*d + 2*d).\nAnswer: 21*d**4 + d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002590207 rounded to seven decimal places?\nAnswer: 0.0000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1045 - -1040 - (-2 + -13 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 17*s = -14*s + 2, 2*n + 4*s = 0. Let b(x) = 4*x**2 + 10*x - 25. Let q(i) = -i**2 - 3*i + 8. What is n*b(g) - 14*q(g)?\nAnswer: -2*g**2 + 2*g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57834149?\nAnswer: 29, 41, 127, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -443065 (base 7) to base 8\nAnswer: -230124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54580761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-113 + 39 + 17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43024332 (base 5) to base 12.\nAnswer: -155055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)*q*q**10*q)**(-7)*((q**(1\/6))**(-14\/9))**(-15) assuming q is positive.\nAnswer: q**(-91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:44 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 644380 and 18700?\nAnswer: 54772300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222081, -217432, -212783, -208134, -203485?\nAnswer: -198836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16200.6 in 0.1, 90\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193 - 202.7. Let r = v + 15.7. Which is the closest to -2? (a) r (b) 2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**3 + 2*r**2 + 1. Let h be t(-3). Let l be (56 + (0 - 3))\/((-2)\/(-4)). Let q = l - h. Calculate the highest common divisor of q and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + q**2 - 2*q. Let u be i(0). Suppose -3*l + 0*l - 9 = u. What is the closest to 1\/3 in l, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 38*t + 51. Calculate v(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1748551\/75 + -23315. What is the common denominator of u and -41\/5?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -23) + (97 + -101 - (1 + (-39 - 1))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 219, 218?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/2)\/(10\/(-2140)). Suppose a = -k + 47, 5*k = -a + p - 98. What is the highest common divisor of k and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from riggyiuf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**8\/336 - 3*m**7\/35 - 131*m**4\/24 - m**3\/6 - m**2 + 144*m. What is the second derivative of v(q) wrt q?\nAnswer: -20*q**3 - 216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/5)\/((-12)\/30). Suppose -8*p = p - w. Suppose y = 2 - 0. Solve -y*a + 5 + 2 = -3*r, 4*r = p*a - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a7 (base 16) in base 2?\nAnswer: -1010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 286*g + 4268. Determine a(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8 and 0.0249247.\nAnswer: -0.7750753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 129341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -1\/2. Which is the biggest value? (a) 0.2 (b) n (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-9)\/(-3))*2. Solve 2*q = -l - 2*l - 10, 0 = 2*q - h*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 42 (c) 290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 + 210. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530 - 79 = -122*m + 157*m - 214 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 0 + 2 - 1 - 9*m + m**2. Let u be n(6). Let z(c) = -2*c + 1. Give z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g**1)*g)**(-43))**(-42) assuming g is positive.\nAnswer: g**(-1806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 996556 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4379*d**3*m - d**3 + 2*d*m - m + 1519 wrt d.\nAnswer: -13137*d**2*m - 3*d**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -347 - -346.5. Let k(w) = w**3 - w**2 + w + 2. Let j be k(0). What is the fourth smallest value in 0, 1\/3, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188 + 272. Find the second derivative of f*v**5 + 31*v**2 - 31*v**2 + 156 - v - 154 wrt v.\nAnswer: 1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*s**2 + 0*s + 0 + 3\/2*s**4 + 0*s**3.\nAnswer: 3*s**2*(s - 1)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5535 = 3*z, 3*q = -3*z + 6*z - 5547. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4\/3 - 454*v**3\/3 - 10931*v**2\/3 + 2293306*v\/3 - 5119800 = 0.\nAnswer: -414, -100, 7, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*f - 237*f = -52. Suppose -f*s + 1859 = -12345. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 25, 71, 0, 4 in decreasing order.\nAnswer: 71, 25, 4, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*h + 23, 7*s = 5*h + 3*s + 31. Let n be (h\/(-4))\/(3\/(-2)). Let j = -0.02 + 5.02. What is the nearest to n in j, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(228)*-6)\/((((sqrt(120) + (sqrt(120) - (sqrt(120) - -1*sqrt(120))) + sqrt(120) - sqrt(120)) + sqrt(120))\/sqrt(8))\/sqrt(5)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 29. Let c(d) = -d + 10. Give 11*c(i) + 4*m(i).\nAnswer: i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g + 16. Let t = 823 - 822.9. Which is the biggest value? (a) t (b) -0.5 (c) 1\/9 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -17 + 24 - 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 1740 = 3*h + 11404. What is the remainder when h is divided by 93?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.4 (b) 82.6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59, 33, -33, -157, -357?\n\"Answer: -3*j**3 - 2*j**2 + j + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 132*a**2 - 391*a**2 - 5*a + 8*a + 136*a**2.\nAnswer: -387*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -140, -3, -2, 1 in descending order.\nAnswer: 70, 1, -2, -3, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = q + 11, 0 = -771*h + 776*h + 4*q + 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-15) + (-2255)\/(-25). Let g = 96 - x. Solve -8*a - 8\/3 - g*a**3 + 50\/3*a**2 = 0 for a.\nAnswer: -2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(10\/11)\/r**36 assuming r is positive.\nAnswer: r**(-386\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 8*l**2 + l - 12. Is c(4) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -62682?\nAnswer: 62680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125320.\nAnswer: 2, 5, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0 - 3\/4*b**3 + 9\/4*b - 3\/2*b**2 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 38307 = -5*q, 7*y - 38299 = -5*q + 6*y. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, j: 3, g: 4, e: 1}. What is prob of picking 2 g, 1 e, and 1 p?\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -328, -332, -344, -370, -416, -488?\n\"Answer: -j**3 + 2*j**2 - 3*j - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*-9)\/(-1) + 1. Suppose 6*x - x - c = 0. Let q be (-2)\/3 - x\/(-3). Solve -2*b - b = q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*c + 5*f, 114 - 116 = -f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -110 - 18*r - 538 + 3*r + 9*r + 3*r in the form o + a*r and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-48)\/10)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x. Let c be s(-5). Suppose h + 5*j - 5583 = j, 2*j + 27959 = c*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1499*f - 2295*f + 361961 = 1308*f - 153341 for f.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1293, 3327, 6097, 9603?\n\"Answer: 368*p**2 + 930*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502421?\nAnswer: 502421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 142*h**2 - 10*h - 3. Let k(d) = 7*d**2 - 2*d - 1. What is -6*k(z) + s(z)?\nAnswer: 100*z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 99335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 166 (base 10) to base 6\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.074 + 0.3?\nAnswer: 19.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -198403.35 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27584539*a*j**3 + 2*a*j**2 - a + 7363060*j**2 wrt j.\nAnswer: 165507234*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 704968 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -587306*l*v**3 - 68*l*v + 95*v**3 + 103304 wrt l.\nAnswer: -587306*v**3 - 68*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-5)*(-30)\/12. Let x(p) = -p**2 - 2*p + 2. Let s be x(0). What is the second derivative of -6*t**s - 101*t - t**f + t**2 + 95*t wrt t?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18974098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123.9882 - -124. What is j rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/272248 and 35\/34099062.\nAnswer: 136396248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 975.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.46*-0.4.\nAnswer: -1.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o**0*o))\/(o**(-10)*o)*((o**(-1)*o*o)\/o)**(5\/11))**(-12) assuming o is positive.\nAnswer: o**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*l - 110 + 32, 2*b - l = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-324)*(657\/876 - (-2)\/(4\/(-1))).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 284349026?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 16*o + 7. Let c(n) = 4861*n - 2502*n - 15 - 2391*n. Calculate -6*c(q) - 13*i(q).\nAnswer: -16*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 17*h**3 + h**2 - 2*h + 1. Determine i(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7567931*g*k + 7493577*k wrt g.\nAnswer: -7567931*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1683.93 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -215*v**3 + 5*v**2 + 5*v + 5. Let b(l) = -323*l**3 + 8*l**2 + 8*l + 8. What is 5*b(c) - 8*j(c)?\nAnswer: 105*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -5\/14431456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -60. Put -5, v, -9, 2 in increasing order.\nAnswer: -9, -5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 5956.\nAnswer: 5\/5956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-14) + -1 + (-120)\/40. Which is greater: -0.2 or h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1792) + (sqrt(1792)*2 - sqrt(1792)))\/(sqrt(4) + sqrt(36)\/(sqrt(27)\/sqrt(3)) + sqrt(4)).\nAnswer: 16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13194 divided by -9.\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-350)\/(-40)*(-2)\/(-40)*-4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 2*r. Give x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 - -502?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5\/6*r**2 + 0 - 1\/6*r**4 + 2\/3*r**3 + 1\/3*r = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*k - 9*k + 7*k)*(-1 - 14 + 7)*(-4 - 1 + 6) as s + q*k and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/64566 and 133\/4182.\nAnswer: 2647206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:06 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let m be (p + 1)\/(4\/4). Let h be (m + 0)*9\/(-9). Solve -2*o + 2*w + 2 = h, 5*w + 33 + 0 = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -2 + -2 - (sqrt(99) + -1) - ((sqrt(704)*2)**2 + -4).\nAnswer: -2815 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -5*t - 49. What is the lowest common multiple of 14 and (t\/(-20))\/((-3)\/30)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -159 + 50 - -65 - -104?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 6*x**2 - 4*x - 8. Let r be i(5). Let h = 8 + r. Solve 19 = -2*v + 5*b, b + 2*b - 30 = -h*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 3*g - 7. Let p be (-1)\/4 + (-57)\/12. Let q be i(p). Let x(f) = 36*f - 4. Let t be x(q). Calculate the greatest common factor of t and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 160986375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.79 + 0.21. Let x = -0.246 - 12.754. Let a = u + x. Sort 1.1, a, 1\/5.\nAnswer: 1\/5, 1.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -146\/83 or -3?\nAnswer: -146\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1*s)**(2\/53)*s**(1\/7)\/(s*s**(-1\/2)))\/((s**0)**(-1\/28)*s**1*s**(-2\/5)) assuming s is positive.\nAnswer: s**(-3131\/3710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 13) in base 4?\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/2*n**2 - 13\/2*n = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 9*d**2 + d + 4. Let k be a(-9). Let t(p) be the second derivative of 1\/3*p**4 + 0 - 3*p**2 + 1\/20*p**5 - 2\/3*p**3 - 26*p. Give t(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -3.5. Let j = 0.4 - 0.6. Which is the nearest to j? (a) 5\/2 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468)*-2 - sqrt(468))**2 + -2 + (sqrt(91)\/sqrt(175))**2 + (sqrt(143)\/(sqrt(11) - sqrt(11)*-2))**2.\nAnswer: 105292\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 69, -4.\nAnswer: -16, -4, 1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19308965 and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + ((-3)\/1 - 4*-415) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 111, 84, 39, -24, -105, -204?\n\"Answer: -9*f**2 + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9597855 divided by -22.\nAnswer: -9597855\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3085651 is divided by 487.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/193 - -185\/772. Let q = -11 - -4. Let p = q - -6.9. Which is the nearest to p? (a) -0.4 (b) z (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30629 = 352*x - 1061 for x.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/((-528)\/15540) + (-2)\/8. Let z be 30\/40 - (-171)\/j. Factor 0 - 10\/9*s**2 + z*s**3 + 8\/9*s.\nAnswer: 2*s*(s - 4)*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 432, 2025, 3, 0, 2 in decreasing order.\nAnswer: 2025, 432, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3128)\/51)\/46*42?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - i**2 - i + 58. Let t be m(0). Suppose 2*h = -3*x + t, 6*h - h = 10. Suppose -x + 12 = -2*l. Solve 0 = -2*d - l*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 1. Let n(f) = -2*f - 6. Let w be n(o). Suppose -w*u = -u - 15. Solve 15 = -3*b - 3*y + 5*y, u*b + y = -25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 3*s + 56. Let u = s + -61. Let v = -95 - u. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -3*d + 16, 14*d - 36 = -3*n - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 97134*a + 7*a**3 + 284*a**2 + 2 - 97131*a - 10*a**3 in the form f*a + w*a**2 + n*a**3 + b and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 371*m - 374*m - 1 + m**4 + m**2 - m**3 to n + a*m**2 + k*m**4 + r*m + b*m**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/60 and -7\/9735?\nAnswer: 38940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 6. Let o(y) = -y - 3. Let v(m) = 3*j(m) + 7*o(m). Let x be v(-2). Let h(u) = -u + 1 - 4 + 10. Determine h(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*d - d - 5*w, w + 20 = -4*d. Let z be ((-3)\/d)\/((-2)\/1124). Let x = z - -472. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + ((sqrt(18)*-2*-5)\/sqrt(9) - (-1 + -1*sqrt(2) - (2 + sqrt(8)\/sqrt(4))))))**2.\nAnswer: 1080*sqrt(2) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1213893, -1213940, -1213987?\n\"Answer: -47*n - 1213846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 2\/1)\/(8\/4). What is the nearest to 2\/3 in -41\/4, u, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 - 72*h + 73. Let b be y(-27). What is the highest common divisor of b and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25023 and 2634.\nAnswer: 50046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 3. Give o(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -300149*v**4 + 132*v - 5622?\nAnswer: -3601788*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 0. Let l = 0.1 + r. Let a = l + 0.2. Sort a, -1\/7, 4 in increasing order.\nAnswer: -1\/7, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/12)\/(9\/12). Let c(x) = 4*x**3 - z*x - 5*x - 4*x**3 - x**3 + 3 + 4*x + 5*x**2. Give c(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhhhhyhhh. Give prob of picking 2 y.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**5\/10 + h**4\/3 + h**3\/3 - 5*h - 7. Let w(l) be the first derivative of v(l). Let c be w(-2). Is -7\/2 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -h. Let t(m) = -2*m - 42. Let x(v) = -9*v - 166. Let d(q) = 4*t(q) - x(q). Calculate d(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.6 in -49, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*w - 10. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35087 minus 0.649?\nAnswer: 35086.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-27)*y*y*y**(1\/4)*y assuming y is positive.\nAnswer: y**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63573204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 2142\/4)\/(3\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/10 + 31280\/100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107187480 divided by 61602.\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13199.4921025442 - -0.3111885442. Let d = -13210.181 - m. Let j = 11 + d. Round j to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*k + 55*k - 104 - 342*k in the form b + p*k and give b.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 318*y**4 + 32*y**2 - 29587*y + 1 wrt y.\nAnswer: 3816*y**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) + (sqrt(132) + 3*sqrt(132)*2 - sqrt(132))))*4)\/(-1*sqrt(192)*5).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -503804 and -2.327.\nAnswer: 1172351.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 372421060 to the nearest 1000000.\nAnswer: 372000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + d - 6 = 0, 6259 - 6274 = 2*u - d for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3456624 to the power of 1\/2, to the nearest integer?\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37615.14 - 37615. Put 5, -36, l, 0.02 in increasing order.\nAnswer: -36, 0.02, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by -1.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -5. Let s = a + -13. Suppose -9*h + 24 = -s*h. Solve h = -m + 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 - b - 2*b + b - 2*b**4 + 0*b to the form z*b**4 + l*b**2 + g*b**3 + m*b + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i - 2. Let j(b) = 4*b - 1. Suppose f = -h + 1, -f - 3*h - 7 = -4. Calculate f*z(c) - 5*j(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25830814, 25830813, 25830812, 25830811?\n\"Answer: -s + 25830815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*t - 5. Suppose -3 + 15 = t*x. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 84 + 32*w - 52*w + 18*w - 135.\nAnswer: -2*w - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 21 + 3*x**3 + 0*x**2 + 11 - 2*x**3 + x + 19. Let z be s(0). Solve 1 = -5*p - z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3662 and -197539923.\nAnswer: -197536261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362805?\nAnswer: 3, 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, 1 v, and 1 h when four letters picked without replacement from bmbbvbwhbm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -33. Let a(p) = -7*p + p - 3*p + m*p. Let d(n) = -5*n**2. Give d(a(f)).\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + z - 65, -5*n + 121 = -4*z - 48. Let w(l) = 2*l**2 + 9*l - 51. Calculate the remainder when n is divided by w(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(80) - sqrt(80).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -162*l + 166*l. Solve -n - l = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 4*b**2 - 2*b**2)*((-4 + 2 + 1)*(5 + 0 - 3) + 1 + 1 + 4) + (-3*b + b + 3*b)*(-b + 0*b + 0*b).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, f: 1, d: 1, u: 8, x: 1}. What is prob of sequence aa?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 13 + (-4 - -2). Let u = f - 11. Suppose 0 = -a - 5*j + 2, u*j = 4*a - 2*j + 14. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 16*u - 152. Calculate the greatest common divisor of 1724 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181 + 181 - 14*x.\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*x**3 + 65*x**3 + 77 - 77.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3 - 3*v**2\/2 + 8. Factor s(o).\nAnswer: -3*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -62 + 718e?\nAnswer: 712c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 8:22 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 904438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i. Let l(a) = 23*a. Determine h(l(g)).\nAnswer: 115*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 10:58 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1501, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1368 + 5.1368. What is the second smallest value in 2\/5, u, 1\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnnr when four letters picked without replacement from rrrnrrrrrrrnr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3*w**2 + 0 + (0 - 1 + 0)*(w**2 - 2*w**2 + 0*w**2) - w**2 + 2*w**2 + w**2)*(-7 - 13 + 1) as q + x*w + o*w**2 and give o.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-608)\/(-32) - (-2 + (-6)\/(-3)). Suppose 31*q = h*q + 26748. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -660 divided by -78106?\nAnswer: 330\/39053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -8. Let m be 1*h*2\/3. Which is smaller: m or 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1908 and 79\/75048.\nAnswer: 225144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, -407, -615, -825?\nAnswer: -1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 + 41*r**2 + 7*r**2)*(46*r**2 - 25*r**2 - 31*r**2) to the form n + t*r**2 + s*r**3 + a*r + l*r**4 and give l.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 take away 15063?\nAnswer: -14924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -38. Let y be (0 + v)*6\/(-10). Suppose -6 = -a + y. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -76, -1\/5, -89?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 3, 2\/19, -1\/3, -2.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 10*g + 3. Let v be q(-9). Let k = -4 - v. Suppose 4*r = 17 - 9. Solve -r*s + 2 = -b - 3, -6 = -k*b - 4*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 79388*n\/3 - 787806818\/3.\nAnswer: -2*(n + 19847)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**(5\/3)*a**(-8)*a*a\/(a**(-3)\/a)*a assuming a is positive.\nAnswer: a**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 + 7*h + 8. Let c be w(-1). List the prime factors of -3 + c - (3 + -209).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o + 3. Let n be 8\/(-3)*(-3)\/2. Suppose -n*g - 12 = -6*g. Suppose 2*m + 2 - g = 0. Calculate q(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**6\/6 + w**5\/4 + 25*w**4\/12 + 5*w**3\/2 - 2*w - 19. Suppose x(y) = 0. What is y?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904483 is divided by 139.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2 = 13*w - 39, 18*q + 5*w = 21*q + 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2370)\/237*2\/10*1. What is the smallest value in 2\/13, b, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 230, 336, 442, 548, 654?\nAnswer: 760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 4, 55\/1128, 1, -2?\nAnswer: 55\/1128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1597387*j - 1597382*j - 4*j**2 + 3194769*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -66, 1\/10, -113, 4.1, 2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -95659.85 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 21744*s**5 + 765890*s**4 + 7193066*s**3 + 7850706*s**2 + 1402942*s + 1156 = 0.\nAnswer: -17, -1, -2\/9, -1\/1208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*t + 19 = 6*x, 0 = 2*x + 3*t - 13. Solve x*a = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*k**2*t - 449*k**2 + 2*k*t + 77467*k wrt k.\nAnswer: -56*t - 898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*c = 10, 30 = -2*x + 3*c + 1. Let s be 37\/(-7) + (-2)\/x. Sort 5, 0, s.\nAnswer: s, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6\/13)*m\/(m\/m**(-1\/10)))\/((m\/((m**11*m)\/m))\/((m\/m**(-15))\/m)) assuming m is positive.\nAnswer: m**(3177\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6691 divided by -3.\nAnswer: 6691\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 e, and 1 v when four letters picked without replacement from {v: 4, f: 1, e: 2, g: 2, a: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -5901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/12 - (-7)\/((-294)\/26)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6720 - -16385. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7080909770.\nAnswer: 2, 5, 11, 1993, 32299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11844378?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3. Let v(b) = 6*b**3 - b**2 - 2. Let c = -3 - -6. Suppose 5*l + 5 = t, 3*t + 2 = 118*l - 120*l. What is c*o(k) + l*v(k)?\nAnswer: -3*k**3 + k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-56 + -2 + 36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12699438+-0.2\nAnswer: -12699438.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - -102200022?\nAnswer: 102122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x = -10*x - 3*y + 6, 2*x - y = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (2 + -2))*10*(-133)\/70.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1708295 or 1708229?\nAnswer: 1708295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1436722561, 1436722553, 1436722533, 1436722495, 1436722433?\nAnswer: 1436722341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 8*i + 12. Let h be n(9). Suppose 0 = h*a + 5*m - 37, 4*m - 32 = -2*a - a. Calculate the common denominator of -62\/3 and (-165)\/(-6)*a\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*(-6 + 6 + -1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8417638?\nAnswer: 2, 353, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 5*m**2 - m - 5. Let f be x(-5). Suppose f*n - 155104 = 2*n. Let t = n - -23552. What is t rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2 - 8*b - 28. What is the hundreds digit of x(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -417*v**4 - 65*v**3 - v**2 - 195553*v.\nAnswer: -10008*v - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.4 (c) -106.69 (d) 27\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/5)\/j**(2\/9))\/(((j*j**(-2))\/j)\/(j\/(j**(2\/5)*j))))\/((j*j**(5\/4))\/(j*j\/(j**0\/j*j))*(((j*j**4*j)\/j)\/j)\/(j\/(j*j**(-3\/5)))) assuming j is positive.\nAnswer: j**(-53\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 9. Let j = 4.9 + q. Which is the closest to -1\/5? (a) j (b) -1\/8 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*r - 1, r = 4*f. Suppose -4*b + 17 = 2*c + f, 0 = -3*b - 3. Calculate the smallest common multiple of c and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17364\/143 + -1334\/11. What is the smallest value in -1\/7, g, -1, 0.5, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 14 + -6 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 2. Let m = 15394 - 15396. Sort 0.3, 4, m, d.\nAnswer: d, m, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 86\/7 - 12. Suppose -4*i = 7 + 9. Let r = 0 - -2. Which is the closest to s? (a) 1\/3 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111634.\nAnswer: 2, 677, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (2 + (-6 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 11 - 2*g - 4*g**2 + g**3 + 4*g - 2*g**2. List the prime factors of u(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9428*p = 9453*p + 1025 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*z. Let n be 0 - -1 - (-112 - z). Suppose -2*g + 2*k + 36 = 0, -4*g + n = k + 21. What is the least common multiple of g and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(637)*-2*-5*-5)**2*-4.\nAnswer: -6370064 + 11200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (70\/8)\/((-5)\/(-20)). Let s = -33 + j. Suppose -s*f - 2 = -72. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -28. Suppose 0 = 5*q - 4*c + 3 - 11, -4*q = l*c - 25. Solve -5*m + 30 = -2*v, q*m = -v + 3*m - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g + 12. Let y be (-2)\/4 + 4930\/68. Let u = y - 80. What is t(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 7415*x**7\/21 + x**4\/6 + 369*x**2 + 4041*x. Find the third derivative of u(o) wrt o.\nAnswer: 889800*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Let w(b) = 8778*b. What is i(w(x))?\nAnswer: 26334*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b**3 + 4475*b**2 + 48135*b - 38610 = 0. Calculate b.\nAnswer: -11, 3\/4, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1388805 (base 13) in base 15?\nAnswer: -8237a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:11 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 32 + (7 - -2) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*u - 20*u - 635172 + 2824676 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.489 times 4\nAnswer: -1.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1162 + 7484536860.\nAnswer: 7484538022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 207885, 416512, 625145, 833784, 1042429?\n\"Answer: 3*q**2 + 208618*q - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 9. Let l be m(-5). Suppose -l*b + 17 = -3. Let d(z) = z - 26. Let s be d(25). Put s, b, -2 in increasing order.\nAnswer: -2, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -1008, -2496, -4568, -7218?\nAnswer: -10440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 55 = 5*g, 6*g = 3*g - 5*k + 27. Suppose -2*z + 220 = -324. Suppose -z + 78 = -2*j. What is the remainder when j is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5691 (b) 9 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16460\/3039 - -84\/1013. Let y = 1125 - 10175\/9. Find the common denominator of w and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-4 - (3 - (79 + -3))). Let b be (1 - 5)*75\/20. Let w(m) = -m**2 - 19*m + 8. Let l be w(b). Which is smaller: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1\/394615593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3571 - -3564. Which is the biggest value? (a) 3 (b) 3\/10 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -735225 divided by 75?\nAnswer: -9803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67.87451 - 0.04451. Let s = 67 - m. Let l = 7.63 + s. What is l rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-35)*-10*(-1)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeww when four letters picked without replacement from {e: 4, f: 2, g: 2, w: 4, d: 2}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Suppose 4*w - 1 = -v. Let l be w\/(-2 + 6\/4). Solve -l*f + f - h = -5, -h + 8 = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 + 2*t**2 - 6*t + 6. Calculate the remainder when r(2) is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -2\/3*b**3 + 13*b**2 + 0 + 0*b + 1\/24*b**4. Let x be u(6). Solve -x = a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 3*q**2 - 3*q - 4. Let k be x(-3). Let w = k - -1. Let s = w - 2. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (60 + -28) - (3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834.23 plus -0.4?\nAnswer: 2833.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2.7, 1\/6, -0.3 in increasing order.\nAnswer: -2.7, -0.3, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 116*f**2 + 1102*f + 9. List the prime factors of d(-10).\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -109361.34 to the nearest 1000.\nAnswer: -109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -0.1, 20\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (5 - -6) - 10) + (11 - 26) + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 8*(112974\/(-872080) - 1\/22)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010001011011 - 1011100?\nAnswer: -1100010010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 24186082?\nAnswer: -23\/24186082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - 5.06. Let c = 0.32 - 0.45. Let w = c + 0.03. What is the closest to 1\/2 in a, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = -2*x, 2*i + 0 = -5*x + 12. Let v(o) = 14*o**3 + 2*o - 1. Let u be v(i). Is 16 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 80130623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 5 = 3*u. Suppose 0 = h - 4*h - 3, 0 = 4*b - u*h - 18. Suppose w - 164 = 4*v, 0*v + 690 = b*w + v. Is w a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6486, 6488, 6490, 6492, 6494, 6496?\n\"Answer: 2*i + 6484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-45))\/(-4*(-3)\/90)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.05, 2\/3, -12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 - 1406*j**2 - 14 + 2*j + 1409*j**2 + 12 - 36*j**3 as o*j**4 + v*j**3 + y*j + c*j**2 + p and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**2 + 3. Let a(m) = -m**2 - m + 1. Let h(g) = 4*g**2 + 74*g - 3. Let q(d) = 3*a(d) + h(d). Give i(q(p)).\nAnswer: -2*p**2 - 142*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -145\/78 + 22\/13. Let h = 703 - 702.8. What is the closest to -3 in 3, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*j - 1008 - 2936 + 344 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2 + 7*x - 3. Let y(i) = 4*i**2 + 9*i - 10. Let z(n) = n - 2. Let g = 102 - 103. Let s(q) = g*y(q) + 4*z(q). Determine 5*b(p) + 7*s(p).\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(-2)*158\/1106.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11981, -11987, -11993?\nAnswer: -11999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(14\/8 - 2). Let r be -5 + 14\/3*111. Let y = r + u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8478 or -8477?\nAnswer: -8477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Suppose -5 = -i - o. What are the prime factors of 1 + i + 48\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166 + 38 = -242*s + 285 - 1259 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + -4 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.808058431 to 3 dps.\nAnswer: 0.808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7848 and 9592?\nAnswer: 86328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5317109 to the power of 1\/2, to the nearest integer?\nAnswer: 2306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4)\/j*((j*j\/(j**(-15)\/j))\/j)\/j)\/((j\/(j**(-10)\/j))\/j**14) assuming j is positive.\nAnswer: j**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 30 - 20 + 51 - 3*o**3 - 2*o**4 to r*o**3 + c*o**2 + v*o**4 + g*o + m and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -879 - -881. Let p(w) = -6*w**2 - 2. Let k(j) = 7*j**2 + 3. Suppose 1 = -3*y + g + 10, 0 = 4*g. Give b*k(n) + y*p(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4223113 (base 7) to base 14.\nAnswer: -d3c7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = 4*t + 13, 23 = 5*d - 2*t. Put 12, d, -1 in decreasing order.\nAnswer: 12, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.8 - -45.9. Let c = k - 26. Let q = 1.1000015 - c. What is q rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = x + 14. What is the units digit of 2\/(-11) + (-104)\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 238336, 476671, 715006, 953341, 1191676?\n\"Answer: 238335*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:48 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10337?\nAnswer: 10337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.3, 0, -1\/5, 754.7, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 913, 0, 1, 309, -1, 31 in decreasing order.\nAnswer: 913, 309, 31, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*l**2 - 245*l - 100 = 0. Calculate l.\nAnswer: -4, -5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 1, s: 2, j: 2, w: 1}. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 2*p, -9848 + 9815 = 4*q - 5*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2, 2*s - 2*y - 437 = 93. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + q + 5, 7*i + 5 = 2*i - q. Are 2\/21 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 14 = -12*y. Suppose 9504 + 1634 = y*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8127 - -8141. Let k = 65 - 41. What is the least common multiple of g and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2. Suppose 0 = w - 2 - 7. Suppose 4*j - w + 1 = 0. Let r(i) = j*i + 0*i - 5*i. What is r(z(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*a - 540, -3*a = -a - y - 207. Let g = 128 - a. What is the remainder when g is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1750054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 7*r**2 - 4*r - 3. Let k be c(-8). Let d = k - -72. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let m be 1\/(2\/(3 + l)). Differentiate -3 + 3 + m - p wrt p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -2*r. Suppose -x - 12 + r = 0. What is the tens digit of (-14 + x\/(-2))*-11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1920486 by 1920486.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h + 10. Suppose 0 = -5*a + 6*a - 3. Calculate the remainder when q(a) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352 by 2.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 14*z**2 - 3*z - 242. What is o(14)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16492?\nAnswer: 2, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 58. Find the second derivative of -j*m**3 + 16*m**2 - 25*m + 15*m**2 - 31*m**2 wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 52256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j + 0*j + 1)*(25*j**3 - 10*j**3 - 9*j**3).\nAnswer: 6*j**4 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/5676 and 47\/10164.\nAnswer: 437052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w - 1. Let g be x(-1). Suppose 180 = 3*l - v, -3*l - g*v = -2*l - 76. What is the remainder when l is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21251 and 3.9.\nAnswer: -82878.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + g**2 + 2*g - 4. Let h(w) = -2*w**3 - 2*w**2 - 3*w + 5. Calculate 4*b(t) + 3*h(t).\nAnswer: -2*t**3 - 2*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -81028+9\nAnswer: -81019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960) + sqrt(960)*-1 - -3*sqrt(540))\/((sqrt(48)*4 - sqrt(12))*3).\nAnswer: 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*b + 41 + 193, 2*b = -2*x + 100. Solve b*z - 44*z - 16 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 y when three letters picked without replacement from zyzyzzzzzzzzz.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 833303*g**3*t**2 + g**2*t - 14074417*g*t**2 wrt g.\nAnswer: 4999818*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6700 = -4*c, 5*y = -63*c + 68*c - 8350. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*k + 102, -4*k + 2*k + 78 = 4*t. What is the smallest common multiple of 10 and t\/10*(-50)\/(-15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*j = -15*j - 39 + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 2 - (-15 + 3). Let s = -7 + r. What is the units digit of 53\/s + (-3)\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 544?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:28 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 17*a\/4 - 15.\nAnswer: (a - 20)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -409957 divided by -2081?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 11 - 5. Suppose z*s - 144 - 80 = 0. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20311 + -11211?\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -952*z**2 - 79 - 70 + 494*z**2 + 456*z**2 + 3*z**3 - 5*z to the form d*z**2 + l + i*z + s*z**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) -2 (c) 2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -198, -300, -402?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(30\/(-4)))\/(-2*(-175)\/(-125))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 61. Suppose d = 3*o - 12 + f, 5*o = -2*d + 11. What is the greatest common divisor of 21 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19773829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2323003121 (base 4) to base 2.\nAnswer: 10111011000011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10)*(-7)\/(-7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + 0*r**3 + 0*r**2 - r**2 - 9 + 7 + 3*r**4 to y*r**2 + k + m*r + a*r**4 + w*r**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(20\/12)\/(-5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -584 in 0.32, -1\/9, -0.1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16316*p**2*r - 3502*p**2 + 13*p + 4*r + 111599 wrt p?\nAnswer: -32632*r - 7004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (300\/2940*63\/(-54))\/(2\/(-12)).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14*s - 14. Let g(m) = 5*m + 5. Let p(v) = 6*b(v) + 17*g(v). Give p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(6\/2))\/(2 + -3). Sort z, 0, 0.4.\nAnswer: z, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/(-16) - (3 + -6) and -21\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 7) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.4. Let r = 16 + -11. Which is the closest to 1\/2? (a) r (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200 - 2212?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1566, 9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 29*u**2 - 62*u. Let r(o) = 6*o. Determine d(r(m)).\nAnswer: 1044*m**2 - 372*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -981753 and -981753 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188 - 188 - 16827*d**3.\nAnswer: -16827*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*f**3 + 24*f - 24*f - 3*f + f**3 + 3*f + 0*f**3 + 0*f**3 - f**3 + (f**2 - f**2 + 2*f**2)*(0 - 2*f + 0).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1980 and 654.\nAnswer: 215820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23655 * -0.00982.\nAnswer: -232.2921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -222, -453, -686, -921, -1158, -1397?\n\"Answer: -a**2 - 228*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1331*d**5 + 382723*d**4 + 967164*d**3 + 451712*d**2 + 77536*d + 4560 = 0. What is d?\nAnswer: -285, -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14539 = -5*z, z - 2*z + 2900 = 3*w. Suppose -2917 = -5*u - 2*i, -5*u - 8*i = -4*i - z. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5113051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {e: 1, y: 4, z: 1, x: 5, j: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 take away -26?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0 + 3\/2*x**2 + 7\/6*x**3 + 15*x. What is n(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42005591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-333)\/3219 - 6460\/(-493)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5 = 4. Let s = 2935.88 + -2936. What is the biggest value in s, y, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 - 192*m**2\/5 + 354*m + 153164\/5.\nAnswer: 2*(m - 59)**2*(m + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/6 + (-9)\/(-6). Suppose -3*i + 1 = -u. Solve -3*r + 2 = 4*q + 14, -q + i*r = 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = 7. Suppose 0*f = l*f - 16. Calculate the lowest common multiple of 2 and f*3\/(9\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1693795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -90 - (-5)\/((-10)\/6). Let a = -53 - p. What is the highest common divisor of 200 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + 16 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1760 = -82*h - 125*h + 31*h. Solve 0 = 2*y - 5*f + 1, 0 = -13*y + h*y + 3*f + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 6, -4 = -5*l - 4*w - 191. Let z = -16 - l. Suppose -3*s = 5*x - 31, -5*s + z = x + 8. Let o(c) = -c**3 + c**2 + c - 1. Calculate o(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42 + -4?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1927\/11 + -175. What is b in 2\/11 - 2\/11*b + 2\/11*b**3 - p*b**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 9. Let w(c) be the second derivative of -19*c**4\/4 + 2650*c. What is w(u(n))?\nAnswer: -513*n**2 + 3078*n - 4617","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 20 in descending order.\nAnswer: 20, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1450 (b) -4 (c) 4 (d) 3 (e) 0 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -61, 29, 1, -2 in decreasing order.\nAnswer: 29, 1, -2, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/7 (b) -5 (c) 1\/8 (d) -3 (e) -1 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 9 - n**2 + 2*n**2 + 8 - n**2. Let z(m) = -10*m**2 + 2*m + 6. Calculate -8*c(u) - z(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(((sqrt(112) - -2*sqrt(112)) + sqrt(112))*-1 - sqrt(112) - (-1 + 1*sqrt(112)))**2 + -4)*1.\nAnswer: -768*sqrt(7) + 64524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*m - 1046 = 1578 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 3*l + 2*l)*(-1 + 0 + 0)*(1 - 10 + 24) as z*l + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -1.5. Let h(o) = o**3 - 3*o**2 - 4*o + 5. Let i be h(4). Suppose -5 = i*t - 0*t. Which is the second biggest value? (a) t (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 14*o - 5 = 0. Let w be 14\/4*(-2)\/4. Is o bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by -27.\nAnswer: -68\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 16*t + 36. Let v be 39\/(-26) + t*(-2)\/8. Suppose 4*a + u - 6*u - 123 = v, 0 = -3*a - 5*u + 101. Calculate the greatest common factor of 4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*m + 0*m - m)*(-4*m + 0*m - m) + (2*m - 3*m + 2 - m)*(-1 + 2*m + 1) as o*m + w*m**2 + l and give w.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7740959?\nAnswer: 233, 33223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b + 8. Let r be q(3). What is the hundreds digit of 12*r\/(-63) + (-6477)\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67310 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45341994 by 14.\nAnswer: -22670997\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 12\/(-4) - -8. Let w(r) = 6*r**3 + 9*r**2 + 5*r + 3. Let n be w(y). Suppose -1848 = -2*v - 0*g + 2*g, -n = -4*v + 3*g. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from hhusrrxxxxexxru?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -23 + 14 - (52 + -1).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (3 + 1) - -5. Suppose 0 = -a*v - 5*c + 535, 131 = v + 8*c - 4*c. Let q(k) = -15*k. Let i be q(-1). Calculate the highest common divisor of v and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*k - 91 = 45, -3*v + 208 = -k. Let p = -8 + v. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -106?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 97675703 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245286*12.\nAnswer: 2943432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 23*s**2 - 7*s - 16. What is q(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -331*g**2 + 656*g**2 - 55*g**2 + 773*g**2 in the form z*g**2 + s + o*g and give z.\nAnswer: 1043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 285 + -376. Let d = n + 87. Let p(u) be the first derivative of -u**3\/3 - 5*u**2\/2 + u - 1. Determine p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4559 - 4191 + 1930 = -110*g - 220 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence elkl when four letters picked without replacement from llllkekkl.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 8 = 2*t + 1, 6 = 3*f - t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 92.0206. What is f rounded to 3 decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2461 at most as big as -2461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0, 0.1, -1.249?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 4:32 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*z**3 - 135*z**3 + 20046*z**4 - 3 - 20045*z**4 + (-2*z + 0 + 0)*(z**3 - z**3 + z**3) to l*z**3 + x + k*z + m*z**2 + u*z**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -5b41?\nAnswer: 5b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9356 + -9351. Solve 20*y = -3*y - c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7695 is divided by 142.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15249 - 3603 = 3882*p. Determine u, given that -300\/11 - 2\/11*u**p + 8\/11*u**2 + 70\/11*u = 0.\nAnswer: -6, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/4)\/((-1)\/2). Find the second derivative of -26*m + 63*m + y*m**3 - 2*m**5 - 21*m wrt m.\nAnswer: -40*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345765.\nAnswer: 3, 5, 7, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8930906 to the nearest integer?\nAnswer: 2988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*v - 162 - 546, 2 = 2*t. Calculate the common denominator of (-10)\/35 + v\/252 and 31\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 2*s**2 - 3*s + 1 - 1 - 2*s**2 + (0*s + 2*s - s)*(0 + 0 - s) + 2*s - 2*s - 2*s**2 - 44*s**2 - 16766404 - 46*s + 16766404.\nAnswer: -51*s**2 - 46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(2\/(-322)*5019\/(-2151))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 - -43. Let f = t + 83. Let j be (-5 - (-335)\/75)*-3. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 471396323 + -470902533.9922. Let p = 493709 - y. Let g = p - -80. Round g to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysjf when four letters picked without replacement from yfisj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2576.26 + 2576.729958. Let o = u - 0.47. Round o to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(6*-2*sqrt(1100) + -5*(sqrt(1100) + 0) + 1))**2.\nAnswer: -5440*sqrt(11) + 5086416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - 36. Let o be w(-13). Suppose 6*u = o*u + 324. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*3\/54)\/(-13*11\/(-858))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21794\/3 or -7265?\nAnswer: -21794\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16454265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4590 = -6*z - 4530. Solve -5*c - 4 = 4*j, z*c + j = 6*c - 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114 + -104. Find the first derivative of 36 - 11 - 25 + w*b - 59 wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (5 - (20 + 28 - -25))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -134 + 33?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 17*s**7\/30 + 31*s**5\/6 + 370*s**2. Find the third derivative of h(d) wrt d.\nAnswer: 2856*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/8*(-56)\/(-10). Suppose -3*o - o = -2*h + 46, 80 = -5*o - 5*h. Let x = o + g. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2646)\/245*(105\/(-252))\/((-1)\/(-8))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*c + 744 = 3*d, 5*c = -5*d + 1245. Suppose -82 = -5*u - 2*f + 233, -5*f - d = -4*u. What is the remainder when u is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 22.8. Let z = 3 + i. Let p = 0.48 + 3.52. Which is the closest to -0.1? (a) 0.3 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7945557l in millilitres?\nAnswer: 794.5557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpc when three letters picked without replacement from {q: 2, z: 2, x: 2, c: 4, p: 1, k: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z**3 + 9*z**2 - 4*z - 29. Let w be l(7). Is -9*7\/21 - (w - -1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4028 (b) 0.1 (c) 0.3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71181752.\nAnswer: 2, 19, 227, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2234680)\/(-320))\/161 + -43?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and -1.277.\nAnswer: -1.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41, -7, -0.22, -2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-22)\/(i**(3\/10)\/i))\/(((i*i**(2\/37)*i)\/i)\/i)**(3\/28) assuming i is positive.\nAnswer: i**(-27591\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5367 is divided by 478?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -y + 58, -2*d - 7 = 2*y - 39. Suppose 2*s = 3*m + d, 2*s = 4*m + s + 22. Let n(i) = -34*i + 5*i + 19*i + i**2 + 7 + 11*i + 7*i. Calculate n(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 3. Let k(g) = -5*g - 3. Let z(v) = -4*c(v) + 3*k(v). Let a(t) = -t - 2. Let d(x) = -5*a(x) - 3*z(x). Suppose 0 = 4*n + 28 - 12. What is d(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30614511 and 402.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 55 + 11 + 20 - 4295*m)*(-m**4 + 2*m**4 - 2*m**4).\nAnswer: 4295*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/240635?\nAnswer: 2\/240635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1953 = -y + 1066. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95*x**5 - 5*x**3 - 2*x + 483 wrt x?\nAnswer: -1900*x**3 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 16 (b) -5\/2 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c**2 - 9 - 3*c**2 - 582*c**3 - 26*c - c - 1. Let r be m(-5). What is r rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1564 = -39*q - 62*q + 169*q for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486081969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15) - (-1534)\/(-295)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 1) + -23 + 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 0 + 4\/3*f**2 - 4\/3*f**4 - 8\/3*f**3 + 2*f + 2\/3*f**5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -4*y - 10 + 7 + 35, 2*y - 5*q = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3935 divide 186076325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2233838 or -2233833?\nAnswer: -2233838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 15 + 3*d**2)*(-21*d + 20*d - 16*d)*(-3 + 1 + 1) to n*d**3 + a*d**2 + w + i*d and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89112, 355317, 798992, 1420137?\nAnswer: 2218752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrsrrrrurusryrry. Give prob of sequence su.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4, -684, -6, 0.08 in increasing order.\nAnswer: -684, -6, -4, 0.08, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-37 - -2935)*-23)\/(-1*(-1)\/(-129)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 1. Let p(q) = 5*q**2 - 239. Calculate -p(j) + 4*x(j).\nAnswer: -9*j**2 + 235","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 3, -28, -5, -141.\nAnswer: -141, -28, -5, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-2 + 1) - -32*(-17)\/68.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**2*b)\/b*b\/b**(-5)*b*b)**(11\/4))**(1\/11) assuming b is positive.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 130*g**2 + 9 - 48*g**2 - 25 - 4*g.\nAnswer: -178*g**2 - 9*g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:24 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5390 and 12.\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 25 - 19. Let g(d) = 2*d**3 + 2*d**2 - d. Determine g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*s**2 - 77*s wrt s.\nAnswer: -322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*v**5 + 5011*v**4\/2 + 40313*v**3\/2 + 17652*v**2 + 360*v = 0 for v.\nAnswer: -4, -1, -15\/718, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -167*k + 1078. Calculate n(6).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70040.87m to millimeters.\nAnswer: 70040870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60 - -12?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/12485 and 60\/274897?\nAnswer: 15119335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -46. Suppose -g - 4*w = -8*w - 237, a*g + 2*w = 641. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -139347\nAnswer: -1\/139347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1537, -101 in decreasing order.\nAnswer: -2, -101, -1537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/11))\/(b*b\/(b**4*b*b))*(b*b**(2\/5))**(-1\/19)*(b**1)**13\/(b**(1\/9)\/b*b*b**(-2\/19)) assuming b is positive.\nAnswer: b**(170252\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 7) to base 5\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/7 - -31\/42. Let b = 23588\/5 + -4782. Let g = 64 + b. What is the smallest value in g, r, -1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - y - 2*y = 6778, 2*g - 5*y = 6778. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 683.7 - 690.7. Let g(q) = q**3 - 4*q**2. Let p be g(4). What is the nearest to p in 2\/21, -2, y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 9 + 2*y**2 + 121 + 97 as w*y**2 + k*y + g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:39 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*h + 1110*h = 21228 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6850 smaller than 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**6\/540 - n**4\/36 - n**3 + 5*n. Let y(s) be the second derivative of k(s). Factor y(c).\nAnswer: 2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**3\/3 + 5*o**2\/2 + 28*o + 1. Let t = -18 - -13. Let a(d) = -4 - d - d + 0. Calculate t*a(f) - 4*g(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564411 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: Suppose -4*w + 2*b = -10 + 4, 0 = b - 1. Solve -w*t = 3*t + 5*o + 5, 4*o = -3*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*r + 11*r - 5116768. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 28*z + 160. Let i be f(20). Put 84, i, 2 in ascending order.\nAnswer: i, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 7:54 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -4. Suppose x*r + 2 = 5*r. Let u(t) = 7*t**3 - t + 1. Determine u(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2878*c**2 - 404*c**2 - 1959*c**2 - 8105*c**2.\nAnswer: -13346*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o - 1)*(2*o - 2*o + 2*o)*(3*o - 21*o + 2*o)*((3*o - o - 6*o)*(0 - 1 - 1) + 3*o + 4*o - 5*o + (-3 + 1 + 4)*(0*o + 3*o - 2*o) + 0*o + 2*o - o).\nAnswer: -832*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17 * 80.\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + 88\/5. Suppose 3*g - w = -3. Suppose -g = -4*n - 1. Put n, 4, -1 in descending order.\nAnswer: 4, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-6\/7)\/u*u*u**(4\/3))\/(u*u\/(u**(2\/3)*u)*u\/(u**(2\/7)*u*u*u)))**(-21) assuming u is positive.\nAnswer: u**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -8 - (5 - 3)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 19 + 14 = 0. Factor u + h + 1\/4*u**2.\nAnswer: (u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 174, 43, -174, -477, -866, -1341?\n\"Answer: -43*b**2 - 2*b + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/10968 and 71\/170004?\nAnswer: 340008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201102 - 12?\nAnswer: 201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -66. Suppose 14*r + u*r - 126 = 0. Solve -r*g + 4 = -10*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 446 + -445.9. Let c = -1.009 - 16.311. Let t = 17 + c. Put 3\/7, t, s in ascending order.\nAnswer: t, s, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178685410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1716 in -2, -3, 2\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = 10*s - 322 + 166 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {b: 1, v: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2337 (c) -67\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -21\/4*r + 3\/2 + 3\/4*r**4 + 27\/4*r**2 - 15\/4*r**3 = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26716421 is divided by 162905.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 5:48 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 (base 15) in base 16?\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177712?\nAnswer: 2, 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -236\/813? (a) -4 (b) -1\/7 (c) 0 (d) -2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 773.931 years?\nAnswer: 0.773931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -57*l**2 + 12488*l + 24982. What is h(-2)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - -12) + 1 + -10?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(68)*-1 + 4 - ((sqrt(68) - (sqrt(68) + 1 + -4)) + sqrt(68) + 4 + -2*sqrt(68)))*2 + 3)**2.\nAnswer: -144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 15*x + 50. Let i be n(-13). Let t = -76 + i. Which is smaller: t or -24\/23?\nAnswer: -24\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 6*b**2 + 4. Suppose 15 = -7*m + 1. Let c = m - -8. Determine w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.5344 to one dp.\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -45*k + 37*k. Suppose -5*l + 8*x = k*x - 2068, 5*l = -x + 2066. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 4*z + 20 = 0. Let j be -2*((-10)\/16)\/z. Which is the nearest to 2? (a) 3 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -8*v - 1632. Suppose v = 14*p - 8*p. What is the tens digit of 868\/6 - p\/(-51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63293501 and 57208?\nAnswer: 7151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 275\/(-100)) + 3\/12. Let u = 12 - 24. Put u, 3, 4, z in increasing order.\nAnswer: u, z, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqrssbbwqwtq. Give prob of sequence wr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*s - 22, 0*b - s + 25 = 5*b. Suppose 0*z + 3*z + b = 0, 0 = -3*h + z + 11. Suppose -1\/2*g**h - 2*g**2 + 0 - 2*g = 0. Calculate g.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -255*g**6 - g**2 - 48 wrt g.\nAnswer: -30600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -591 + 585.79. Let s = w - -0.21. Let g = -2 + 5. Which is the nearest to -0.1? (a) s (b) 2\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 732 + -723. Suppose 2*m = 10 + 4. Differentiate -i + m*i**2 - 11 - 8 - r - 11 wrt i.\nAnswer: 14*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4\/4 - 137*h**2 - 151*h + 468. Differentiate y(w) wrt w.\nAnswer: -3*w**2 - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (3 - (-1 - (0 - 3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (8\/(-4) + 2). Suppose 2*a - 3*f = 1, -x*a - 2*a = 2*f - 31. Suppose -421 + 126 = -a*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0 + (-15)\/(-3) + (0 - -13) and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 greater than 596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - x**2 - x + 2470. Let i be g(0). Suppose 3*t + i = 16*t. Calculate the smallest common multiple of 2 and t.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -5, -2, 1.49, 4, -1\/8, -41\/216?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2*v**3\/3 + 27*v**2 - 830. Let m(x) = 0. What is x?\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722797641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o + 41. Let r = o + 73. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821442818?\nAnswer: 2, 7, 58674487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 29 = -0*f. Let u(d) = d**3 - 6*d**2 + 7*d - 8. Let s be u(7). Let w = s - f. Calculate the remainder when w is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -185*55092\nAnswer: -10192020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14396.447 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f + 4. Let g(l) = -8*l - 11. Let k(x) = -4*g(x) - 11*y(x). Let t(p) = 2 - 5 + 3 - 2*p**2. Calculate k(t(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.9 - -6.1. Let z = 6.9 - i. Put 0, z, -2 in descending order.\nAnswer: 0, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56906*s**2 - 56906*s**2 - 2 - 16*s**3 - 3*s to the form y + d*s + c*s**2 + m*s**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -77*t**2 + 3*t - 4. Let v(r) = -409*r**2 + 16*r - 21. Calculate -11*o(c) + 2*v(c).\nAnswer: 29*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d + 2*d)*(3*d**2 - 3*d**2 - d**2)*(4*d**2 - 2*d**2 - 3*d**2 + (-3 + 2*d + 3)*(-33*d + 186 - 186)).\nAnswer: 67*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 317 - -2750. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4 + 147908*s**3 + 591594*s**2 - 443736*s - 2662200 = 0.\nAnswer: -73950, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1544\/(-965) + (-1)\/(-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1476*c**2 - 1114 wrt c.\nAnswer: -2952*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82616783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2225 and 0.384623997956.\nAnswer: 0.162123997956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 + 112. Let z = -70.96 + 69. Let v = -0.04 + z. What is the third smallest value in a, -1\/7, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1707450 rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3 - 47361*q**2 - 236742*q - 189384 = 0.\nAnswer: -15782, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 2.08, -78, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170*j**2*p**2 - 49*j**2*p + 19*j*p - 21593629*p**2 wrt j.\nAnswer: 340*j*p**2 - 98*j*p + 19*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393581.\nAnswer: 393581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -25, -27, -29, -31, -33?\n\"Answer: -2*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/4 + 570545*s**2 - 2282177*s\/4 - 2282179\/2 = 0. Calculate s.\nAnswer: -1, 2, 2282179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - 3)\/(-2) - 0. Let m be ((-11)\/2)\/(r\/(-6)). Let b = m - 7. Solve -b*p = p - 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4)*v)**(2\/47)*v**(-1\/5)\/(v\/v**1) assuming v is positive.\nAnswer: v**(-69\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -387.\nAnswer: 4\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 21 + -24 - -30?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -7, -2, 2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -401a + 196?\nAnswer: -3934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/14 - (64\/14 - -1). Let b(d) = 8*d**2 - 7*d + 31. Let q be b(l). Calculate the highest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120022 (base 13) in base 12?\nAnswer: 187b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**18\/((o\/o**(-3\/4))\/o))**(-2\/45))**(-44) assuming o is positive.\nAnswer: o**(506\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + -38. Let l(x) = -x**3 - 7*x**2 + x + 7. Let k be l(c). Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3886 and 101\/4?\nAnswer: 7772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2160 (base 10) in base 14?\nAnswer: -b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139181 (base 12) to base 7.\nAnswer: 2530603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(171))\/sqrt(9) + 4) + -1.\nAnswer: -6*sqrt(19) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19110 - 19106. Solve -o*s = 5*i - 32, 2*s + 72 - 82 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 634476, 634424, 634372, 634320, 634268, 634216?\n\"Answer: -52*f + 634528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 4 - 2)*(-3 - -44). Let k = 113 + s. Let j = k - -122. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 4*o - 4. Let l(a) be the first derivative of -a**2\/2 + a + 1791. What is -4*l(j) + w(j)?\nAnswer: j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/112 and 642\/(-368)*(-3)\/(-630)*5.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 - 3) - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110220102021220 + 0?\nAnswer: -110220102021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 76203 - 41345. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 432, 471, 660, 1113, 1944, 3267?\n\"Answer: 19*o**3 - 39*o**2 + 23*o + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 10*v**2 + 59*v + 5. Let p(i) = -12*i**2 - 60*i - 6. What is -4*p(b) - 5*u(b)?\nAnswer: -2*b**2 - 55*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9 (b) 57 (c) -0.1 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*c - 12 = 0, 5*t - 4*c + 8 = -7. Is 11 a factor of (t\/1)\/((-12)\/176)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -47, 138, -1, 2, -2.\nAnswer: -47, -3, -2, -1, 2, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 84434921 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1525 by 1176.\nAnswer: -1525\/1176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1117, 4476, 10081, 17932?\n\"Answer: 1123*x**2 - 10*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 38. Which is the smallest value? (a) -1\/3 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-183)\/(-12))\/(7\/56). Suppose 121*h = u*h - 1. Let z be ((-21)\/(-30) - 1) + h\/(-2). Sort 3, -1, z.\nAnswer: -1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 524 + -517. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = n - 220, 0 = -x - 2*n + 4*n + 71. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*u + 3*t, 2*u + 3*t - 2826 + 2819 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + i = 17 + 4, -3*t + 42 = -2*i. Solve 3*s + t = -0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*y, -3*y = -4*q - 0*y + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 - (3*14\/6 + -4). Let h be 6\/b*5\/13. What is y in -h*y - 4\/13 + 2\/13*y**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13487, 38507, 75071, 123179?\nAnswer: 182831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 20889932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 + 2*v**2 - 12*v**4 + 7*v**3 + 11*v**4 to the form p*v + w*v**3 + b*v**4 + k + y*v**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -159*f**2 + 0*f + 0*f**4 + 1\/12*f**5 - 2 + 0*f**3. Let p(i) = i. Calculate w(p(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47539209*r - 26403394?\nAnswer: 47539209","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 629*x + 8*x**3 - 2 - 630*x + x**3 to h*x**3 + m + z*x + p*x**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -293*v**3 - 28*v**2 + 9*v - 36. Let s(d) = 73*d**3 + 7*d**2 - 2*d + 8. Give -2*m(u) - 9*s(u).\nAnswer: -71*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/8)\/(((-5)\/(-10))\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 1, p: 4}. Give prob of picking 3 p.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -10. Let m = s + 12.2. What is the biggest value in 0.5, m, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1452*i**3 + 18*i**2 - 38*i + 7. Let c(n) = 2904*n**3 + 45*n**2 - 76*n + 15. Let v(y) = -2*c(y) + 5*m(y). What is the second derivative of v(d) wrt d?\nAnswer: 8712*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-5\/6)*w)\/w*w*w\/(w\/w**(1\/3)))\/(w*w*w**(8\/3)\/w*w*w*w\/((w*w**(-7))\/w)) assuming w is positive.\nAnswer: w**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.81 less than -543865189?\nAnswer: -543865188.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4004\/(-16) - (-3 + 7). Let m = -256 - y. What is the common denominator of 65\/12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 23 - 8) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31021, 31012, 31003, 30994, 30985?\n\"Answer: -9*l + 31030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 35*f**3\/6 + 59*f**2\/2 - 29*f - 16. Let a(r) be the first derivative of k(r). Differentiate a(v) wrt v.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1104 divided by -149968?\nAnswer: 69\/9373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + s - 1. Let c be i(1). Let y(h) = -1239*h**3 + h**2 - 2*h - 2. Let o be y(c). Suppose o = 13*n + 187. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4792609157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 944*t**2 - 840*t - 2 wrt t.\nAnswer: 1888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = -20. Let j = x - 6. What is the greatest common factor of j and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + 42. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86623146 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 2 + -4 - (sqrt(99) + -1)*-2 - ((sqrt(121) - ((sqrt(121) - -2*sqrt(121)) + sqrt(121) - sqrt(121)))*-5)\/(sqrt(11) - 4*sqrt(11)*1))*-1.\nAnswer: -37*sqrt(11)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 227*t**3 - t**2 - 5*t + 9. Let m be u(2). Suppose 0 = 12*y - 793 - m. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7216, -7212, -7208, -7204, -7200, -7196?\n\"Answer: 4*d - 7220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -1\/7 (c) 96 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1421 divide 374877425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 218385*h - 655110.\nAnswer: -5*(h + 3)*(h + 43674)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.968 + -0.968. Sort 12\/5, -4, a, 1.\nAnswer: -4, 1, a, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -19, -1, 32 in decreasing order.\nAnswer: 32, 4, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488071755.\nAnswer: 3, 5, 1097, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + 11. Let f = 82 + k. Is (18 - f)*(-113)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-100))\/((-14)\/210).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 446 (base 8) to base 14\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1216) + 0)*-1 + ((sqrt(228) + (sqrt(228) + (sqrt(228) - -2*sqrt(228)) - sqrt(228)))*-6)\/sqrt(12))**2.\nAnswer: 19456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*m - 15*m + 3*m + 37*m to the form l*m + y and give l.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 11 - 6 - 18*h - 3*h + h - h + (-h + 0*h + 2*h)*(0 - 3 + 2) to the form r + w*h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 1. Let h = -95 + 85. Let u(n) = -15 - 5 - 7*n - 5*n + 32. Calculate h*y(f) - u(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (17 - (11 + -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:12 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2617*c + 2617*c - 3*c**4 - 3*c**2)*(1 - 5 + 2)*(-3 - 3 + 2) as m*c**4 + j*c**3 + p + h*c**2 + u*c and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10375*m + 176391. Give o(17).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**3\/3 - 3*b**2\/2 + 12*b - 100. Let n be z(-5). Solve -6*f + n*f + 16 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 13599*t - 32. Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/1*(-48)\/(-36). Let h = -28 - -29. Suppose 2*o = i + h, -4 = 4*i - 2*o - 0. Sort i, 12, t in ascending order.\nAnswer: t, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 93 - 3 = 0. List the prime factors of (-1)\/o + ((-174350)\/(-120))\/11.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 = -2*m, 3*v + 3*m = -2*v + 15. Suppose 3*j = -15, 2*x - 2*j = 3*j + 25. Solve x*h + 12 = -4*h, 4*q - 4*h - 12 = v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2507*z + 2*z**2 - 1 - 3 - 3*z**2.\nAnswer: -z**2 - 2507*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 57\/2*(-4)\/(-6). Suppose -j + 0*j = -k. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z - 3*z - z)*(1 + 1 + 0) - 2*z + 2*z + 2*z)*(-2*z + 0 + 0)*(2 - 7 + 0) + 4*z**2 + z**2 - 2*z**2.\nAnswer: -37*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22743091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.962649 minutes in milliseconds?\nAnswer: 417758.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = i - 4*h + 7, -6061*i + 6080*i = -5*h - 67 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/1296, -0.2367, 0?\nAnswer: -0.2367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssevsksveevsqvwqvess. What is prob of sequence vqsq?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17196712 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 3)\/(-3) + 2. Suppose 4*h = k + 6. Suppose -145 = h*f - 7*f. Solve 5*l = -3*q + f, -2*l + 3*q = -6*l + 25 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.2576487 hours?\nAnswer: 15.458922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/9 - 312784*l\/9 - 12229228832\/9 = 0.\nAnswer: -78196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -548*d**2. Let z(r) = -346768*r**2. Give z(l(j)).\nAnswer: -104135817472*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29383 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 243704 and 904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6765667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = m + 4*m. Let x(r) = -3*r + 4. Calculate the lowest common multiple of x(-6) and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11270, -0.4, -1, -357, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p + 92 = 0. Suppose -4*i = -518 - p. Let h be (i\/(-21) + 7)\/(1\/7). Solve h*v + 10 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1 - 36) + (-6 - -317) + -297?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 36 - 6*v + 2*v - 26*v. Does 13 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2 times 21.35\nAnswer: 42.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80*p - 71 wrt p.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30423, 243859, 823185, 1951347, 3811291, 6585963, 10458309?\nAnswer: 15611275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 124119*u - 123902*u + 312 - 220 + (u + 0 + 0)*(2 + 0 - 1).\nAnswer: 218*u + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -51. Suppose 0 = 5*s - 12 - 13. Suppose -t - 1 = 5*o - 2, -2*o + j = s*t. Let f(u) = u - 4. Give f(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3 - 5. Suppose -4*a + a - 25 = -4*w, -2*w + 2 = 2*a. What is the remainder when w is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 10*b + 16*b + 225*b**2 - 65*b**2 - 3*b.\nAnswer: 160*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 23. Calculate the common denominator of 348\/(-8)*-1 - 4 and u\/28 - 1814\/168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + u - 7, -4*l - 23 = -0*l + u. Is -106\/19 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1926*f - 253 + 2073*f + 256.\nAnswer: 147*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 1\/4 (c) 56817\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 512814 = -512726 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19296, -19297, -19298, -19299?\n\"Answer: -w - 19295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = -2*a + 3, 3 = -a + 2*j. Let c be -1*7\/1 - -2. Sort c, -3, a in ascending order.\nAnswer: c, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 23*l + 363 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44837 divided by -3\nAnswer: 44837\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 14. Suppose 4*o - 161 = -3*o. Suppose 0 = j - h - 9, 2*j + 3 = h + o. Are j and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 15 + (-1 - 5) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-69 + 69)\/(22\/2). Solve -27*j + 39*j - 60 = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + -48\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(-35) - (-21165)\/5229?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 787.2516 litres?\nAnswer: 787251.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, 3\/5, 0.2, -1\/151, 0.5, 0.7, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 4*p + 2*p)*(0*p - 3*p**3 + 0*p) + (-2*p + 2*p + 2*p**3)*(0 + 0 - 2*p) + (-p**3 + 4*p - 4*p)*(-2*p - 2*p + 3*p).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + 38\/3. Let f be 864\/(-10) + 4\/10. Let q = 177 + f. Calculate the greatest common divisor of o and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*j + 6*j - 24, 4*s + 36 = 5*j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 564*i - 737*i - 419*i + 37.\nAnswer: -1720*i + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 8*z**2 - 3*z**2. Let f(o) be the first derivative of o**5\/60 - o**2\/2 + 12. Let n(v) be the second derivative of f(v). Give m(n(t)).\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven halves of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20892647 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/6)\/(4\/42). Let a be 9\/(-8) + -5 + (-1)\/(-8). Let m = a + g. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -6, 5*n - 42 + 16 = 2*g. Let b(c) = -c**2 - 3*c - 18. Give b(g).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/90 in 2\/7, 0.5, -2.2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 231 (b) 2 (c) -3 (d) 6\/61 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 4*o + 11. Suppose -2*h - 5*x - 14 = -h, -4*h - 2*x = -16. Let f be z(h). Let d = -11 + f. Solve 4*g + d + 0 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, 0 in increasing order.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 850 and 850 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 25*y**3 + 83426015*y**2 - 116796500*y - 100111260 = 0?\nAnswer: -3337042, -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 7*j + 2. Let r be n(7). Solve -r*u + 8 = -3*h - u, -u = -4*h - 11 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/27 and 59\/348.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(-39)\/((n*n*n**(6\/5))\/(n**16*n)) assuming n is positive.\nAnswer: n**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w - 42. Let v = -158 - -168. Is 6 a factor of p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42379.\nAnswer: 42379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j - 7. Let s(o) be the second derivative of -7*o**3\/6 - 3*o**2 + o. Let y(q) = -68*q**2 + 1236*q - 210. Let m be y(18). Give m*s(w) - 5*z(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2 + 28*g = 0 for g.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/4 + 13*y**2. Let g(w) = -6 - 2 + 8 - 2*w**2. Calculate p(g(i)).\nAnswer: -60*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, c: 7, y: 2, o: 2, s: 1}. What is prob of picking 2 o and 1 q?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + m - 1. Let d be f(2). Suppose -39 - 6 = -d*r. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Suppose 0 = -y*q - 59 + 14. Is (2*q)\/(-2) - -1 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y + 4*y - 11*y. Let i(l) = -6*l. Let n(r) = r**2 + 12*r + 8. Let t be n(-6). Let k(s) = s. Let v(x) = t*k(x) - 4*i(x). Calculate v(c(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13590000 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 11:51 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.08, 0.06, 2.4, -2\/3?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -2\/5 (b) 2\/9 (c) -4 (d) -7 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101010010000010 (base 2) in base 3?\nAnswer: -21202110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = -2*a + 111, -3*w + 93 = -4*a. Calculate the remainder when 65 is divided by w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -11. Let w be (-192)\/z - (-4 - (-138)\/33). Let l(i) be the first derivative of -i**2\/2 + 2*i + 2. Let x(y) = -6*y + 11. What is w*x(q) + 33*l(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3095, -3097, -3101, -3107, -3115, -3125?\n\"Answer: -o**2 + o - 3095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 3*(8 + ((-16320)\/(-126))\/(-16))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 745 - 271. Let k = -54 + u. Let o be (-10 - 0)\/(10\/(-50)). What is the greatest common divisor of k and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4318 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222554*-3.\nAnswer: 667662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 37*j - 2 - 68*j + 29*j as g + u*j and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 5:08 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(78))\/sqrt(3))\/(sqrt(64)\/sqrt(2) - -1*sqrt(2)*2).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 258831*j**2 - 35957 wrt j?\nAnswer: 517662*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 + 1876278?\nAnswer: 1876261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-72) + 18\/81. Let z(u) be the first derivative of -1\/2*u**2 + h*u**4 - 1 + u - 1\/3*u**3. Factor z(b).\nAnswer: (b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 16991*c**2 - 48 + 20 + 14 as a*c + l + t*c**2 and give t.\nAnswer: -16991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 5 + 0 - -45) + -13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33420718?\nAnswer: 2, 43, 229, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86541011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3\/3 + 9515*r**2\/3 + 5854720*r\/3 + 263782400.\nAnswer: -5*(r - 2415)*(r + 256)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 25*b + 32. What is the remainder when 257 is divided by s(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -16*b + 6. Let j(h) = -h**2 - 8*h - 8. Let l be j(-6). Suppose l*c - 1 = -3*z - 15, 0 = c - 3*z + 11. Is q(c) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1333*u - 342*u + 6706 = -3344 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*t + 34. Find the second derivative of -4*q + 0*q - 13*q - 18*q**t - 10*q wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times 31?\nAnswer: 65.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -549*a**5\/20 + 164*a**3\/3 + 5*a**2 - 11*a + 80. What is the second derivative of d(g) wrt g?\nAnswer: -3294*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -0.11, 3\/2, -523?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -28. Let t be 0 - (l\/3 - -3). Factor -2*f + t*f - 5*f - 2*f**2 + 3*f.\nAnswer: -2*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*t + 176. Suppose 1574*n - 1576*n + 2 = -196. Calculate the highest common factor of n and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 137328, 137663, 137998, 138333?\n\"Answer: 335*y + 136993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 5064297537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26823, 53096, 79355, 105594, 131807, 157988?\n\"Answer: -l**3 - l**2 + 26283*l + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -2 + -1 + -2. Which is the nearest to y? (a) 2 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6554011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**3*x**2 - 3*v**3*x - 29*v**3 - v**2*x + 3*x**2 + 1240 wrt v?\nAnswer: -12*x**2 - 18*x - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*b = -305*b - 60. Let v(l) = l - 24. What is v(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11011000111101 (base 2) to base 5\nAnswer: 421020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 13859640*f - 69298150.\nAnswer: -2*(f + 5)*(f + 6929815)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -310, -311, -312, -313, -314, -315?\n\"Answer: -u - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.9 + -22. Let x = s - -2.1. Which is the nearest to x? (a) 2 (b) -3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -541256*i**3 + 199962*i**2?\nAnswer: -3247536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + 34441?\nAnswer: 34431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.87 and 1657423367?\nAnswer: 1657423372.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4882820, -4882787, -4882756, -4882727, -4882700, -4882675, -4882652?\nAnswer: -4882631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 122, 490, 1092, 1922, 2974, 4242?\n\"Answer: -l**3 + 123*l**2 + 6*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6*408\/(-8). Let x = -24 - u. Let t(l) = -l**2 - 8*l - 7. Let m be t(x). Which is smaller: m or 2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23024358881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*14684\nAnswer: -4405.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -9*s + 371, 4*s + 2*o = -0*o + 160. Calculate the remainder when s is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -362 divided by 2\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 749 and 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/53867 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30862*s - 27583*s - 103693*s + 38978*s - s**2 - 126940*s.\nAnswer: -s**2 - 250100*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -16, 2536, -1, -3 in decreasing order.\nAnswer: 2536, 9, 0, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4 + 10. What is the units digit of 2*h\/12*62?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 6*v**2 + 11. Determine a(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 2*r**2 - r. Let c be h(-2). Let v = c - -43. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -11\/6*b**3 + 0 - 20*b + 31\/2*b**2. Find the first derivative of m(h) wrt h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*a*m**2 + a*m*s - 2*a*s + 8*a - 2*m*s + 4*s wrt m?\nAnswer: -14*a*m + a*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 smaller than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16*q + 20*q = -11, 2*p + 2*q = 2. Solve 0 = -p*l + 6, -3*l + 8*l = -5*g - 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87344690?\nAnswer: 2, 5, 8734469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 - 2*u - 17. Give c(10).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7353 and 14117.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 127076 = j + 4*c, 0 = 2*j + c - 254155. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 + q**2 - 24*q + 21. Let c be x(-7). What is the greatest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-135 - -142 - (0 + 6)) + -20.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 bigger than 868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7947, -7777, -7493, -7095, -6583, -5957, -5217?\n\"Answer: 57*a**2 - a - 8003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*k**2 - 76 - 16*k**2 + 109*k**2 wrt k.\nAnswer: 80*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*h + 12 + 20 = 0, 4*h - 26 = -m. Calculate the remainder when m is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79088? (a) 4\/7 (b) 0.5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Calculate d(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + -30. Let p = t + 144. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710033 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) - (-1472)\/80. Suppose j + r = -5*j. Let t = 12 + -5. Let p(q) = -q**2 - 3*q - 3. Let h(m) = -3*m**2 - 7*m - 7. What is j*h(k) + t*p(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/((-80)\/(-12)) - -1. Let z = 5.8 - -7.2. Let g = -48 + z. Is j less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 12*k - 3*k + 140 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2282.\nAnswer: 2, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 28034?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 143309506?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m + 8. Let b be g(3). Suppose 33*o - 24 = b*o. Suppose -2*l + 240 - 71 = -5*u, 2*u = o. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-80 - (1 - 2)) + -36 + 3 + -49 + 91\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2739 (b) 2 (c) 4\/3 (d) 1\/2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5\/5 - 9448*u**4\/5 - 7441873*u**3\/5 - 1957208401*u**2\/5 - 1951631719*u\/5 - 487443403\/5 = 0.\nAnswer: -787, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-344)\/1118*1\/(-2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g = -61*g - 35. Sort 9, -3, -2, g in descending order.\nAnswer: 9, -2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897248*u - 899679*u + 119119 = 0 for u.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4455 = -211*w - 1875 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 118 - 68. Let s = y - 48. Let a be (-1040)\/(-24)*(1 + s). Calculate the highest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0033 - -2.1267. Let m = -0.27 - b. Let a = m - -2.400022. Round a to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -2\/15, 1\/4.\nAnswer: -3\/2, -2\/15, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m**2 - 34*m - 163. Let f(g) = -4*g**2 - 17*g - 77. Let p(a) = 3*b(a) - 7*f(a). What is p(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-8))\/y*y*y*y\/((y\/(y**(-2)*y*y))\/y)*y)\/(y\/((y*y**(-3\/4)*y)\/y)*(((y\/y**(-3\/11))\/y*y)\/y)\/y))**50 assuming y is positive.\nAnswer: y**(-4425\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -51. Let l(j) be the third derivative of 1\/48*j**4 + 0 - 1\/240*j**6 + n*j**2 + 0*j + 0*j**5 + 0*j**3. Factor l(m).\nAnswer: -m*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*j + 2199 = 0, 0 = -t + 2*j + 397 + 143. Calculate the highest common factor of 14 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/58 + 77\/290. Let r = 99 + -53. Which is the closest to r? (a) h (b) 3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*l = -359*l - 2. Suppose 0*h + 5\/4*h**5 - 5\/4*h**3 + 0*h**4 + 0*h**l + 0 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 4 - -5 - (-7 - -25 - 4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 4*p + 0*p + (-19 + 19 + 9*p)*(4 + 0 - 2) - 4*p + p + p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.735712ml to litres.\nAnswer: 0.000735712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 92, -3, -0.5, 15.7, -1\/8, 1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 + 54*m - 256. Let r be f(6). Let z be 2 + (-2)\/(-6)*3. What is the units digit of 2 + z + r + 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-12))\/(((-3)\/9)\/(-1)). Suppose -v = 2*z + 13, -q*z + 3*z + 6 = -2*v. Let f be 15\/(2*(-9)\/12). Sort f, 5, v in ascending order.\nAnswer: f, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5*w + 520, 4*w - 84 = -7*n + 6*n. Calculate the greatest common factor of 60 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(2) - sqrt(40))*-6 - sqrt(40))\/(sqrt(32)*-4 + sqrt(162)*-2)*6.\nAnswer: 6*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12 - 0)*40\/110 and -93\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/9 (b) 50\/3 (c) -77.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 58272 = 78*g - 82*g, -58292 = -4*s + g. Round s to the nearest 100.\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1917 and 31851?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46951346, 46951344, 46951342, 46951340, 46951338, 46951336?\nAnswer: 46951334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1392, 2, 0 in descending order.\nAnswer: 2, 0, -0.1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.02, 3, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 0*x + 5\/24*x**4 + 7*x**2 + 0 + 1\/24*x**6 + 0*x**5 + 0*x**3. What is the second derivative of c(j) wrt j?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 0*t**2 - t**3 + 269 - 268 + 6*t**2 - t. Let i = -14 + 20. Give p(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5607 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.8 - 8. Let n = 0 - l. What is the closest to 1 in n, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 13*d - 12 = -4*p, -2*d = 4*p - 20. Suppose 32\/9*j**p + 0*j**3 - 34\/9*j**2 + 0*j + 2\/9 = 0. Calculate j.\nAnswer: -1, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-65) - ((-70)\/(-84) - (-2)\/12).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205016 and 504.\nAnswer: 1845144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3753*d**2*h**2 + 615*d**2 - 2*d with respect to h.\nAnswer: -7506*d**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k + 6. What is the tens digit of x(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31669049 to the power of 1\/2, to the nearest integer?\nAnswer: 5628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {i: 2, f: 1, q: 1, d: 4, a: 2, z: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 4. Let j = 13 + p. Let l(d) = -d**3 + 6*d**2 - 2*d - 5. Give l(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, -1\/19, 29, -672, 4\/3?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13\/83 (b) -1\/3 (c) -2\/7 (d) 45 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6.365788mg?\nAnswer: 6365.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {w: 1, z: 2, i: 3, k: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 48*a + 48. Let f(z) = 327*z - 68. Calculate y(f(l)).\nAnswer: -106929*l**2 + 60168*l - 7840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - o**2 + 12 - 7.\nAnswer: -o**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13399, 13437, 13461, 13465, 13443, 13389?\n\"Answer: -m**3 - m**2 + 48*m + 13353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + w**4 + 3*w + (0 + 0 + w)*(-5*w**3 - w**3 + 4*w**3) as s*w + b*w**2 + z*w**4 + m + v*w**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55.8 + 25.9. Let w = 30.3 + o. What is the closest to 0.8 in 3, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2. Let q(v) = -v**2 - 13*v + 4. Let u be q(-13). Suppose 3*t - 5*t = -u. Let c(k) = -t + 11*k**2 + 2 + 0*k**2. Give c(f(x)).\nAnswer: 44*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3890238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = -3*x. Suppose -2*y - 8 = -s, -3*y - x*y + 5 = 0. Let h be 2\/(-10) - (-42)\/s. Solve 2*t = h*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4684, 11305, 17926, 24547, 31168, 37789?\n\"Answer: 6621*d - 1937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1890 and 32\/1143.\nAnswer: 240030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725966 is divided by 362972?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1007)\/(-114) - (-49)\/42?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 48. Let j be n(17). Let w be j*24\/18 - -5. Let l be w\/(-4) + 42\/168. Solve p = -5*f + 7, p + 3*f - 3 + 0 = l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-6) - 4\/24. Let r be 4*(2 - k)*3. Let i = -3 + r. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 4*u + 20, 6*g = 3*g - 4*u + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2*x + 0*x)*(8 + 1 + 10).\nAnswer: 95*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/11 and -13\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*y + 64 = 82*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 233 - 210. Let l = y + -42. What is the nearest to -2 in -1\/5, l, -2\/19?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24770?\nAnswer: 2, 5, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -7*v + 2*o - 157, v - 5*o = 75. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1. Suppose 2*v = 5 - 1. Let s(j) = -5*j**2 - 17*j + 2. Let n(u) = v*f(u) - s(u). Find the second derivative of n(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.4050107 rounded to 1 dp?\nAnswer: 407.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Let p = 0.035 + 0.955. Let w = 2.99 - p. Is k less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*z - a, -2*z - 5*a - 10 + 1 = 0. Let s be (-315)\/(-12) - z\/(-8). Let k = -44 + s. Which is bigger: -17 or k?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162275.5l in millilitres?\nAnswer: 162275500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k\/(k*k*k**(-1)))\/k))*k)**(-5\/2)\/(k**(-2\/7))**(-5))**45 assuming k is positive.\nAnswer: k**(-450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 28 = -3*f, 7*f + 5*y + 35 = 68*f - 60*f + 2*y - 2*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2464, 2410, 2346, 2266, 2164, 2034, 1870, 1666?\nAnswer: 1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b + 24 = 0. Let f = -1 + 0. Let y(r) = -3*r. Let s be y(f). Solve s*h - h = -b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14036554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*a + 149 = -29, 0 = 4*k + a + 226. Let b be 17\/(-12) + 2 + 14\/k. Determine o so that b*o**3 + 1\/3 - 1\/3*o**2 - 1\/3*o = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10988130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -23850.\nAnswer: 1\/4770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**6\/120 - 11*g**5\/40 - 67*g**4\/48 + 7*g**3\/2 + 68*g**2 - 3. Find f, given that q(f) = 0.\nAnswer: -14, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6327.8 + -6328. What is the closest to -2 in 2, y, -5, -2.249?\nAnswer: -2.249","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0147 * -984.\nAnswer: 14.4648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from khwhkiiw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1518946 and -3\/47047.\nAnswer: 10632622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7599919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344674 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4*q - 3 - q + 3 - q - 2*q + 2*q + (q + 2 - 2)*(-4 + 1 + 2) + 2*q - 2*q + q)*(0*q - 2*q + 4*q) to the form m + o*q + k*q**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2764664, 2764286, 2763906, 2763524, 2763140, 2762754?\n\"Answer: -o**2 - 375*o + 2765040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 12:15 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - (-57)\/(-9). Let l = 9 + v. Let s(g) = -g**3 + 4*g**2 - g. What are the prime factors of s(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*l = 196*l + 2*r + 48, 143*l + 0*r - r = -95*l - 453 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + w**3 - 8*w**3 + 4*w**3 - 5*w**3 - 7*w**3 + 4*w**3 - 6*w**3 + 11*w**3 + 3*w**3 + (-w - w + w)*(4*w**2 - 3*w**2 + w**2).\nAnswer: -5*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33, 48, 275, 720, 1455, 2552?\n\"Answer: 12*w**3 + w**2 - 6*w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o + 6. Suppose -70304 = 5*b - o*b. Is b\/(-65) + 1\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - 0.24. Let n = -5.96 + 7. Let p = n + y. Is p < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568570013 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:41 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 7*g - 6. Let t(b) = 12 - b**2 + 27*b**2 - b**3 + 17*b + 3*b**2 - 12*b**2. Let o be t(18). Calculate l(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 8 = -5*h, 5*r - h + 20 = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -11220101202122121?\nAnswer: -11220101202122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.267 - 2.47. Round w to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31760 divided by -5\nAnswer: -6352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + c + 7, -1 = -600*n + 603*n + 2*c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/134090 and -55\/414.\nAnswer: 1206810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.74 + -0.26. Let n = -76 - b. Which is smaller: 2\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 998 - 1019. Suppose -4*l - 24 = 16. Let r = l - j. Solve -1 = -4*u + r, x + 1 = 2*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(-6*(sqrt(1573) + -1) + sqrt(1573) + sqrt(1573))*3)**2.\nAnswer: -2737152*sqrt(13) + 130657536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*f**3\/6 + 2923*f**2\/3 - 387562*f\/3 - 70756.\nAnswer: -(f - 266)**2*(11*f + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294456.4 litres to millilitres.\nAnswer: 294456400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16907, -16854, -16701, -16448, -16095?\nAnswer: -15642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -2.39773006?\nAnswer: -2.39773006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3722, -3723, -3726, -3731, -3738, -3747?\nAnswer: -3758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*o + 24*o - 10*o + 4*o - 3*o - 3*o + (-5*o + 3*o + 0*o)*(2 + 2 - 3).\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + i = 10, -2*f - 10*i = -9*i - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3574 + 3579. Solve 3*n + 28 = -d*h + 36, -2*n - h + 3 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 3. Let z = -5521 + 5523. Put z, d, -4, 1 in decreasing order.\nAnswer: z, 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*c + 1006 - 5659 = 0. Calculate the remainder when c is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7*n - 3)*(0*n + n - 5*n).\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h + 2*h + (-6 + 2 + 3)*(3*h - 3*h - 2*h) + 3*h - 5*h + 3*h + (-1 + 1 - h)*(5 - 3 - 3).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 5*m - 14. Let q = 34 - 30. Let t be z(q). Suppose -5*j = -27 + 72. Is j < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-18) - 8\/(-36))*(-5 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 4) to base 5\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + 44. Let i = -12 + o. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36075 is divided by 1803.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/14121797 or -1?\nAnswer: 2\/14121797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**3 - 108*i**2 + 540*i + 2700 = 0. What is i?\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0246 and 236329744.\nAnswer: 236329744.0246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3614051 + 15?\nAnswer: 3614066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v + 132. Let z be a(17). Suppose 0*g = -5*g - 2*r - 9, 4*g = 3*r - 21. Sort 13, z, 2, g.\nAnswer: z, g, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -116.9 - -116.7. Let r(u) = u**2 - 4*u - 4. Let q be r(5). Let d = 0.1 - -0.9. Which is the nearest to d? (a) v (b) -2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -833\/8 - -104. Let q = 10 + -8. Which is the nearest to q? (a) 5 (b) r (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h**2 - h - 1. Let p be g(-1). Solve 0 = p*a - 20, 0 - 9 = -5*o - a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*b)*(-100 - b + 406 + 14) + 3*b**2 - 3*b + 3*b.\nAnswer: 5*b**2 - 640*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -4.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 488, 481, 470, 455, 436, 413?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -112, -3, 1443 in descending order.\nAnswer: 1443, 2, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4478 to the nearest one hundred.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 6*s - 1. Let g be p(5). Let y be -2 - 1\/g*0. Suppose 0 = -21*h + 19*h. Sort h, y, 5 in decreasing order.\nAnswer: 5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 15*d**2 - 17*d + 16. Let p be n(14). Let z be (-1)\/(0 + 1)*(22 + 4). Are z and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 34*w**2. Let o be l(-1). Suppose 2*i + o = 210. Suppose 0 = -5*b - 0*p - 3*p + i, 0 = -b - p + 18. What is the highest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 3*n - 1. Let m = -14 + 23. Suppose -1 + m = 4*v. Give l(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4277 = 1502. Let m = z - -848. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/10*(-16 - (-688)\/48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80990731 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9939 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074358 times 0.1?\nAnswer: 0.0074358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93562 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q**2 - 16*q + 8. Suppose -4*d + 178 = o, -8*o + 7*o = 2*d - 90. What is the remainder when p(11) is divided by d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/2 - 924340*z + 427202217800.\nAnswer: (z - 924340)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/37 (b) -0.01 (c) 3 (d) -0.5 (e) 9 (f) -209\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 26 = -2*m - 3*c, 5*m = -c + 11. Let p(x) = -15 - 2*x + 6*x - x. Let z be p(6). Calculate the highest common factor of m and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45012408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/3 - 274*t.\nAnswer: -2*t*(t + 411)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1399 <= 14909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g = -43*g + 1196 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -77*h + 76*h - 20, 3*h + 69 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.2 - -3. Let v(o) = -o**3 - 5*o**2 - 4*o. Let z be v(-5). Let a = -17 + z. Sort u, a, 0 in decreasing order.\nAnswer: a, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.543 and 34576.\nAnswer: -18774.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2 - 34 = 0. Let u = 83296 + -83295. Sort -1\/4, -0.01, u, z in increasing order.\nAnswer: -1\/4, -0.01, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*v + 8366 = -180*v + 1944 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 38. Suppose -2 + 3 = -q. What is the units digit of (q + -1 + 1)*c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 412 - 416. Let f be 6\/x + 24\/64*-4. Sort f, 3, -6.\nAnswer: -6, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -105*w**3 + w**2 - 110*w + 34290 wrt w?\nAnswer: -315*w**2 + 2*w - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 5486*p**2 + 680465*p + 685952.\nAnswer: (p - 5359)*(p - 128)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16772 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + q. Let y be r(2). Let a = -4 - y. Sort a, 0, -3.\nAnswer: -3, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 4, -171?\nAnswer: -171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71178 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*s - 440*s - 399*s - 445*s - 445*s + 2168*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 + 18*p - 47)*(p**3 - 2 + 2) - 2*p**4 + 5*p**3 - 5*p**3.\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.728 and 0.24.\nAnswer: -0.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2939*b**5*v - 29673*b**2*v - 253124*b*v + 1735*b + 1 wrt b?\nAnswer: 58780*b**3*v - 59346*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iirrmiukkkuiik. What is prob of sequence kk?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t**2 + 3. Let b be d(0). Let f(q) = -2*q + b*q - 2*q + 9 + 2*q. Let o be f(-7). Solve s = -2*m, o*m + 11 = 4*s - m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 9. Let b be h(-3). Suppose -4*z - 3*d + d = -98, 2*d + 10 = b. Suppose 3*y - 24 = 5*j, -4*y + z - 3 = -4*j. Solve 0 = -3*f + 4*f + y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6501*c - 12758. Determine m(2).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-979)\/77 - -14 - 1887\/2023?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = -5*q - n, 2*q - 192 = -0*n + 2*n. Is 3\/(-2 + q\/48) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -758 times -936.25?\nAnswer: 709677.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42260969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38555, 38567, 38579, 38585, 38579?\n\"Answer: -h**3 + 6*h**2 + h + 38549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/((-4)\/6) + 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.80253 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -38 and -0.2?\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.7, -0.1, 1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yby when three letters picked without replacement from bbbbbbybybbbybbyby.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1716647.73 - -0.350174.\nAnswer: -1716647.379826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/5, 0.1, -29, 1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k + 2. Determine j(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-12))\/(-9)*-16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48860*q**4 - 858*q**2 - 25*q?\nAnswer: 1172640*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3*(-4)\/(12\/9). Let l(x) = 3*x**2 - 7*x - 5. List the prime factors of l(g).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from {k: 3, v: 1, h: 9, w: 1, a: 3, p: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81777640 by 16355528.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by (-4)\/18 + (-1850)\/(-225)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 884*k - 899*k = 45 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32320.6425474 - -32041.642547861. Let g = x - -279. Round g to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4 = -3*h, -8*v - 14 = 2*h - 11*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -9.91. Let f = o - 4.91. Let a = f - -4.99999995. Round a to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 59?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*r + 29 = 10, 2*f + 4 = 4*r. Solve -d - f = -3*i - 3*d, -5*d + 33 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 73 and 6.5445 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -93737948, -187475893, -281213842, -374951795, -468689752, -562427713?\n\"Answer: -2*y**2 - 93737939*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 83 = -5. Suppose -69 = -4*c - 241. Let q = c - -65. What is the greatest common factor of y and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504789478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 5 + -3)\/3. Let g be -1 - 2\/4 - 986\/(-580). What is the second smallest value in l, g, -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/80*(-150)\/(-45). What is the closest to 1\/5 in -4, 2, 16, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(162))**2*4 - (2 + sqrt(6)\/sqrt(3) + (sqrt(16)\/sqrt(4))\/sqrt(2)).\nAnswer: -2*sqrt(2) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/213 = 0.11068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 3575264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102 - -716\/7. Let u = -0.9 - -1.1. Let h = -0.23 + -2.77. Which is the closest to 1\/4? (a) h (b) x (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/2 - 104*l**4 - 4929*l**3\/2 - 15046*l**2 - 4766*l + 91080 = 0. Calculate l.\nAnswer: -11, -9, -4, 2, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2\/3, -2, -37, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/53 + -92\/371. Let f = 19.4 - -0.6. Let p = f + -19.7. Which is the biggest value? (a) -5 (b) 2 (c) p (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*q + 16. Suppose 0 = c - 13 - q. Suppose -24 = -4*t + c. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1af0c + 3?\nAnswer: 1af0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from {k: 3, l: 1, i: 1, f: 3, w: 5}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 8:37 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 6 + 6 - 12 - 5*v + v**2. Let w be i(5). Suppose 4*c = -0*c - a + 33, -c - a + 12 = w. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -4 - (-22 - (-12 + -9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1300 divide 231628895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((-12)\/(-9) + -1). Suppose -2*y - 3*h = 2, -2*y + 4*h = 3*y - 18. Suppose y*w - 8 + 2 = p. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82693 is divided by 1303?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82\/3 - 27. Let j(i) = -i + 109. Let s be j(0). Suppose -111*f = -s*f. Which is the closest to u? (a) f (b) 1\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: 59 - ((-1 - 4) + (107 - 122) - (1 + -14))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2089057891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10273719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 0.1. Let f = n - 0. Let k be (-2 + 2)\/(-1) - 18\/(-24). Which is the nearest to -2\/9? (a) k (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-6) + 6\/9. Let l(d) = d**2 - 2. Let u be l(i). What is the highest common factor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/((12\/(-4))\/(-3)). Suppose 5*w = 2 + y. Solve 15 = 2*d + d, 2*q + 27 = w*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/60 + m**4\/12 - m**3\/2 - 5*m**2. Let w be h(-3). Let y = -39\/25 + 1652\/1075. Is w equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996256, -996255, -996254, -996253?\nAnswer: -996252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -77\/39?\nAnswer: -77\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 - 3*j**2 - j - 2. Calculate g(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/33)\/(s**(-5\/11)*s) assuming s is positive.\nAnswer: s**(-20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-6)\/(-12)*(-64)\/(-56).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3)*(-1 + 2 + 1)*(o**3 - 3*o**3 + 3*o**3).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -1\/7, -556, 1\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*c - 12*c + 2*p - 19, 4*c - 4*p = 4. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01776 to 4 decimal places.\nAnswer: -0.0178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) 7 (b) 0 (c) 11 (d) -1\/4 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 28 = -3*d, -w + 4*w + 4*d = 11. Suppose -116 - 84 = -w*p. Let z = p - -5. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2471118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -828 or -798?\nAnswer: -828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7150 (b) 38\/3 (c) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 74\/12 + 100\/(-20). Let p(k) be the first derivative of -s*k**6 - 1 + 0*k**5 + 0*k**3 + 0*k + 0*k**4 - 3*k**2. Find the second derivative of p(a) wrt a.\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549529721 to the power of 1\/3, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -1)\/(88 + -89). Let c(a) = -a**2 + 12. What is c(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2638, 0, -1371, -1 in decreasing order.\nAnswer: 0, -1, -1371, -2638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24453?\nAnswer: 3, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 649, 607, 531, 415, 253, 39?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-1575)*(-102)\/136.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 14*i**2 + 7*i + 143. Is f(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*x - 19 = q, -5*q = -3*x - 35 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2188 divide 43884143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 945 and 18711?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 445 - 195. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/18*((-15)\/(90\/348) + -8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230245 is divided by 242.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x. Let l(f) be the first derivative of -7*f**2\/2 - 26. Determine l(j(d)).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 298 + 25. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 - -127. Let s = 55 - 39. What is the least common multiple of s and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*o + 220 = -127*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30918 * -212.\nAnswer: -6554616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*y - 8. Let z(v) = -45*v + 48*v - 1 - 4*v**y + 5*v**2. Suppose -2*d = -3*o - 2*o + 3, 2*d - 2*o = -6. Give z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + a. Suppose 34 = 78*f - 112*f. Let l(o) = -45*o**2 + 6*o. What is f*l(t) + 4*b(t)?\nAnswer: 41*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c + 7 = 0. Suppose -5*l - 4 = -c*l. What is the units digit of 37\/l + 4\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12668 and 3556541.\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 0, -32, -2 in ascending order.\nAnswer: -32, -2, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -13*x**2 + 4*x + 7. Let k(w) be the second derivative of 3*w**4\/4 - w**3\/2 - 5*w**2\/2 - 138*w - 1. Suppose 15 = p - 4*p. Give p*o(g) - 7*k(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -8. Let i = 1.9 - -2.2. Let o = i + u. Is o >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u + 66 = 106 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2240, 2246, 2256, 2270, 2288, 2310, 2336?\nAnswer: 2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1385 (base 15) in base 12?\nAnswer: -24bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*q - w, 0 = 7*w - 10*w. Differentiate q + 44*x + 74*x + 33*x wrt x.\nAnswer: 151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4526?\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/35 + (-746)\/(-10) + -11 + 14. Solve 7*s + p = -4*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31\/38 + 6\/19. Let p = 1095 + -1094. Put p, s, 0.5, -5 in descending order.\nAnswer: p, 0.5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/46785 and 76\/45.\nAnswer: 140355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -61411, -122795, -184173, -245551, -306935, -368331, -429745, -491183?\n\"Answer: -z**3 + 9*z**2 - 61404*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4300411416 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -4, 0.5, -17.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**4\/2 - 6750*c**3 - 1730629*c**2\/2 = 0 for c.\nAnswer: -127, 0, 13627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 5*y - 3*y)*(3 - 1 - 4 + (-3 + 2 + 2)*(-3 - 1 + 3) + 0 + 0 + 1 + 0 - 5 + 3 + 96 + 275 + 486).\nAnswer: -1706*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-8))**(-46)*l**(-30)*l**(1\/4) assuming l is positive.\nAnswer: l**(-1775\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let j be -1 + -1 + 8 + -6. Suppose j = w - 1 - t. Solve -w*c = -d + 10 - 2, 0 = 3*d - 5*c - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 676489 and 33.\nAnswer: 22324137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 11 = -17*i + 14*i, -d = 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (0 - (2 - 1)). Suppose r + 6*r = -11*r. Solve -8 = -v*u - r*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 + 49*k + 24. Let l be r(-19). Find the common denominator of (-3)\/(-2) + l\/(-40) and -61\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -10, -1183, 3, -2, -1 in increasing order.\nAnswer: -1183, -10, -2, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxeexyjqxexeqyqxx. What is prob of picking 1 x, 1 q, and 1 e?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 6*c**2 + 10*c + 12. What is l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1204 (base 5) to base 6\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(19800\/(-192)))\/(-3*(-4)\/(-30)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 8. Let a be (-37)\/(-13) - m\/26. Factor -3*v - 3*v - 2*v**2 - v**2 + 0*v - a.\nAnswer: -3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.866 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 258 - 258. Suppose j*h - 2*h = -1360. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 3060?\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 3*b**3 - 21*b**2 - 15*b - 28. Factor s(j).\nAnswer: 3*(j - 5)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 + 5*b**2 - 3*b + 2. Let m be s(2). Let q(t) be the first derivative of -5\/3*t**3 + m*t + t**2 - 3. Find the second derivative of q(i) wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = v + 2*o - 6, -12 = -2*v - 3*o. Let r(n) = 7*n + 131. Let t be r(-18). Calculate the least common multiple of (-245)\/(-14) + t\/(-10)*1 and v.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1116 = 206*i - 205*i, -6*o + 1700 = -5*i. Calculate the remainder when o is divided by 103.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*c + 299*c = -5110 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17426712.\nAnswer: 2, 3, 31, 59, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2\/5*a**3 - 2\/5*a**4 + 32\/5*a**2 + 0 + 32\/5*a = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.2, -4, -166, 32 in descending order.\nAnswer: 32, -0.1, -0.2, -4, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17747 - -29911. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {v: 7, h: 3, y: 4, a: 3, i: 3}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(128\/(-108)) + (-18)\/48. Solve 4*g = 2*v - 0 + 12, 3*v = 3*g - x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/21*2\/4*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3578650 or -3578649?\nAnswer: -3578650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 1\/4, -1\/6, 4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 + 48. Suppose -l*i + 56 = 4*r, -3*i + 22 = 4*r - 18. Solve -z + 4*m = -2*z + 2, i = -5*z - 2*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-2 + -10 + -3 + 8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 499956811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/15 and 37\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.7 - -2.9. Let w = 188\/3 - 64. What is the closest to 0 in k, 2\/3, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1406976.7 to the nearest 10000.\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/11*x**2 + 6\/11*x - 72.\nAnswer: 6*(x - 11)*(x + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 6347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 10*m**2 + 6*m + 6. List the prime factors of b(-7).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y - 2. Suppose -o + 3*v - 196 = -6*o, v + 74 = 2*o. Let n = 37 - o. Let b be u(n). Which is greater: b or 31\/3?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000183386 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -25. Let z = 4 + v. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/561144?\nAnswer: 1\/561144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + 64. Let m(x) = 7*x**2 - 35*x + 53. What is the lowest common multiple of m(3) and c\/9 + 6\/27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -23. Let f = -13 + m. Suppose 660 = f*s + 4*i, -2*s = -s - 2*i - 220. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1088 = 3*f - f. Let c = f + 1376. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*a + 42. Let y be a\/9 - 2\/(-3). What is the second biggest value in 2, 0.5, y, 2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 26*p**2 - 320*p - 115. Give x(-35).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8008 by 1.\nAnswer: -8008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 11*h**2 + 3. Let y be l(11). Solve -4*f - 4 = 4*z, 3*z + y = 4*f - 28 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/((-15)\/(-21)) - -3*301\/126?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 829 + 197 = 163*q + 8*q. Solve -q*n - 23 = -65 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25650, -102652, -230974, -410604, -641530, -923740?\n\"Answer: 2*a**3 - 25672*a**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(833) + sqrt(1088)*-6)**2 + (sqrt(153) + 6*sqrt(153) - (-4 + sqrt(17) + -1)).\nAnswer: 20*sqrt(17) + 80942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 64*c**2 + 104*c - 11152. Determine n(65).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 6:22 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3326)\/20 + 7\/(-14). Let o = l + 166. Suppose -3*c + 25 = 2*c. Put o, c, -5 in descending order.\nAnswer: c, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -654\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91 (base 11) to base 6.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/12522 and -8\/21.\nAnswer: 87654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 - 1)*(-4 + 3 + 6)*(-22 + 41 - 20 + 152*m)*(3*m - 2*m - 2*m) to the form n + u*m**2 + x*m and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6331 and 793?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**2 + 6*z - 4. Suppose q + 0*q = -17. Let g = q + 19. Let f be s(g). Sort -3, f, -5 in increasing order.\nAnswer: f, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**2\/2 + 16*g - 76. Let t = -4 - -4. Let r be z(t). Solve 5*n = -b - r, 2*n + 2 = -b - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-6 + 0 + 20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 73*t**4 + 2 + 2*t**2 + 6*t**3 + 71*t**4 as j*t + y*t**4 + x + o*t**2 + z*t**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45093236?\nAnswer: 2, 71, 83, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, and 1 p when three letters picked without replacement from aapxnaap.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-854)\/(-12) - (-5)\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9657 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321 - 316. Let c(b) = -b - 4. Let u be c(-7). Suppose f*y + u = 2*y. Put -2, -5, y in decreasing order.\nAnswer: y, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3 + 624*x**2 - 257090*x = 0.\nAnswer: -547, 0, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4495 to the nearest 100.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 27. Let b = -27.1 + t. Suppose 5*h - 24 = -9. Sort h, b, 2.\nAnswer: b, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-2 - 0) + (83 - 90).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -38*b. Let c(p) = -p**2 - 7*p - 5. Let s be c(-2). Suppose 10*k - 70 = s*k. What is the remainder when h(-1) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*z**5 + 14*z**3 - 999*z**2 - 2491*z - 89?\nAnswer: -120*z**3 + 84*z - 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2110099 - 645*k + 2110099.\nAnswer: -645*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) - (-208)\/20. Let v be (-2)\/z - 343\/35. Is 3 a factor of 4\/v*(-9 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -54, 2\/5, 0.02 in increasing order.\nAnswer: -54, 0.02, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -7*c**3 + 2*c**2 + 2. Let q(x) be the third derivative of -3*x**6\/4 + 9*x**5\/20 + 9*x**3\/2 - 2*x**2 - 36*x. What is 27*o(f) - 2*q(f)?\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/9*(3 - 2). Let r = -1 + 1. Factor 1\/3*c**4 + 1\/3*c**3 - 1\/3*c**2 - d*c + r.\nAnswer: c*(c - 1)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:25 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -5\/14 (c) -2\/5 (d) 0.4 (e) 18\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 1, d: 1, o: 7, g: 5, w: 5}. What is prob of sequence uw?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.1 and 0.22.\nAnswer: -0.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 + 49*a - 1985. Give c(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -211? (a) -0.3 (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -279*r**2 + 90*r + 183. Calculate f(-2).\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3101 is divided by 455.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*b = -140*b - 115 + 381 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 25*z**2 + 10*z + 15. Let k be b(-6). Suppose -3*i - k = -8*i. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504398459 and 1046?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2375, -5, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -4*b - 6*b. Let p be 3 - (-56)\/b - (-9)\/2. Let r be (-4)\/(-3 - (-3)\/3). Solve -3*k - p*z = r - 10, -z = -5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(55) - sqrt(495)))\/sqrt(5).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -237*v**2. Let y(k) = -3038*k. Determine y(p(z)).\nAnswer: 720006*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x + 1 + 8*x - 1 as h + k*x and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -391, -401, -409, -415, -419?\n\"Answer: n**2 - 13*n - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 166*m + 171. Let o be w(-1). Which is the third smallest value? (a) -45 (b) 4 (c) o (d) -2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 + 2*b + 1. Let i be t(3). Let q = i + 52. Suppose -q*f - 124 = -719. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 7*c**5\/15 - 88*c**2. Let q(b) = 57*b. Determine l(q(f)).\nAnswer: 90972*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 5}. What is prob of sequence cu?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 898.2007ml?\nAnswer: 0.8982007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - p + (4*p - 3*p - 2*p)*(-1 + 0 + 3) + 48*p - 71*p + 2 + 0.\nAnswer: -26*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -150 and 0.232?\nAnswer: 150.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7622967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 195294*h + 195296*h = 119, -34*u - 81 = -3*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 1821, -4, 6, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*q + (2*q - 2*q - q)*(3 - 4 + 2))*(-1274 + 34 - 596).\nAnswer: 5508*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1541078.\nAnswer: 2, 7, 11, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/239 or 1?\nAnswer: -4\/239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**3 + k + 2*k**2 + 172 - 172. Suppose -25 = -4*y + 2*r - 5, -5*y + 12 = 4*r. Suppose -n = -y*n - 3. Calculate h(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -5*v + 4*p, -2*v = -v + 3*p + 2. Let w = -6 + v. Let o = -7 - w. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.27 + -73.73. Let x = t + 74.999965. What is x rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 180761*f**2 - 180761*f**2 - 2230 - 1038*f**3 wrt f?\nAnswer: -3114*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4401*l**2 + 8237*l**2 - 4886*l**2.\nAnswer: -1050*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {r: 2, f: 5, t: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 996050\/145257 + -2\/145257. Find q, given that -80\/7*q - 4\/7*q**3 - 36\/7*q**2 - n = 0.\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7354, 6897, 6136, 5071, 3702, 2029?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2. Let w(s) = -26*s**2 + 103*s - 7. Let h(n) = -8*n**2 + 35*n - 2. Let o(a) = -7*h(a) + 2*w(a). Give o(r(z)).\nAnswer: 16*z**4 + 78*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10731 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 128*z**2 + 3532*z - 3400.\nAnswer: -4*(z - 17)*(z - 1)*(z + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*d + 14*d - 2485 = 65*d - 44*d for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 + 91*q + 31. Let o be c(-22). Let n = 77 + o. Suppose -126 = -5*s + 2*s. Calculate the highest common factor of n and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 8478673.\nAnswer: 1102227.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 6. Let h = 6 + -2. Suppose 12 = -0*p - h*p. Let x be q(p). Let l(c) = -c**3 - 5*c**2 - 3*c - 4. Determine l(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a litre in millilitres?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2 + 2*i - 15. Let d be m(-6). Let c be d\/(-15) + (-28)\/35. What is c rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 148 and 135 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 1. Solve -13 = -c*y + 3*f, -y - 3*f + 6 = -f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*r + 8*r - 210 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 180 = 5*b + 187, 0 = -5*r + 45 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 5218. Let s(f) = -3*f**2. Calculate t(s(j)).\nAnswer: -6*j**2 - 5218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -196\/9 smaller than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 4. Let a be j(2). Let v(w) = -w + 1. Let q(r) = -21*r + 2. Let i(x) = a*v(x) + q(x). Let g(f) = 2*f**2. Give i(g(l)).\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0 - 5*k - 3*k + 2*k + 2*k**2 - 2. Let m = -30 - -35. List the prime factors of a(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844631909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -78312 divided by -5?\nAnswer: 78312\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = 2*s. What is the derivative of 1 - 3*f**3 + 3 + s wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + -1 - (-15 - -17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -43*d**3\/6 - 8*d**2 + 26*d. Differentiate y(t) with respect to t.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - n)*(0 + 6 - 2)*(0 + 1 + 1)*(n - 5*n + 3*n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-24)*y*y\/y**24)\/(y**10)**(-2\/15) assuming y is positive.\nAnswer: y**(-134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 149333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1 - (1 + -756 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 90 = a. Let n be (-26)\/(-10) + 12\/a. Suppose n*r - 5*r = 2*x - 108, 0 = 2*x - 5*r - 80. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/4 and (-1 - 5) + ((-42740)\/2880 - -21)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 1669*f**6\/24 - 2041*f**3\/2 - 2*f**2 + 8*f + 27. Differentiate a(y) wrt y.\nAnswer: 25035*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by 34.\nAnswer: 49\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 3. Let r = m - -10. Let o = 0.0577 - -2.9423. Sort r, 2, -0.5, o in ascending order.\nAnswer: -0.5, 2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5 + 3*q + q + 9*q**2 + 8*q**2 + 0. Let a be m(-5). Suppose -s = -3*k + 224, -3*k + a = 2*k + 5*s. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -33. Let v = -8 - -11. What is the greatest common factor of i and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*a = -25, -2*k - 86 = 2*a - 96. Let y = -15 - -22. Suppose c = y*c - 18. Calculate the remainder when k is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 28 + 33*v + 5 + 11.\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4802804?\nAnswer: 2, 1200701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z + 1. Let g(n) = n**2 + 10*n + 12. Let a be g(-9). Let l(x) = 0 + a - 3*x + 0*x - 2*x. What is -l(d) + 3*v(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1965 - -1947.61. Let c = -14.86 + -1.74. Let z = l - c. What is z rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.15 + 4. Let u = q - -0.1. Let h = u + 0.19. Round h to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14)\/(((-6)\/4)\/(1407\/(-402))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -27 - 41. Let c = o - 9. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139767771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2cae4 (base 16) to base 9\nAnswer: -308036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28192 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(32748*x + 17939*x - 2857*x).\nAnswer: -47830*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 21*m - 13. Let h(a) = 5*a - 3. What is 9*h(u) - 2*w(u)?\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 10.2, 2\/621, 0.13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*u**2 - 188*k**2 + 8*k*u + u**2 + 4*u wrt k.\nAnswer: 2*u**2 - 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 5*s**2 - 3*s - 5. Suppose 4170 = 34*z + 4272. Give f(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 27 - 37 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7367566 smaller than 7367529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2691 (base 11) in base 12?\nAnswer: -2028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 17 + -1 + 48*10\/(-40). Factor -2*x**2 + 1\/3 - x**w + 0*x + 8\/3*x**3.\nAnswer: -(x - 1)**3*(3*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*k = -67*k + 30. Let b = 0 - 16. Let q = k + b. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 121 = -4*z. Calculate the remainder when (-2054)\/(-14) - (-28 - (-6032)\/203) is divided by z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k*l**5 - 3*k*l**4 + 60*k*l**2 - l**5 wrt l?\nAnswer: -120*k*l**2 - 72*k*l - 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 13*a**6\/3 + 4*a**3\/3 + 29. Find the third derivative of t(i) wrt i.\nAnswer: 1560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - 7) - (-209 - -206)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(5) - sqrt(10)\/sqrt(2)))**2 + sqrt(15)\/sqrt(108).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, q: 5, i: 1}. Give prob of picking 2 q, 1 i, and 1 f.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439 = 33*z - 340 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + 80 = 0. Let u be (16\/(-6))\/(-4)*3. Let k(d) = 20*d**2. Let v be k(u). What is the greatest common divisor of c and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.9 + -17. Which is the closest to -2? (a) x (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 7:02 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*g - 2*h, -g - 6*h + 2*h = 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 10*w)*(0*w - 4*w + 3*w)*(5 - 2 - 2).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/15 - 4\/(-6). Suppose 0 = 4*w + 2*i - 38, -3*w - 6*i = -5*i - 28. Let q be ((-21)\/9 + 1 + 2)*w. Solve 4*t - q + 18 = k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 c when four letters picked without replacement from {q: 4, m: 3, c: 2, g: 3, d: 7}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + (-13)\/((-130)\/14700) - -6?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -5*q**2\/2 + 2*q - 120. Let i(a) = 3*a. Give i(y(n)).\nAnswer: -15*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*f + 52 + 20. Sort f, -3, 6, -1.\nAnswer: -3, -1, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7493 divided by 4.\nAnswer: 7493\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + 304\/14. Suppose h = 5*p - 3. Let f be (-22)\/(-20) - 1\/2. Which is the third smallest value? (a) 0.4 (b) f (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7136 = 13*n - 25910. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42305 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 463 + 3305 = 0. What are the prime factors of m?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 + 99. Sort p, 3, 7 in increasing order.\nAnswer: p, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavavbab. Give prob of sequence vvbb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9264 + 27790\/3. Is p less than 2\/7377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 + 55*u**2 - 15*u**2 - 41*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 1616521148.76.\nAnswer: -1616521143.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227574259 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 4*d + 15, 3 = -10*d + 9*d - u. Suppose 8*f - 2579 - 741 = d. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5 + 339764*s**4 - 1359204*s**3 - 7135380*s**2 = 0 for s.\nAnswer: -84945, -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - 1. Sort 0.2, j, -2\/5 in descending order.\nAnswer: j, 0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 1. Let u = 20 + m. What is the greatest common divisor of u and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000281434 rounded to 7 dps?\nAnswer: -0.0000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 189765*u**2 - 79100*u.\nAnswer: 379530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4095 = -38*l + 31*l. What are the prime factors of l?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165561*p**4 - 46014204.\nAnswer: 662244*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*l - 1470, 355 = l + 3*o + 79. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(2)*4 + -3) + -4.\nAnswer: -8 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 6*w + 16. Determine r(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5125191g?\nAnswer: 512519100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let n(k) = -4*k**3 + 6*k - 1. Give -2*n(v) - 10*q(v).\nAnswer: 8*v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let l(a) = -8*a + 11. Let d be l(5). Let o = d + 34. Suppose -b + o*b = 4396. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4408*c + 867362 = 3961*c - 86704 for c.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9739.859 minutes in seconds?\nAnswer: 584391.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 + 15*k + 24. Calculate c(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/6)\/(2350\/393390). Solve -a = -4*s - 271 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Let v(y) = 3*y + 2. Let n(s) be the first derivative of -s**2\/2 - s - 4. Let x(l) = g*v(l) + 7*n(l). What is x(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224157.\nAnswer: 3, 74719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f = 5*s + 15, -2*s = 6. Suppose f*j + 3*j = 3*g + 36, -4*j = 5*g - 93. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let k be (-6)\/((-170)\/(-20) + -7). Put 0.056, k, c in increasing order.\nAnswer: k, c, 0.056","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 112122?\nAnswer: -112111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 5}. Give prob of picking 2 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-19)\/(-8)*(18 + 4). Let o = x + 52. Let w = -0.4 + 0.1. Which is the closest to o? (a) w (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 16 = 5*r, 0 = 14*r - 16*r. Suppose 12*n = u*n + 2976. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, t: 1, a: 1, d: 1, n: 1}. What is prob of picking 1 m and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t + 149107 - 149111 + t + 7*t**2. Let p(m) = -15*m**2 - 17*m + 9. Give 9*h(g) + 4*p(g).\nAnswer: 3*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/42 and 83\/2778.\nAnswer: 19446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*j = 232*j - 1304. Which is the third smallest value? (a) -1.2 (b) -4\/7 (c) j (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -211 - 205 + 208*b + 418 + (36 - 136 - 62)*(-3*b + b + 3*b + (6 - 1 - 3)*(-2*b - 3 + 3)).\nAnswer: 694*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -195, -220, -285, -408, -607, -900, -1305, -1840?\n\"Answer: -3*d**3 - 2*d**2 + 2*d - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95178?\nAnswer: 2, 3, 29, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -0. Suppose -3*x = -4*f - 6, -f + 2*x = 4*x - 4. Is f\/y - 2 - -36 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/2 (b) 1 (c) 815289\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3313290 and 181398.\nAnswer: 3702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) + (47385\/156)\/45?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-30)*2*-1*625\/(-500)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 112*b - 77*b + 333 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - 30980\/(-660)) + ((-9)\/(-3) - 5)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/3 of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6604 a factor of 683401732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3807?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19467, -0.4, 1\/2, -33.\nAnswer: -33, -0.4, 1\/2, 19467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 1, v: 1, r: 4, y: 6, p: 1}. What is prob of sequence pk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x + 17*x = -16*x - 10. Let s(r) be the third derivative of -15*r**x + 0*r - 1\/96*r**6 + 0*r**4 + 0 + 0*r**3 - 1\/16*r**5. Let s(v) = 0. What is v?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37042384 - -2.951652.\nAnswer: 37042386.951652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -5065960.\nAnswer: -1013192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) -5 (c) -0.03 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 - t + 1. Let u(c) = 8*c**2 + 5*c - 5. Let v(j) = u(j) + 5*x(j). Let n(a) = 43*a**2 - 3. Give n(v(k)).\nAnswer: 172*k**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b**2 + 41*b + 2*b - 3*b**2 - 3*b + 18*b**2 - 9*b**2 - 42*b.\nAnswer: -7*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - -2.95924151?\nAnswer: 3.85924151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14474 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: What is the smallest common multiple of 120342 and 15114?\nAnswer: 303141498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/1550430 and -139\/7131978?\nAnswer: 35659890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 12:50 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 67.2 times -0.2\nAnswer: -13.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 25?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59063 + 59063 + 381*w to the form n + y*w and give y.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39\/7 + 5. Let z = 8 - 29. Let i = z + 18. Which is the closest to 0.1? (a) i (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381405 is divided by 696.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -619, -1237, -1853, -2467?\nAnswer: -3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 3) to base 4\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1769, 1828, 1911, 2024, 2173, 2364, 2603?\nAnswer: 2896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**3 - 2*m**2 + 6*m - 3. Let f(p) = 5*p**3 + p**2 - 5*p + 2. Let x(g) = 5*f(g) + 4*s(g). Let j = 47 - 43. Determine x(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*v - 36*v - 7*v + 2*v + 7*v to z*v + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 25*o**2 - 2*o + 14. Let j be c(10). Let q(x) = 14*x - 23 + 32 + x - j*x**2 + 25. Let s be q(-14). Round s to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y**4\/8 - 11793*y**3\/8 - 1140201*y**2\/4 + 2640161*y + 412920 = 0.\nAnswer: -620, -296, -2\/13, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) -0.2 (c) -202 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b = -22*b - 492. Let d = 116 - b. Calculate the highest common divisor of d and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**2))**(-4\/9)\/(i**(-1\/12))**(-2\/7) assuming i is positive.\nAnswer: i**(109\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*d + 21, -4*d - 32 = -5*q - 1. Suppose -3 - 6 = -3*p. Let z be 8\/6 - 1\/p. Solve 2*x - 7 = -q*s + z, -4*s + 4 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 26. Let j(h) = -2*h + 9. Give 17*j(y) + 6*p(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*y + 19 - 19)*(-y**2 + 0*y**2 + 3*y**2) - 5*y**3 - 3*y**3 + 6*y**3 to the form g*y**3 + l*y + z + m*y**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 0 - 1\/6*v**3 - 3*v + 0*v**5 - 2*v**2 + 0*v**4 - 1\/40*v**6. Let u(k) be the first derivative of m(k). What is u(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 4585 + 2219. Suppose 2*y - 6*y = -4*u + q, y = -2*u + 363. What is the greatest common factor of 23 and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 11*t**2 - 18*t + 2. Let j be y(9). Solve f + 2*v = -3*v - 24, -j*v = f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1.18, 0.7 in decreasing order.\nAnswer: 0.7, -0.1, -1.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 0, 2*a + 0*a = w + 3. Let x = w - -4. Sort 4, 5, x in descending order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypza when four letters picked without replacement from {y: 1, p: 1, z: 7, a: 4}.\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 138\/12 - 2\/(-4). Let l be 3*(3 - 5)\/j. What is the smallest value in 2\/3, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.63 + -24. Let n = 15899.970019 + -15899.6. Let s = v + n. Round s to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7800 + 885*f - 7800 to the form l + r*f and give r.\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 + (-13 - 167) + 101.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/630 and 17\/1001.\nAnswer: 90090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 28 - 36 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 - 63. Let r(u) = 16*u**3 + 13*u**2. Let b(t) = 15*t**3 + 14*t**2. Let y(s) = n*r(s) + 3*b(s). Find the third derivative of y(l) wrt l.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34443241 (base 6) to base 12\nAnswer: 433521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 11*q + 2. Let z be t(-11). Let n(r) be the first derivative of -r**2 - z + r - 1\/3*r**3. Calculate n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.1. Let s = -9 + 6. Let z be s - -1 - (-7)\/2. Which is the second biggest value? (a) z (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 6, r: 4}. What is prob of picking 2 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1618 - -1618.7. Which is the nearest to 7\/5? (a) -1 (b) -0.3 (c) h (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17783426*h - 15895226 wrt h?\nAnswer: -17783426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuivoiuonnaa. What is prob of picking 2 o and 1 a?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00643670428 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*0\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:59 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14 - (-551)\/532?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25097, 100199, 225297, 400391, 625481, 900567, 1225649?\nAnswer: 1600727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1. Suppose 0 = u, -2*z - 3*u + 2*u = -72. Let s(w) = w - 20 - 15 + z. What is 3*b(o) - s(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - a**2 + 3*a**2 - 35886213*a - 6*a**2 + 35886213*a + 3*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/((-1605)\/(-18)))\/((-2)\/(-30)). Let y = 5529\/428 + m. Find the common denominator of 53\/11 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10850269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:06 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 546 divide 225094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.499 litres in millilitres?\nAnswer: 71499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -726 take away 1209?\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*3*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) -10\/9 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 403\/39 + (-1)\/3. Let j be (-9)\/(-4) - (-3)\/(-12). Let f = j + s. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.42355 millennia in years?\nAnswer: 87423.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 8*z - 2. Let u(d) = -d**2 - d + 1. Let o(w) = -q(w) - 5*u(w). Let l(b) = 3*b + 2*b + 5 + 0 - 7*b**2. Calculate -3*l(g) - 5*o(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 0.05716.\nAnswer: 0.45716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.26? (a) 2\/25 (b) -300.5 (c) 3 (d) 6 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**2 - 1. Let k(j) = -45*j. Let d(g) = g. Let s(f) = -110*d(f) - 2*k(f). Give l(s(c)).\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -263, 312, -1\/15, 0.2?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 128\/388741 or 0?\nAnswer: 128\/388741","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/6 - (-1)\/(-2). Suppose 4*b = 5*z + 87, -5*z + 5*b = -0*z + 90. Let k = r - z. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*n + 20, l - 8 - 18 = -2*n. Suppose -n = 2*w - 28. Suppose -w = -4*f + 4. Solve -2*t - f = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1407 - -257. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**2 + 2*v**2 + (0*v + 0*v - 2*v)*(-v + 5*v - 5*v))*(-4*v**3 + 2*v**3 - 5*v**3).\nAnswer: -28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 16*f - 18*f + 2 = 0, 0 = 5*c + 3*f - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/3 + 32*g**3\/3 - 10*g**2 - 32*g\/3 + 31\/3 = 0.\nAnswer: -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 - 5) + (-12 + -8 - -11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 - 84642*a\/7 + 15758116\/7.\nAnswer: 2*(a - 42134)*(a - 187)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -279 - -281. Suppose 21*b - 208 = -124. Factor 2\/3*l**r - b*l + 10\/3.\nAnswer: 2*(l - 5)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryyu when four letters picked without replacement from {y: 6, r: 4, u: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*n = l + 336, n + 352 = l. Let i = l - 39. What is the remainder when i is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133663 not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (-42)\/28)*28\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -610*w + 608*w + g, -4*w - 2*g - 58 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqie when four letters picked without replacement from wcewewewqwwewqwei.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 13*a**2 + 5. Let u be 9\/(-6)*156\/18. Let o be q(u). Let n = 74 - 49. Calculate the highest common factor of n and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2 = 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1641813 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5823198 days to microseconds.\nAnswer: 50312430720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*f - 412*f = -629*f + 435 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12084.05 millennia?\nAnswer: 12084050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 4*d**2 + 3*d - 4. Let c be s(4). Suppose k + c = 3*k. Find the third derivative of 2*x**4 - x**k + 7*x**2 + 0*x**2 wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + (-14 - (-6 + -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10112211121 (base 3) to base 10\nAnswer: -69865","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -326*y + 621. Let c(h) = 254*h - 466. Determine 9*c(m) + 7*p(m).\nAnswer: 4*m + 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1573 by 13.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3 + 6501*z**2 - 3518664*z - 3525168 = 0.\nAnswer: -1, 1084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1260056367?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -926 + 20063486*d + 926.\nAnswer: 20063486*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-306)\/(-102))\/(126\/(-48)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 45*b - 123 = 0. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 + (-18 - -11)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 35 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 (base 15) in base 16?\nAnswer: f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25596 - 25591. Sort -0.1, -3\/4, -5, q, 27 in descending order.\nAnswer: 27, q, -0.1, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.189916 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 12*c = -49. What is the remainder when ((-2)\/(-3))\/((-52)\/(-1014)) is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 70\/(-40))\/((-451)\/(-44) + -10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 671544 divided by -24\nAnswer: -27981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226 times -2540?\nAnswer: -3114040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61.02 + -61. Let n = 2.42 - -0.08. Let i = n + -1.5. Sort u, i, 3\/7 in ascending order.\nAnswer: u, 3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -289 - -286. Which is the closest to 0.3? (a) -5 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(1 - 2 - 1)*(-3 + 5 + 0)*(3 - 6 - 4)*(-3*x + 4*x + x).\nAnswer: -112*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 150 = -2*k + 3*k, 5*k = -v + 54. Suppose -9*h + v + 43 = 0. What is the remainder when 99 is divided by ((-6)\/h)\/((-1)\/(-108)*-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 4*z + 0*z)*(z**2 - 2*z**2 + 0*z**2) - 2*z + z**3 + 2*z + 40574*z - 704*z**3 - 40574*z.\nAnswer: -701*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61929 or 61930?\nAnswer: 61930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*v**5 + 2*v**4 + 115*v**3 - 541*v**2 + 26298*v wrt v.\nAnswer: 3660*v**2 + 48*v + 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (15 + -18 - -18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 17. Calculate u(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(-2*sqrt(2299) + sqrt(2299))*2 + 0 + 3)**2.\nAnswer: -55230 + 792*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -1\/5, 1, 164?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4 = -3*r + 8*r, 4*n + 4*r + 16 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/138 - -1*42\/(-20)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 47*r**3 - 130*r**2 - 11*r - 2. Let y(a) = -a**3 - a**2 + a + 1. Let h(n) = -6*n + 82. Let j be h(14). Let k(c) = j*y(c) - b(c). Factor k(x).\nAnswer: -3*x*(x - 3)*(15*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 12*u. Let o(p) = -p**2 - 31*p - 44. Give j(o(x)).\nAnswer: -12*x**2 - 372*x - 528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, l: 3, o: 13}. What is prob of sequence oxo?\nAnswer: 26\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f - 12*f + 100 - 93)*(-188*f**2 + 1823*f - 1823*f).\nAnswer: -188*f**3 - 1316*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 300*c**3*n**2 - 2*c**3 + 945*n wrt n?\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 2245 = -2227 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 6:02 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 949255.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 3 = -2*b. Let w = 49 - -5. Suppose w + 34 = b*l. What is the highest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x + 2*x - 4*x)*(-2 - 2 + 0)*(-231*x + 456*x + 15 - 227*x).\nAnswer: -80*x**2 + 600*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 820173 to the power of 1\/2, to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -0.1308\nAnswer: -0.5308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 40*c + 38*c + 8 = 0, -4*a + 5*c + 13 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - -0.3. Let a = -20.7 + 15.7. What is the smallest value in a, i, -0.8, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153978186 is divided by 51326060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:45 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2\/7 + 149511760*p + 9779772790505200.\nAnswer: 4*(p + 130822790)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11594 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 9:55 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17313 - -13?\nAnswer: 17326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 130995605?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z = -18. Let d(m) = -3*m + 12. Let c be d(z). Let l(y) = y**3 + 7*y**2 + 7*y + 1. Give l(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805137*m + 805142*m + 5 = 0, -8*s - 4*m + 228 = 0 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-50))\/((-8)\/60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98\/185 or 0?\nAnswer: -98\/185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11211 = -115*c + 42376. Calculate the remainder when c is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 - 152*o + 2546. What is j(14)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1998 - -2003. What is the closest to -3 in -0.4, n, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28120654 and -0.5?\nAnswer: 28120653.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*t**2 - 72*t + 47*t**2 + 399*t - 22*t**2.\nAnswer: t**2 + 327*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(5) + sqrt(5)*1 + sqrt(5)))**2 - (sqrt(5) + (sqrt(15)\/sqrt(3)*6)**2).\nAnswer: -1615\/9 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/13995471 and -17\/49644?\nAnswer: 167945652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 1.5. Let n = 2 - 0. What is the biggest value in n, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.18 + 10.42. Let l = h + -12. Which is the nearest to -0.08? (a) -4\/7 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -340 + 549. Let f(j) = 19 + 0*j**3 - 7*j**3 - j + 5*j**3 + 3*j**3. Let x be f(0). What is the highest common factor of x and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/6 + 868\/(-24). Let s be (i\/(-3))\/(3\/4). Solve -2*u + 5*p = -6*u + 6, -2*u + 4*p + s = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/2)\/((-4)\/(-6)). Suppose o = 2*w - 4, -3*w + 19*o + 1 = 15*o. Find the second derivative of 68*z - 11*z**5 - 60*z + 0*z**n + 0*z**w wrt z.\nAnswer: -220*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16671122161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 - 8*r - 9. Let b be v(-6). Suppose 0 = 4*p + 20, 5*c + b = 4*p - 7. Let m = -3 - c. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-14 + 21 - 33 - -39).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or -52?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.613 + 1.943. Let z = s + -11.637. Let i = z - -0.081. What is the nearest to -1 in 1, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/((-175)\/10) - (-47)\/5. Suppose 12*r - k*r = 9. Solve 6*x = r*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3340 and 4?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 843954193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -629.242262 to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8) + -16 + 4 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6324 or 2\/7?\nAnswer: -6324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1887*h + 0 + 1811*h + 2 - 3789*h.\nAnswer: -91*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 76 - x**3 - 131 + 382 to the form n*x**3 + u*x**2 + s*x + t and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15339*d = 14801*d + 8070 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/6 + 3134*v**2\/3 = 0. What is v?\nAnswer: -6268, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1764 and 3575 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 20*p - 1 = 19*p, 85 = -6*v + 5*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11 = 3*c, 12 = 4*c + 3*n - 14. Suppose -c*g - k + 3 = -73, 3*g - 32 = -4*k. Solve 6*z - g = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.62 * 2221.\nAnswer: -1377.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6502, 6447, 6340, 6175, 5946, 5647?\nAnswer: 5272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 0. Suppose o - 5*o - 8 = i. What is the units digit of (-1)\/o + 26\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*i**2\/5 + 171*i\/5 - 2.\nAnswer: -(i - 10)*(17*i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -81409 (base 10) in base 4?\nAnswer: -103320001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 24*s**2 + 21*s + 52. Let d be x(-23). Let u be ((-2)\/7)\/((-7)\/d). Suppose -5*m + 0*g = 5*g - 615, -4*m + 524 = -u*g. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r. Let j be 1\/(-2)*(-17 - -19). What are the prime factors of w(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-2654*a + 150*a - 851*a)*(-a + 0 + 0) to the form q*a**2 + x*a + f and give q.\nAnswer: -3355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/15*(0 + 2). Let h = 0 + 1. Let v be (1 - 2 - -1)\/h. Sort -4, v, t in ascending order.\nAnswer: -4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x + 2. Let o be b(2). Let m be (6\/(-4) - -2)*-70. Calculate the common denominator of 110\/56 - o\/m and 55\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (167*w - 53*w - 19*w)*((6 - 3 - 2)*(4 - 3 + 0) - 2 + 3 + 1).\nAnswer: 285*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -747 - -2703. Suppose -f = 11*f - c. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -0.0224907?\nAnswer: -0.00224907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 + 7*q - 11. Let p(l) = -8*l**2 + 3*l**2 + 3*l - 5 + 3*l**2. Calculate 3*o(c) - 7*p(c).\nAnswer: 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 10*m + 4*m + 374789*m**2.\nAnswer: 374789*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 4 (c) 3 (d) -21504 (e) 1 (f) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.712846 rounded to two decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 193659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 6\/7, 1\/18, -86, 7?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 11.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1546 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(133) - -5*(sqrt(133) - -1*sqrt(133) - sqrt(133)) - sqrt(133) - sqrt(133))\/sqrt(7) + 2)**2*-2.\nAnswer: -616 - 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6 and -10535454?\nAnswer: 10535460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1360*p - 2188*p**4 - 3*p**3 - 814*p**4 + 3 + 873*p**4 wrt p?\nAnswer: -25548*p**2 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**5\/3 - 73*z**4\/3 + 100*z**3 + 1712*z**2\/3 + 1312*z\/3 - 272 = 0.\nAnswer: -17, -2, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(13))*2 + 1 + -2*sqrt(637).\nAnswer: -12*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:57 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 9, 33.3, -255 in decreasing order.\nAnswer: 33.3, 9, -1\/9, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21176 is divided by 21161?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005432895 rounded to seven dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -610, -2555, -5822, -10405, -16298, -23495, -31990, -41777?\nAnswer: -52850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (1 - 6\/3). Let h = l - -13. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let o(s) = 1 - s - q. Let m(l) = 2*l**2 + 5*l - 5. Let g(i) = -i**2 - 3*i + 3. Let d(u) = -5*g(u) - 3*m(u). Give o(d(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 4:56 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 142.\nAnswer: 141.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/80)\/(30\/4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 23. Let b(c) = -5*c**2 + 3*c**2 - 5*c**m + 4*c**2. Let o(d) = 0 + 0 - 3*d. Determine o(b(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2*s - 6. Let l be y(4). Which is greater: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 + 228 + (-6 + 0 - ((3 - 3) + -1)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66840 is divided by 65413.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (51\/(-3) - 0)*1. Let a = 37 + q. What is the remainder when 16 is divided by (a\/6)\/5*9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**8\/5040 - i**7\/630 - i**6\/360 + i**5\/90 + i**4\/18 + 4*i**3 + 28. Let k(d) be the third derivative of n(d). Factor k(m).\nAnswer: -(m - 1)*(m + 1)*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7826403, -5 in descending order.\nAnswer: 1, -5, -7826403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -25, -42?\n\"Answer: -17*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -0.3 (c) -1\/5 (d) -0.07 (e) -2\/3 (f) 68\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from mhhhmttttt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w**2)**(-26\/7)*(w*w\/((w\/(w\/w**(1\/2)))\/w))**(-6)*(w**(-1\/5)\/w*w)\/w*w**(-2) assuming w is positive.\nAnswer: w**(13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-1134)*105*15\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66574 (base 9) to base 15.\nAnswer: -d177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(120)\/sqrt(6) - (4 + sqrt(5)*-2*4)**2.\nAnswer: -333 + 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcddaaaddcaaddcac. Give prob of sequence dd.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/35)\/((-8)\/14).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 3530 - 2522 = -117*t - 12 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + -0.6. Let n = -7.88 - -3.88. What is the nearest to o in -2\/5, n, -1\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**3 - 6*w**2 + 18. Let n be x(2). Solve 3*v + v - 10 = -2*p, 0 = 5*p + 3*v - n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*l**3 + 26*l**3 - 25*l**3)*(2*l + l - 5*l).\nAnswer: 36*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-16)\/(s**5*s)*(s*s*s**25)\/s**(-4\/3) assuming s is positive.\nAnswer: s**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 62481b (base 13) in base 6?\nAnswer: 121105112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = c + 3*c - 3*a, -a = 3. Let g = 93 + -87. Calculate the least common multiple of c and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 584718719?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 20 (b) -173 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4265443ml in litres?\nAnswer: 0.0004265443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-30))\/((2\/(-4))\/(324\/72))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 14. Let g be 2 + h - 1\/(-1). Let o = -50.8 + 51. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 + 1040*m**4 - 96400*m**3 + 3680000*m**2 - 48640000*m + 204800000 = 0 for m.\nAnswer: 10, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 7*i. Let s be o(-4). Suppose -2*b = 22 - s. Calculate the greatest common divisor of 19 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/33 - -37\/66. Let v be -8 - (11 + -17) - 5\/(-2). Factor 0*x - v*x**2 + 0 + l*x**5 - 1\/2*x**3 + 1\/2*x**4.\nAnswer: x**2*(x - 1)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100000 + -10?\nAnswer: -11101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -445, -437, -429, -421, -413, -405?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r + 6. Let o(n) = -13*n - 7. Let t(k) = 4*o(k) + 5*x(k). Give t(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -23*l - 81. Let j(k) = 11*k + 41. Give -13*j(v) - 6*q(v).\nAnswer: -5*v - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22293256*y**3 + 187913610*y**2.\nAnswer: 133759536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 219736 and 55593208?\nAnswer: 55593208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*b - 61, -4*r + 5*b = 35 - 93. Let z = r + -13. What is the least common multiple of z and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.3. Let s = -1 - t. Let u = -1727 - -1729. Which is the closest to 1\/4? (a) s (b) -3\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k)\/k**(1\/11)*(k\/k**3)\/(k*k*k\/k**(-5)*k*k*k)*k\/k**6*(k*k\/((k\/(k*k\/k**(-2)))\/k))\/k*k*(k\/k**(3\/5))\/((k\/k**(-6)*k)\/k) assuming k is positive.\nAnswer: k**(-1083\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-z - 2*z + z) - 8 + 8 - 195*z + 346*z.\nAnswer: 149*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in -30, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 3, o: 4, y: 3, t: 4}. Give prob of picking 2 t, 1 x, and 1 o.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/29*(-1885)\/195\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Let k be (-1)\/((-66)\/(-12)) - 92\/(-22). Suppose 5 = k*j - 7, -2*r + 3*j - 9 = 0. Put r, b, -2, -9 in decreasing order.\nAnswer: b, r, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 62748, 124586, 186424, 248262, 310100, 371938?\n\"Answer: 61838*r + 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 0 (b) 4690 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21997551523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 3*b + 4*b + 19*b)*(6*b**2 - 3*b**2 + 8*b**2) as d + t*b**3 + r*b + u*b**2 and give t.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 4487113.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -30*b**3 + b**2 + b - 1. Let j be c(1). Let u = j + 78. What is the remainder when u is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 d, 1 h, and 1 k when four letters picked without replacement from hddhhukhdhyo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 2:10 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9491*h**3 + 3*h**2 + 4743*h**3 - 1 + 4745*h**3 - 52*h**4 + 50*h**4 - 26*h as t*h**3 + l*h**2 + z*h + c*h**4 + i and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + 19. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270755 (base 8) in base 10?\nAnswer: -94701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -c + 3. Let o = -7 - c. Let q = 13 - o. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 3, s: 1, g: 2, o: 1, z: 5}. Give prob of sequence zggs.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24358212 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**3 - 19*h**2 - 16*h - 13. Let v(x) = 2*x**3 + 9*x**2 + 8*x + 6. Determine -6*o(g) - 13*v(g).\nAnswer: 4*g**3 - 3*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 4*y**2 + 2*y + 42. Give z(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*g - 6 - 0, 5*g = 0. Let n be (2 + m)\/((-3)\/6). Suppose -n*d - 2*w + 8 = 0, -5 = -2*d - w + 1. Solve -2 = d*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -50. Calculate the lowest common multiple of 10 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154909 - -154909.0090061. Let t = g + -0.009. Round t to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n + 3. Let v be g(0). Let t(u) = -1741*u**3 + 2*u + 1. Let j be t(v). Round j to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/56 and -79\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/258*13*-6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 6\/23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**4*x**2 + u**3*x**2 - 405*u**3*x - 2*u**2*x**2 - 4*u**2*x - 56*u*x**2 wrt u.\nAnswer: 24*u*x**2 + 6*x**2 - 2430*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 375238 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1840, 2400, 2962, 3526?\n\"Answer: c**2 + 557*c + 1282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o - 28. Determine b(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 19*y**2 - 18*y - 26. Let i be o(15). What is the nearest to -0.08 in -3, 5, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(10\/(-135) - (-84)\/2430*-183)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10203221 (base 5) in base 13?\nAnswer: 2c7ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, z: 3, i: 5, u: 1}. Give prob of sequence iizu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249718 greater than or equal to 4249713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 - -12. Let u = 13 + -23. Let i be j\/(-10) - (-4)\/u. Solve i*f - 2 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 27*s**4\/4 + 3*s**3 - 15*s**2\/2 + 3*s - 1. Factor r(h).\nAnswer: 3*(h + 1)*(3*h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z**(-7))\/((z**(-2\/9)\/z)\/(z**(3\/7)\/z)) assuming z is positive.\nAnswer: z**(482\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -20*r - 78 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -217486.1 rounded to the nearest 1000?\nAnswer: -217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 11. Let a be c(-6). Find the second derivative of -65*h**5 + 71*h**a + 0*h - 4*h wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {a: 2, b: 3, x: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*f + 800, -2*j - 3*f + 4*f = -400. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.05, 3\/5, -1.37, -0.5, -5, 3, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 924 and 1?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1177 + 1192. What is the remainder when 429 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-1 + 11))\/(-2). Suppose 2*u - 4 = 2*p, -5*u - r*p = -p - 37. Calculate the remainder when 3\/(-2)*(-55)\/((-550)\/(-120)) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 84 = 76. Is 5 a factor of 6\/(-24) - (-242)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0494 to three dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 164.\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.4 - -3.3. Let u = 4.1 + -7.4. Let v = u - -5.3. Which is the closest to r? (a) -0.3 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648196 a multiple of 763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 127. Let g = c - -158. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.112 - -0.212. What is the nearest to j in 0.1, -0.23, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3830215104 to the power of 1\/2, to the nearest integer?\nAnswer: 61889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 23*g + 2. Let k(j) = 324*j + 1132. Let h(b) = 4*d(b) - 2*k(b). Factor h(x).\nAnswer: 4*(x - 188)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:14 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/((-3)\/(30\/5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 4*b - 56 = 6*v, -3*b = 4*v - 51. Suppose 18 - 218 = -5*n - 5*q, 3*n = 4*q + 155. Calculate the greatest common divisor of v and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/199152 and -113\/862992.\nAnswer: 2588976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23048237 to the nearest integer?\nAnswer: 4801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 147498673 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000294 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20064578 divided by -8758.\nAnswer: -2291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5350665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 6*c**2 - 4*c + 12. Let j be p(-5). Let g(d) = 5*d - 30. Let x be g(j). Let r(k) = -k**3 + 5*k**2 - 2*k - 1. What is r(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113945984 to the nearest integer?\nAnswer: 10675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 56*o**2 - 267*o - 100. Give k(21).\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 46*c - 153 = 0. Put c, 9, 6, 3 in ascending order.\nAnswer: c, 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**6\/120 - 2*d**5\/5 - 9*d**4\/8 + 23*d**3\/6 + 203*d**2. Is 76 a factor of o(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 1224, 2778, 4978, 7836, 11364, 15574, 20478?\nAnswer: 26088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85300 and 119420?\nAnswer: 597100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-315)\/(-700)*(-32)\/(-12).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.031174876?\nAnswer: 0.0093524628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p - 161 = -536. Solve -p*o = -10*o + 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q**2 - 9*q - 5. Let u(h) = -15*h**2 - 17*h - 9. Let t(l) = -3*u(l) + 7*z(l). Factor t(n).\nAnswer: -4*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d - 2. Suppose -k - 3*k + 12 = 0. Suppose 22500 = -k*i - d*i. What is i rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.06 + 5. Let t = 0.06 + g. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**6\/40 + n**5\/30 + 3*n**2\/2 + 1. Let o(t) be the second derivative of h(t). Find the third derivative of o(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -841846350 take away -128.6?\nAnswer: -841846221.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 2:57 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*w + 570, 3*w + m - 1467 = -577. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2987518 + 10038060329\/3360. Calculate the common denominator of d and 53\/672.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 3*a - 10, -3*a = 2*s - 0 + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1157?\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.3? (a) -3 (b) 3 (c) 7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7771261 a multiple of 637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11857*z - 1920 + 937 + 983)*(5*z**4 - 3*z**4 + 2*z**4).\nAnswer: 47428*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.931 + -0.031. Let s = -89 + t. Which is the closest to s? (a) 2\/21 (b) -0.1 (c) -1.4 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 6334*x - 788782. Calculate b(-120).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 5, -10, 4, -5 in ascending order.\nAnswer: -10, -5, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*l = 85, -6*f + 5*f + 46 = -5*l. Solve 3*a = -5*c - 0*c + 1, 3*c = 5*a + f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 7*g**3 - 3*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 + 162 + (31 + 2 - -7).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**0)**(-6\/5)\/((z*z**(-4\/5)\/z*z)\/z*z\/z**(4\/5)*z) assuming z is positive.\nAnswer: z**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, -4, 464, 0.5 in decreasing order.\nAnswer: 464, 0.5, -6\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - -3. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19039 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -2. Let s be (21\/(-6) - -3)*-20. Let l = s + h. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -592.\nAnswer: -592, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/99)\/((-1)\/11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7404 is divided by 109?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-6)\/4)\/((-3)\/(-4)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 745951.4 millilitres?\nAnswer: 745.9514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7447, -60627, -204989, -486127, -949635, -1641107, -2606137, -3890319?\nAnswer: -5539247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3447952 divided by 8\nAnswer: 430994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 79.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*a + 37*a + 38*a + 1527 + 8*a**3 - 6*a**3.\nAnswer: 2*a**3 + 1527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - 3) + -2 + 1 + (-203 - -426 - 212).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 2, 7, 14, 23?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 29 + 19 = 0. Let s be ((-20)\/(-16))\/((-1)\/(-4)). Suppose s*o - 51 = -v. What is the remainder when 12 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*y - a, -7*y = -2*y - 5*a + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53881 is divided by 826.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -2.6. Let d = -6.4 + u. Let w = -10.2 - d. Is 7 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5904 - -35489. Let w = b + -41393.01100105. Let g = w - -0.011. What is g rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + q - 1. Let d = 24 - 14. Suppose 5*n + 20 = -d. Let y be 4\/n + 5\/3. Let l(t) = 6*t**2 + 4*t - 2. What is y*l(m) - 4*v(m)?\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 6.948. Let m = a - -65.948. Let g = m - 66.0056. Round g to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 9*i - 12. What is the units digit of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 25, 4 in descending order.\nAnswer: 25, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18256, -1\/3, 371, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 7*a + 2. Let i(u) = -u + 1. Let y(o) = -2*i(o) + p(o). Let d(x) = 2*x**2 - 8*x. Calculate 5*d(q) - 8*y(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 3*f**2 + f + 4. Let g(q) = q**2 + 19*q - 2. Let x be g(-19). Let w be l(x). Let s(y) = 67*y - 23. Is s(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5 = 0, c + 20*g - 19*g + 1 = 0. What is the derivative of -103 + 33 - 73*p**c - 82 + 20 wrt p?\nAnswer: -292*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.9, -5\/2, -12 in decreasing order.\nAnswer: -5\/2, -4.9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64 - 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 != 35093\/134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248 - 249. Let y be ((14\/(-20))\/1)\/((-15)\/(-30)). What is the biggest value in y, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from qamq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853, 849, 843, 835, 825, 813, 799?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.051 + -0.351. What is the second biggest value in -0.2, -0.15, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.032 + -1.968. Sort t, -1\/4, 2\/5 in increasing order.\nAnswer: t, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5 - (-1)\/5. Let d = -158 + 478\/3. Factor d*x**2 + q - 1\/3*x**5 - 2*x**3 - 1\/3*x + 4\/3*x**4.\nAnswer: -x*(x - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43245188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8755.85 micrometers to kilometers.\nAnswer: 0.00000875585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 115.16.\nAnswer: 806.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3.1 (b) -18\/29 (c) -103\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 159\/2*(40\/(-15))\/(-2). Suppose 2*z = 2*b + 58, -b + 3*b + i = 4*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u - 15. Suppose 3*i = 2*y - i - 654, 5*i = -u*y + 1036. Suppose 0*r - y = -r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/420175 and -43\/4.\nAnswer: 1680700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-64) + -2*6\/(-16).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 159*q + 8. Let i(g) = 11*g + 14*g + 22*g + 22*g - 70*g. Give j(i(n)).\nAnswer: -159*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05144 + 134.97144. What is h rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + b - 1. Let r(l) = -l + 1. Suppose 4*o = 5*o - 1. Suppose -3*s + 7*s = 32. Suppose 0 = -3*c - c - s, -3*c = -5*d + 11. Give d*q(m) + o*r(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (615\/(-10824)*-22)\/((-5)\/412).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-28)\/7 - (-431 + -3).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321022921.\nAnswer: 137, 2343233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -50*q - 33. Let j be a(-3). Let k be 2128\/18 + 0 - 26\/j. Calculate the highest common factor of k and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 19*p + 14*p = 355, 5*p = b - 71. Solve 6 = -74*o + b*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12)*4 - -3 - -4) + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3118370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -2687*s**4\/6 + 2159*s**3\/2 + 9137*s. What is the second derivative of o(m) wrt m?\nAnswer: -10748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m + 28*m = 49*m + 170 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 50, 0.07, 402015?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5 = -q, 4*c - 16 + 19 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1690302165 and -4.326?\nAnswer: 1690302160.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 7:50 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**21)**42*(f\/((f\/f**(2\/7))\/f))\/f**(6\/11) assuming f is positive.\nAnswer: f**(67971\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/2 (b) -0.13 (c) 1\/2 (d) -44.6 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2185, 13251, 43273, 101725, 198081, 341815, 542401, 809313?\n\"Answer: 1579*g**3 + 4*g**2 + g + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/2 - 338*z**4 - 10321*z**3\/2 - 15202*z**2 = 0. What is z?\nAnswer: -11, -4, 0, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 14 = -5*f + 139, -95 = -3*f - 5*b. What is the remainder when 59 is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 564, 895, 1260, 1671?\nAnswer: 2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32b281 (base 16) to base 13.\nAnswer: 8c4399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/411 and 61\/3.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/658532 and 97\/752608.\nAnswer: 5268256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48827985?\nAnswer: 3, 5, 3255199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 + 359 = 5*w. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2501, 9988, 22455, 39902, 62329?\nAnswer: 89736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30035 (base 7) to base 13.\nAnswer: -33a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 36*z**3 + 18 - 9 - 7.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -78*g + 610 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 226*d + 133092. Determine r(-495).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 3*u - 2. Let a be k(-2). Calculate the smallest common multiple of (a\/(-10))\/(4\/(-30)) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, o: 4, m: 2, e: 2, q: 1}. Give prob of sequence aamm.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -186 - -1?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226 and 2825.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -42 and -95077746.\nAnswer: -95077788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-10465)*(-1955)\/(-3400)?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (8 - 4) - (4 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 5, 1.2, 47, -505 in increasing order.\nAnswer: -505, -1\/6, 1.2, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 0.1, 1\/2, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 22 (b) 0.13 (c) -4\/5 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11256587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 - 212*j + 1112. Calculate the remainder when 2919 is divided by q(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3207, -3402, -3727, -4182?\n\"Answer: -65*a**2 - 3142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*y - 56*y + 40*y - 964 + 58*y + 965.\nAnswer: 118*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1138, 2271, 3404, 4537?\n\"Answer: 1133*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 5) to base 9\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -104525 - 2?\nAnswer: -104527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100825*h + 97695*h = 215970 for h.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*u**4 + 55*u**2?\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 + 82*k - 11. Let u be z(-17). Solve 5*r - 13*r - u = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) + 145\/(-15) + 0. Is t greater than or equal to -2\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26689 and 7218348?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.47 in 2\/5, -1\/2, -2, -2\/23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (34 - 14) - 61) + 21 - (12 + 2).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 4. Let o be q(-9). Let k = o + -3. Solve 2*t + k = -t + 4*c, -c - 1 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/((-276)\/(-110328)) + 0\/2 + 2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 90*w**3 + 3*w**2 + 5*w - 6. Is x(1) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/(-3))\/8)\/((-15)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, g: 1, y: 4, x: 2}. What is prob of picking 1 g, 2 u, and 1 y?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4730 and 57090.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -955*b**4*s - 129*b**4 + 1433*b**2*s + 4*b*s + 12*b wrt b.\nAnswer: -22920*b*s - 3096*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 + 305?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*x + 94*x**3 - 20*x**2 + 280*x**3 - 62*x**3 wrt x?\nAnswer: 1872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(2736) - (-1 + sqrt(2736) + -4)) + sqrt(2736)))**2 - (((sqrt(152) - 2*sqrt(152)) + sqrt(152))\/sqrt(4))\/(-2*sqrt(98)).\nAnswer: 3000*sqrt(19) + 69025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/5*6910\/44915.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -65.544 and 0.275.\nAnswer: -18.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 3)\/(28\/(-8)). Put 1\/3, 2, z, 6 in descending order.\nAnswer: 6, 2, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4 minus -0.1?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 220012.2ug?\nAnswer: 0.2200122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3654, -15562, -35726, -64146, -100822?\n\"Answer: -4128*b**2 + 476*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Let d(a) = 5*a - 14. Let n(t) = 9*t - 27. Let p(z) = -11*d(z) + 6*n(z). Let c be p(-11). Solve c*s = s - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -31. Let v = l + 34. Solve 0 = -d + 4*f + 1 + 1, 4*d = v*f + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 591 and 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*a - 1260 = -417*a. Let r = 0 - 1. Sort a, 4, r, 70 in decreasing order.\nAnswer: 70, a, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - m = -4, 4*o - 426 = 9*m - 890 + 418 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2)*r)\/r**(-5)*(r**(-2))**(-7\/8) assuming r is positive.\nAnswer: r**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/827357 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28016, 24637, 21258, 17879, 14500?\nAnswer: 11121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 - (9 + -2 + 12).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2398, 2930, 3470, 4024, 4598, 5198, 5830, 6500?\n\"Answer: y**3 - 2*y**2 + 531*y + 1868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/206165 and 47\/21482393?\nAnswer: 107411965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -109056*u**2 + 38*u - 62. Let r be f(-19). Round r to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*p**3 + 206*p**3 - 68*p**3 - 93*p**3.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1016 + -1053 - (-62 - 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -19 - (8 + 0 + -2 + -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r - 4*r + 3*r)*(-1 + 3 - 3)*(0*r + 7*r - r) to the form j + g*r**2 + b*r and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -460*p - 161. Let g(u) = -17*u - 6. Determine 6*b(d) - 161*g(d).\nAnswer: -23*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 + 4 - 45*p**3 - 8*p + 102*p**3 + 152*p**3 + p**2. Let z be r(9). Round z to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 11*b + c = -14, -3*c = 5*b. Suppose -2*r + 6 - 20 = -4*v, b*v - 3 = 0. Which is bigger: r or -25?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1\/3 (c) 4\/5 (d) 0.3 (e) -4\/11 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 8*d + 4. Let l be v(8). Suppose 1 + 15 = l*o. Factor 0*b + 0 - 2\/7*b**3 - 2\/7*b**5 + 0*b**2 - 4\/7*b**o.\nAnswer: -2*b**3*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**4\/24 - 11*o**3\/3 - o**2. Let a(g) = -8*g**2 - 116*g + 322. Let n be a(-17). Determine p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -192*f - 1456. Calculate w(-7).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**2\/2 - 2*g + 105. Give l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 22\/2 - -3. Let m = n + 25. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 7. Let r(q) = 80*q - 53. Calculate 5*d(j) - r(j).\nAnswer: -75*j + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1186 - 614. List the prime factors of c.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.21 (b) 2\/5 (c) -15\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14528985 divided by 2905797.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45011824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 27*j + 484. Give b(-17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Let o(a) = a. Let m be o(n). Solve -m = -4*p - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69? (a) -58 (b) 6 (c) 2\/11 (d) -4 (e) -4\/9 (f) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293086.\nAnswer: 2, 646543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*w - 115 = -0*r, 118 = 4*r - 2*w. Let n = 15 - r. Let g(j) = -33*j + 26. Is g(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 20*l + 13. Let o be s(0). Suppose 5*h - 2*y - y = -57, -4*y - 4 = 0. Let t be (-4)\/(-6) - 148\/h. What is the greatest common divisor of o and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -3*50\/(-6). Solve 4*k + t = 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f - 2*f**2 + f**2 - f - 3*f + 8. Let b be d(-6). Suppose -3*w - 11300000 = -b*w. What is w rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1155216454 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.712639 litres to millilitres.\nAnswer: 8712.639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**4 - z - 3. Let j(x) = -2*x**4 - 2*x - 10. Let d(i) = -3*j(i) + 10*u(i). Find the second derivative of d(o) wrt o.\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.04 + -9.84. Which is the second smallest value? (a) 0.5 (b) g (c) 0.3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 696 and 1864?\nAnswer: 162168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1138234 less than -8464624?\nAnswer: -9602858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*l**2 + 29*l**3 + 2*l**4 + 31*l**3 - 54*l**3 wrt l?\nAnswer: 48*l + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 + -107. Suppose -u*k + 248 = -32. What is the remainder when 34 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 5*v**2 + 8*v + 4. Let z be u(-6). Let b = z + 52. Does 29 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 5, -2, -1, 36 in increasing order.\nAnswer: -36, -2, -1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 142*o**3 + o**2 - o - 4. Let l be z(-4). Let u be 2907\/l - (-2)\/7. Let a = u - 6259\/144. Calculate the common denominator of -77\/16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 7*c + 0*c)*(3*c**2 + 5*c**2 - 5*c**2)*(-5*c**2 + 5*c**2 + 2*c**2).\nAnswer: -18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1266233982?\nAnswer: 2, 3, 13, 1321, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3214 + -3223?\nAnswer: -10441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163 divided by -790010.\nAnswer: -163\/790010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d**2 - 25*d - 55. Calculate z(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1*-0.06.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 1438796*o + 12949488.\nAnswer: -4*(o - 9)*(o + 359708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/((-3)\/30). Solve s*b = -12 - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 - c - 143 - 143 - 696 as m + u*c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + 14. Let b be v(9). Let i be ((-8)\/1)\/(b\/8). Suppose -16 = -g + i. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 258 + -266. Suppose -2*h = -6*h - 8. Let j be (-90)\/(-200) - h\/p. Which is the nearest to 1? (a) -5 (b) j (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122728 is divided by 248.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 618504 or 617383?\nAnswer: 618504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 10*z = 4*b + 33, 5*b - 3*z + 25 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2 = -5*y - 0*y + 2, y - 5*y + 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 12) in base 4?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 5*u - 19. Let q be a(-2). Suppose 0 = f - 3*i - 17, -4*f + 13 = -5*i - 20. Sort -4, -3, f, q in ascending order.\nAnswer: q, -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 224221 and -161359.906.\nAnswer: 62861.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 8, 3, -2, -7?\n\"Answer: -5*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -33*x**3 + 9*x. Let c(r) = 64*r**3 - r**2 - 17*r. Determine 11*b(k) + 6*c(k).\nAnswer: 21*k**3 - 6*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*j**2 - 6 + 2*j + 6.\nAnswer: -107*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27092383 - -9976610. Let n = s + 17115845.69361. Let x = n + -72.7. Round x to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1006\/6 - 8\/(-24). Calculate the greatest common factor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 + (1 - 8 - (-6 + 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12 from -98807.7064.\nAnswer: -98819.7064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/16*4 - 21\/4. Let m be 1\/4*(163 + (v - -6)). Factor 20 - 120*d**2 + 40*d**2 + 45 - 28*d - m.\nAnswer: -4*(4*d + 3)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 8*k**2 + 90*k - 244. Let v(d) = 4*d**2 + 45*d - 132. What is -6*o(m) + 11*v(m)?\nAnswer: -4*m**2 - 45*m + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2913 = 123*g - 1068 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2826 - 4238. Let b = n - -262. What are the prime factors of 2\/3 + b\/(-30)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**2. Let m(h) = 4*h**2 + 17*h - 1300. What is m(f(i))?\nAnswer: 100*i**4 + 85*i**2 - 1300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(1617) + sqrt(1617))*2)\/(1*(sqrt(176) - (sqrt(176) + (sqrt(176) - -2*sqrt(176)) + sqrt(176)))*-1).\nAnswer: 35*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (47709\/(-114))\/(-93)*(-2)\/24\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(2 + (-4 + sqrt(425) + 1 + sqrt(425) - (-2 + (sqrt(425) - (sqrt(425) + 1 + sqrt(425) + sqrt(425)))))) + -3)**2.\nAnswer: -735075 - 10800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2592 divide 35251200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 233069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2. Let f(c) = 5*c**2 + 2*c - 1. Let o(l) = f(l) - 6*y(l). Factor o(q).\nAnswer: -(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1277.\nAnswer: 4\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5222 - 0.564336. Let z = h - -0.042. What is z rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*j + 4*l + 14, 0 = -4*j - l - 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*c = -210 + 110 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -22*m. Let p be 16 - -3 - (-4 + 7). Let v = 18 - p. Let u(t) = -45 + 45 - v*t**2. Give o(u(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217 + 233. What is the greatest common divisor of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -22 + (-1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2327?\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -112067886 less than -112067886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.7. Let r be (115\/(-60) - -2)*-2. Which is the closest to 1\/4? (a) -0.4 (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4563 and 5?\nAnswer: 22815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6\/(v\/v**(1\/2)))\/(v**(-5)\/v**0))\/(v*v*v**(-2\/9)*(v\/(((v\/v**5)\/v)\/v)*v)\/v*v*v\/(v*v*v\/v**(3\/2))*v**3\/v) assuming v is positive.\nAnswer: v**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - n**2 - 2. Let r be (4 - 3) + -3 + 2. Let j be c(r). Let z(k) = -10*k + 4. Calculate the remainder when 47 is divided by z(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/1869 + -70415\/3738. Calculate the common denominator of 11 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 11:13 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*p**2 - 2\/25*p**3 - 20 + 6*p = 0. Calculate p.\nAnswer: -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5671.289l in millilitres?\nAnswer: 5671289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:58 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-6)*m*m*m**(1\/2)*((m**(-2\/33)\/m)\/m)\/(m*(m\/(m\/m**11))\/m) assuming m is positive.\nAnswer: m**(-1027\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -2\/13, -5 in descending order.\nAnswer: 3, 0.5, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from {s: 1, o: 1, i: 5, g: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1677836 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64119906 and 488244?\nAnswer: 8418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4616.2 + 4616. Which is the fourth smallest value? (a) x (b) -2\/5 (c) 3 (d) 0.1 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from eehxh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/12 + m**3\/2 + 3*m**2\/2 + 10*m. Determine o(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3092139132 from -0.1.\nAnswer: 3092139131.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 4*n - 9. Let a = 4 - -11. Let j be 6\/a - 4\/10. Solve n*o = -j*o + 2*x + 7, -3*x + 12 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*i + 21 = 0. Let y be 1 + 0 - (i - 2). List the prime factors of 6\/y - 44\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 18 (b) -8.3 (c) -0.6 (d) 1\/7 (e) -0.3 (f) 19\/207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Let z be (9\/6)\/(2\/4). Suppose -v = -4*v - m, 0 = p + z*v. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3834\/(-450))\/((-3)\/5) + (-2)\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 + 0.2. Let f = -1.5999987 + m. Round f to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 162 - 2108\/13. Let d be (-6)\/(-21) - 28\/(-245). Let t = 0.08 - -0.62. Which is the closest to d? (a) t (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 9) to base 6\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 2*k**3 + 9*k + 3*k - 1)*(12*k**2 + 9*k**2 - 6*k**2) + 2*k - 2*k - 2*k**5.\nAnswer: -17*k**5 + 180*k**3 - 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -11, -0.4, 0 in increasing order.\nAnswer: -11, -0.4, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70637*l**5 - 73*l**4 - 8*l**2 + 2*l - 114809 wrt l.\nAnswer: 4238220*l**2 - 1752*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94 + -21?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 10, t: 2}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 = -f + 297*b - 306*b, 0 = b - 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4840 - 33876\/7. Let n be (-10)\/(-4) + 27\/18. Find m, given that 0 + 2\/7*m - 2\/7*m**5 - 4\/7*m**2 + s*m**n + 0*m**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(7)*1) - sqrt(121)\/sqrt(275) - (sqrt(5500)\/sqrt(5) - (sqrt(11) + -1)*3))**2.\nAnswer: 186*sqrt(11)\/5 + 10796\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -7*k - 45*k - 219. Let g(o) = 30*o + 27. Let w(x) = 15*x + 14. Let l(j) = -6*g(j) + 11*w(j). Let r(q) = q + 1. Determine k*r(c) - l(c).\nAnswer: 9*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07028553 rounded to three decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43860134927 and -0.1.\nAnswer: 43860134926.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0 (c) -3\/8 (d) 3 (e) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 658815657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 3*l, -4*d + d - l = 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sstotcstsac. What is prob of sequence cta?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) -5 (b) -1\/9 (c) -90275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - -6. Let k = g + -16.5. Let j = 36 - 36.3. What is the third smallest value in k, j, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 383, 1, 4, -4 in increasing order.\nAnswer: -4, -3, -2, 1, 4, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -120. Which is greater: -6\/17 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -130\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**5\/120 + 5*i**4\/24 - i**3\/6 - 5*i**2. Let p(n) be the first derivative of c(n). What are the prime factors of p(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 2*t - t + 2 - t**2 + (0*t + 0*t - t**2)*(22 - 4 + 23).\nAnswer: -42*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylyl. What is prob of picking 1 y and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 183651063*t**3 - 2*t**2 + 244*t - 5480?\nAnswer: 1101906378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 32 - 37 + 40*b**2.\nAnswer: 40*b**2 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/(-4))\/(3\/(-18)). Let v be (-4)\/(-22) - (-27)\/c. Let k = v - -11. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4985 + -2.5015. Sort 2, 73, l, 0.2 in increasing order.\nAnswer: l, 0.2, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2201101 (base 3) in base 12?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 12 = 2*k. Suppose -4*q = k*t - 184, 5*t + 46 = -0*q + q. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9 and 12515.2425?\nAnswer: 12506.2425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.9 times 0.0459?\nAnswer: 1.87731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + x**2 - 4*x**2)*(0*x + 0*x + x**2) + (-3*x**2 + x**2 + 0*x**2 + (-2*x - x + x)*(6*x + 9*x + 6*x))*(-x**2 + 0*x**2 + 0*x**2).\nAnswer: 42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + q**3 + 0*q**3 + (1 - 1 - 2*q**2)*(-q + 0*q + 2*q) - q**3 + 27*q**3 + 18*q**3)*(5 - 4 - 3).\nAnswer: -86*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-3\/8)*d*d*d\/(d\/(d**(-2\/3)*d))*d)\/((d*d*d*d**7*d)\/d*(d*d*((d\/((d*d**(-3\/2))\/d)*d)\/d)\/d)\/d))**(-11\/3) assuming d is positive.\nAnswer: d**(1793\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/10*3*1*(-1430)\/(-286)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 3*w + 30, 2*v + 1564 - 3102 = -2*w - 1550 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 10:41 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -93 + 72. Suppose -4*y - 4*w = 0, 7 = g*y - 3*w - 11. Let t(n) = -2*n - 7. Let m be t(-5). Solve m*o - o - y*x + 13 = 0, -3*o = 5*x + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 + 127. Suppose 2*i + 14 = -g*b, -i - 2*i = 3*b + 3. Let p(a) = -a**3 + 3*a - 2. Calculate p(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8130 or 8271?\nAnswer: 8130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*m - 75*m - 1749 = 0 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*s - 8, -2 = 2*s - 3008*j + 3005*j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 9*v**2 + 4*v - 30. Let l be d(9). Solve 4*o - 5*y = -10*y - 3, 2*y - l = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/147)\/((-2)\/(-39)). Let r = 5027\/98 + d. Calculate the common denominator of r and -75\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**5\/20 + r**4\/2 + 5*r**3\/3 + 3*r**2\/2 + 152*r. Calculate the remainder when 71 is divided by o(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-11448418)\/(-6) - (-351)\/39. What is i rounded to the nearest ten thousand?\nAnswer: -5720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 6*r**2 - 2*r - 6. Calculate v(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:51 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 3*q + q + (2 - 5 + 2)*(-35*q + 12*q + 17*q) + 2 - q - 2.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 480\/(-64)*(-2)\/(-6).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/3043430 and 27\/152.\nAnswer: 231300680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-216)*3\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 2\/2)*(-1324 + 1303)\/((-1)\/(-3))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-21)\/(-9) + 2\/(-6)). Suppose u = -9*i + 12*i - 126. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*i + 10*i**5 - 3*i**5 + 8*i**5 wrt i.\nAnswer: 300*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 22, -114218, 15 in increasing order.\nAnswer: -114218, 0, 15, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 677, 0.3 in decreasing order.\nAnswer: 677, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -44. Suppose 0 = -5*a + 54 - 4. Is m at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t - 56. Calculate i(-25).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 + 4 + 5 + 62*y**2.\nAnswer: 74*y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 88, -15, -2 in decreasing order.\nAnswer: 88, 2, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g + 1. Let h be 7\/35*(5 - (-4 - -4)). Let q(w) = w + 7. Calculate h*q(r) - 5*m(r).\nAnswer: 6*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-8))\/((-2)\/8). Let x be ((-7 - -4) + 3)\/(-2). Suppose x = q - 2*q + 4. Solve -3*l - r = q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjpj when four letters picked without replacement from {j: 2, m: 1, p: 1, k: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 2)*(-70*j + 86 - 86) in the form z + d*j and give d.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -28. Let j = c + -23. Let a be 10\/12 + 4\/j. Is a bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110 + 2212?\nAnswer: 3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + (-2 + (-10)\/(-6))*3. Let c(y) = 3*y**3 + y**2. Let r be c(1). Suppose 3*k = -r*f + 17 + 7, 3*f + v = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.02. Let j = 15.32 + w. Let c = -15 + j. What is the second biggest value in c, -0.01, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -2, -21, 3, 2.\nAnswer: -21, -2, 2, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13771 - 9292. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8718*c + 8714*c = -2*f - 30, 0 = 67*f + c + 195 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l**3*u*w**2 + 326*l**3*w**2 - 69785*l**2*u*w**3 - 15*l**2*w**3 - 2*w**3 wrt u?\nAnswer: -2*l**3*w**2 - 69785*l**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829712 is divided by 1317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 2*l**2 - 7*l + 6. Let b be g(-4). What is the nearest to b in -2, -19, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(2\/9)*x*x))**(-47)*x*x**(1\/12)*x*x*x**(22\/7))**(-7\/5) assuming x is positive.\nAnswer: x**(-3209\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llesnn. What is prob of picking 1 s, 1 l, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 - 19 + 7)*(0 + 0 + q**3)*(1 + 1 - 3)*(-5 + 0 + 4) + 69*q**3 + 69*q**3 - 139*q**3 in the form v*q**3 + x*q**2 + y + b*q and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5\/5 + 177*m**4\/5 + 2334*m**3\/5 - 8094*m**2\/5 + 8463*m\/5 - 2883\/5 = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 1\/11 (b) -6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2658, -1372, 772, 3774, 7634, 12352?\n\"Answer: 429*m**2 - m - 3086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*c = -223*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -12*t**3 + 4*t**2 + 6*t - 17. Is o(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 75990*v + 37999*v + 38002*v.\nAnswer: 11*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63274478 a multiple of 1679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g**3 + g. Let k be u(-1). Solve -x - 12 + 1 = -2*d, d - k = x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (777*s**2 + 101*s**2 + 442 - 442)*(1 + 0 + 4)*(-4*s - 2*s + 4*s).\nAnswer: -8780*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/5 and -48\/215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Suppose 0 = 7*x + 11*x - 36. Suppose k - 3*a = -x*k + 9, -5*k = -4*a - 16. Solve 0*o - y*o - k = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 16*u**3\/3 + 3*u**2\/2 + 6*u. Is z(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19712*d**5 + 336*d**2*i**3 + 2*d*i**3 - 189*d*i**2 + 1433*d*i + d - i**2 - i wrt d?\nAnswer: 394240*d**3 + 672*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 104, 177, 324, 545, 840?\n\"Answer: 37*w**2 - 38*w + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.7 + 5. Let f = -5\/2 - -23\/6. Sort 0, t, f in decreasing order.\nAnswer: f, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127154.99 - -127684. What is n rounded to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/56 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10509183 to the power of 1\/2, to the nearest integer?\nAnswer: 3242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(8) + sqrt(32)))\/(sqrt(4) - (sqrt(256) + sqrt(4))*2))**2.\nAnswer: 450\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -9, 14, 57, 126, 227, 366, 549?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 650 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19513881 a multiple of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**36\/(x**(-2\/11)*(x\/(x*x**(-3\/5)))\/x))**(-1\/11) assuming x is positive.\nAnswer: x**(3736\/4235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {u: 1, p: 2, v: 2, f: 5, q: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*k**2 - 5*k**3 - 227*k**2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6524 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 531 divided by -2\nAnswer: -531\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 7*p**4 + 35*p**3 + p - 81. Let b(k) = -2*k**3 + k**2 + k. Let v(i) = b(i) - z(i). Find the third derivative of v(c) wrt c.\nAnswer: -168*c - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 24 = -2*x - 4*h, -2*x + 5*h = -23. Let z be 4 + (-4 - x - -3). Let r = z + -3. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5659 + -101747\/18. What is the common denominator of 75\/22 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 6*b + 7. Let d be t(-7). Let l = d - 0. Is (-2 - (-4 - l)) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*d = 80, 0 = -d + 5*d - 12. Suppose -2*n = 3*n. Suppose -31 = -8*m + 9. Solve -3*f = m*x + 7 - p, -5*f + 5*x + 20 = n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 1, j: 1, n: 4, z: 6, o: 2}. Give prob of picking 1 n, 1 o, and 1 f.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 62*h - 64*h - 18, -3*h - 15 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p = 35. Let g(q) = 338*q - 1533. Let b be g(5). What is the derivative of 126 - b - 25*d**2 + p*d**2 wrt d?\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (12 - 2) - (194 - (253 - 9))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15268493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00124851 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 - 156. Let k = 11 - 9. Which is the biggest value? (a) r (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/7 + 9225*h**2\/7 - 11892*h + 74016\/7 = 0. What is h?\nAnswer: -3084, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 459124 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 78 - 77.97. Let j = 5 + -4.97. Let b = j - n. What is the closest to b in -0.3, -1, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -18. Does 25 divide (w - 250\/6)\/(6\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-9) - 9) + -7 + (-2002)\/(-507)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + u + 1. Let w be 0\/(-3) + 3 - -14. Let p = 12 - w. Is 7 a factor of v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 16*y**3 + 32*y**2 - 90*y + 18. Determine s(3).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 2:28 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m - 93. Let z be u(10). Suppose -l - j + 478 = 0, -2*l + 4*j - 105 + 1085 = 0. Let n = z + l. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 11*s + 6. Suppose -2*a + 3*n = 6*n - 28, -25 = -3*a + 4*n. Calculate the remainder when v(a) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 44048088 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (1 - 0 - (-970)\/1464). Let o = -1\/244 + c. Let o*r**2 - 1\/3*r**3 - 5\/3*r + 2\/3 = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5603*p - 7262. What is l(-1)?\nAnswer: -1659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, v: 7}. What is prob of picking 1 i and 3 v?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880247.3 litres to millilitres.\nAnswer: 880247300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -22*g + 14\/9*g**5 + 148\/9*g**2 + 8 - 20\/3*g**4 + 8\/3*g**3 = 0.\nAnswer: -12\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = 6*b, 0 = r - 3*r - 5*b + 6*b + 3 - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32, 4, 3, -2\/9, -0.12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323) - sqrt(1323)*2 - sqrt(1323)) + sqrt(1323) - sqrt(1323).\nAnswer: -42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15295?\nAnswer: 5, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w - 101. Let o(s) = 1 + 146 + 26 + 30 + 23*s. Let y(b) = 9*g(b) + 4*o(b). What is the first derivative of y(j) wrt j?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = n + 1, 2 - 26 = -3*n + 3*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6503 and 216457?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 q when three letters picked without replacement from {t: 3, q: 5, l: 3}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 = -130*d + 71*d + 77*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2091*n - 290618. Give q(-139).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3 - 4930*a**2 + 66253*a wrt a?\nAnswer: -18*a - 9860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 - 3881*q - 248845. What is k(-1226)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:34 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Suppose 2*m - 4 = 0, -w*o - m = -0*o + 138. Let k = o + 42. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283 (base 11) to base 7\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffnnnfffnfffnffff. Give prob of picking 2 f.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)**(-49))**(-14)*(u**0*u)**41\/((u**4*u)\/(u\/(u\/(u*u**(-4\/5)\/u)))) assuming u is positive.\nAnswer: u**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20010202 + 20122?\nAnswer: 20101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -7*n. Which is the nearest to -2\/19? (a) -1 (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, i: 1, r: 2, b: 6}. Give prob of picking 3 b and 1 r.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2395\/4 - (-3)\/12. Suppose 0 = 11*n + 38 - x. Suppose -n*a = -53*a + 26. Solve 15*u - 4 = a*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*k + o, 6*k - 4*o = 5*k - 4. Solve -3*t - 2*i = 2*t - 14, k*t - 28 = 4*i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*i**3 - 279*i**2 - 1581*i - 378.\nAnswer: -3*(i + 9)*(i + 14)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-2)*k))\/k)**41\/(k**(2\/33)*((k**5\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(1285\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 123114 (base 5) in base 6?\nAnswer: 34052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + -43?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g + 5. What is the tens digit of v(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*s - 5*a, -5*s = 3*a - 11 - 12. Suppose -4*m - 4*o + 480 = 0, -8*m + s*m = -4*o - 512. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from {w: 2, d: 1, q: 2, r: 6, x: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 4:47 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2\/4 - 297611802*i + 29524261563229068 = 0.\nAnswer: 198407868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 11}. Give prob of picking 2 o.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 8*i - 7. Let n = 15 - 9. Let g be d(n). Let v(x) = -x**2 + 6*x. Determine v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1028 - 899. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 36.19. Let b = f + -0.09. Round b to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -142 (b) 12 (c) 1\/2 (d) 2\/225 (e) -0.2 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 56\/(-21))*(-30 - (1 - 10))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 28*f - 36 = -527, -3*v - 65*f - 77 = 61*f - 122*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 988.5 from -7.043.\nAnswer: -995.543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.71 + -28.31. Let p = 78.4 + v. Let n = 52 - p. Sort n, 5, 0.4, -4 in ascending order.\nAnswer: -4, n, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 510*b + 51 - 501*b + 1015*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -4 - -7) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 30\/((-3)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 10 = -22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1791*y**2 + 3877*y - 1044615 wrt y?\nAnswer: 3582*y + 3877","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -1325, -2658, -4489, -6824, -9669, -13030?\nAnswer: -16913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -2, -0.2, 17, -3\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k + 30. Let i be 6\/(k - -5)*(-8)\/6. Suppose -i*c + 20 = -3252. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6401 + 6402. Which is the fourth biggest value? (a) -4\/3 (b) u (c) -3\/32 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 15*c + 2396. Let v be k(57). Factor 0 + 4*j**3 + 2\/15*j**4 + 30*j**v + 0*j.\nAnswer: 2*j**2*(j + 15)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 98072.8 micrometers?\nAnswer: 98072800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 8. Let q be 3\/(-2)*(1836\/81 + -26) - 5. Let y be -2 + (-18)\/2 - -1. Put d, y, q in decreasing order.\nAnswer: q, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 182 - 117. Suppose l = -10*u + 1515. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-3))\/((-4)\/(-18)). Let y = x + -3. Let v(p) = -p**3 - p**2 + 3*p + 3. Let r be v(-2). Which is the second smallest value? (a) y (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -40*x**3 - x**2 - x. Suppose 4 = -4*d + 8. Suppose -9*f + d = -10*f. Does 20 divide g(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 7*a**2 - 9*a + 11. Let b be -4*(-1)\/(2\/4). Let q be c(b). Suppose 5*o + 5*m = -0*o + 90, -59 = -q*o - 2*m. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*d*m**2 + 66572*d*m - 2827*m**4 wrt m.\nAnswer: -76*d - 33924*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1670250263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(3200)*-2 - sqrt(50))\/((3*sqrt(90))\/sqrt(9)).\nAnswer: 68*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100110001100 (base 2) in base 14?\nAnswer: -3c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*f - 2*g, 49 = 11*f - 10*f + 5*g. Solve s - 5*u = -f, -u = 3*s + 2*u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.7 + 6.1. What is k rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21\/52 + 2\/13. Let s = -486 - -209. Let t = -4157\/15 - s. Which is the third smallest value? (a) t (b) f (c) 4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 12:57 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:45 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than 27.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4, -4*k + 38 = 3*f - f. Let i be 20 + ((-5)\/(f\/12) - 0). Let s = 21 - i. What is the remainder when 32 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, e: 2}. Give prob of sequence ded.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:36 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117\/2 - 11\/4*t**2 + 125\/4*t = 0. What is t?\nAnswer: -18\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.91545455 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*b + 29*b + 8*b - b + 19*b as t*b + n and give t.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34140 * -1907.\nAnswer: 65104980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 2:41 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-4 - 57\/(-12)). Solve -4*f = 2*r - 2, -2*r = -0*f + 2*f + u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 226 = 4*o, -3*t = 29*o - 31*o - 218. Calculate the remainder when t is divided by 52.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d = -1234 + 1474 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*p + 18*p - 28*p)*(6 + 9 - 9*p**3 - 13) as i + z*p**2 + d*p**3 + o*p + t*p**4 and give t.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {i: 1, a: 5, b: 3, c: 3, p: 1, l: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13821*u + 144. Let v(t) = 105040*t + 1092. Calculate -91*q(j) + 12*v(j).\nAnswer: 2769*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 374*p**2 + 11*p + 29. Let j(z) = 186*z**2 + 6*z + 15. Determine 11*j(c) - 6*t(c).\nAnswer: -198*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 480013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*d + 1289 = -1255 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**(-3))\/l))\/(l\/(l\/(l\/(l\/(l*l*l*l**1))))))\/((l\/(l\/(l**(-3\/8)*l)))\/l**7) assuming l is positive.\nAnswer: l**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 7*f**3 - f**3 - 2*f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77487304698 - -39.\nAnswer: -77487304659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 13*n**3 - n. Let s be c(1). Suppose -6*g + 54 = s. Let w = 37 - 17. What is the remainder when w is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011 (base 4) in base 10?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) -819 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, u: 7}. Give prob of picking 3 a and 1 u.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.40431 to 2 decimal places.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -222 - -455. Let o = u + -142. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*u, 0*u + u + 15 = 4*i. Suppose -3*m = -i, 3*w + 2*m + 0*m = 14. Is ((-35)\/(-4))\/(1\/w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3267) - (((sqrt(3267) - (-1*sqrt(3267) + sqrt(3267)))*-3 - sqrt(3267)) + sqrt(3267)))\/(-6*-1*sqrt(18)\/sqrt(2)))**2.\nAnswer: 484\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27638 - -27640. Let 3*r**a + 9\/4*r**5 + 0 - 3*r**3 + 0*r - 15\/4*r**4 = 0. What is r?\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5178, -10370, -15566, -20766, -25970, -31178?\nAnswer: -36390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001110001101000 (base 2) in base 12?\nAnswer: 126a60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28.3842*1.9\nAnswer: -53.92998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.07 + 0.07. Let b = -30.0059 - y. Round b to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/7 - 1209\/(-217). Suppose 4*l + 5*p = 396, -495 = -b*l - 0*p + p. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-14 + 11)) + 1 + 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(6) - sqrt(54)) - (sqrt(500)*-1)**2.\nAnswer: -500 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -2\/9 (c) 0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3, 6*w - 120 = w + 5*p. Let h = w - 57. Is 21 a factor of (-5088)\/h - 4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7049 divided by -2?\nAnswer: 7049\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2035304 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 621928 and 21.3?\nAnswer: 13247066.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*d - 474, -5*r = -d + 137 - 33. Calculate the remainder when d is divided by ((-24)\/(-5))\/((-8)\/(-40)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78624 and 524160?\nAnswer: 1572480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 107*z - 91*z - 64 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68.97 + -0.03. Let r = t - -67. What is the second biggest value in -0.2, r, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/330 - (-129)\/(-430)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -872651449 - 98?\nAnswer: -872651547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 + -23. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:31 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*q - 329 + 785 + 11727 = -6390 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-o**5 - 2*o**2 + 2*o**2) + (-5*o**4 + 5*o**4 - 2*o**4)*(-17*o - 30*o + 7*o).\nAnswer: 81*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 8362907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + 0.3. Suppose 96425*x - 96431*x = -18. What is the fourth biggest value in 1\/10, x, a, 3\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -p + 4*j, -4*p - 2*j = -5*p + 5. Let d(x) be the second derivative of -5*x**3\/3 - 5*x**2\/2 + 22*x. Let c(n) = -29*n - 14. What is p*d(r) - 4*c(r)?\nAnswer: 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 152303533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 235 = 3*c - 2*i, c = -5*i + 95. What is the remainder when c is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(162)*-4 + (sqrt(162) - (sqrt(162) + -4*sqrt(162)*1)))*-4)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -42. Suppose -3*g + 15 = p, n*p + 5*g = 5*p - 19. Solve 2*a = -2*a - p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(637) - (2 + sqrt(637))) + 1)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/10 - 317*b\/5 + 101556\/5.\nAnswer: -(b - 234)*(b + 868)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2840.\nAnswer: 1\/1420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2174584 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31472\/20 - (-6)\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 - 16719*i**2\/5 + 650394*i\/5 + 420336.\nAnswer: (i - 16680)*(i - 42)*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -15 + ((2262\/(-12))\/13 - (-28)\/(-8))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16064 and 1907600?\nAnswer: 7630400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 18 = -22*r. Sort -2, r, 4, -1 in descending order.\nAnswer: 4, r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n. Let d be ((-27)\/6 - -4)*n. Suppose d = 4*l + 24 - 220. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 60 = 20*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/6 + 3*k**2\/2 - 7*k\/3.\nAnswer: -k*(k - 7)*(k - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75396 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - 143. Suppose d*o - 2*w = 50, 31*w + 65 = 5*o + 29*w. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 3. Let l be i(3). Suppose -2*k + 0*k + 2 = 5*x, 3*x - k - 10 = l. Let r(j) = -7 + 7 - 4*j**x. Let h(c) = c. Give h(r(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 365266440 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 887746\/(-4)*143\/(-55). Let x = 577767 - y. Let o = 731 - x. What is the common denominator of -125\/18 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 533*o**7\/210 + 412*o**5\/15 + 124*o**2 - 8. What is the third derivative of g(y) wrt y?\nAnswer: 12792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2761*j**2 + 924786*j - 924786*j to the form n*j + v*j**2 + t and give v.\nAnswer: 2761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tprpvpvttrttppttv. Give prob of picking 1 p and 1 r.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10415831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -200*m + 9. Let u = 136 - 137. Is 17 a factor of l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - -1) - (-67 - -60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0 + 3\/2*v**2 - 1\/2*v**4 + 0*v**5 + 1\/10*v**6 - 4*v + 0*v**3. Factor y(m).\nAnswer: 3*(m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490.2044 milligrams in micrograms?\nAnswer: 490204.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -559627 and -21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 4*a + 2 + a - a**2. Let o(z) = z - 2. Let w be o(5). Let f be m(w). Solve 4*p - f = 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -4544?\nAnswer: -4535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29, 32, 37, 44, 53, 64?\n\"Answer: l**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 3, m: 1, i: 2}. Give prob of picking 1 i and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4422 and 1122.\nAnswer: 75174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + -4 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*k + 4. Suppose 3*y + 7 = -0*u + u, 3*y + 10 = k*u. Let g(l) = 9*l**2 - 2*l + 1. What is the units digit of g(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 745.\nAnswer: 8195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 0*t**2 - 9 + t**2 - 2 - t**3 + t. Let u be p(0). Let j = 16 + u. Solve -j*r - 8 = -4*d, -3*d + d - 2 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 10*q**2 + 0*q**2 + 18*q**2 in the form r + s*q**2 + i*q and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 449*r - 336*r + 169*r + 1473*r - 61 + 1327*r. Is w(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 1521.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = 3*h - 32. List the prime factors of h.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*f = -2, 7*f = 2*l + 3*f. Let u be (-2)\/6*(-3 + 0). Sort u, l, 0 in decreasing order.\nAnswer: l, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915 = 220588*b - 220649*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*q = 5, 3*q = 13*d - 18*d - 37 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -1886869?\nAnswer: -9\/1886869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-12)*2*0. Suppose 2*w - t + 1262 = 6*w, -3*w + 4*t + 937 = j. Suppose -5*x + 4*s + 1009 = 0, w = 4*x - 4*s - 489. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 1181\/3*s**3 + 4\/3*s - s**4 + 924*s**2 - 528 = 0?\nAnswer: -2, -1, 2\/3, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*c - 3*h = 71*c - 6, -2*c = -4*h + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 15. Let y = -0.0061886 - -2.3061886. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 21*n - 10242 = 18*n, 0 = -4*f - 3*n + 8190. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -908.477 * -1.8.\nAnswer: 1635.2586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112 + -131220122?\nAnswer: -131213010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzxfxxxxwxxxnfnzn. Give prob of picking 1 f and 1 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j = 21*j - 96 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1143\/37243?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -136*m - 90. Let a(c) = c - 5. Let u(x) = -a(x) - f(x). Is u(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 134\/41?\nAnswer: 134\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + b = 7734 + 2315, -4*s - 3*b = -13392. Does 35 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 13*b + 100*b + 99*b + (4 + 3 - 5)*(-1 + 2*b + 1) in the form i*b + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/42 + 5 + 4726\/(-14). Let k = l + 335. Calculate the least common multiple of k and 368.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, 11.\nAnswer: -2, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 13*n**3\/6 + 52*n**2 + 26*n - 2. Let b be r(-8). Solve -2*s = 4*z - 8, b = -4*z - s + 3 + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18656 * -106\nAnswer: -1977536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y + 12*y - 8*y + 2*y + 36.\nAnswer: 25*y + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-2)\/(-16)) - 2. Let s be 33\/9 + (-4)\/6. Suppose -12 = s*p - u*p. Sort -2, 2, p.\nAnswer: -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 - 42. Let d = 29 - m. Let j = -11 - d. What is the greatest common divisor of j and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -18. Suppose 4*x = -0*r + r + 3, -3*x = -b*r. Sort -3, -1, r in descending order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4289 equal to 5068?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*c + 2*w - 28, -5*w = c + 34. Let m(f) = f**2 + 6*f - 8. What is m(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -3. Let a = -8675\/936 - -987\/104. Sort z, 1\/4, -1, a.\nAnswer: z, -1, a, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060 not equal to 4032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l - 110 = -16 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + 40*g**2 - 40*g + 358. Determine z(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 513 + -511. Which is smaller: l or 3\/134?\nAnswer: 3\/134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224520 and 6660760?\nAnswer: 19982280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (69 + -21) - (-4 - -1) - (-3 - 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 16 + 0*y**2 + 12*y + 0*y**3 - 15\/4*y**4. Differentiate i(s) wrt s.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 - 7*i**2 - 5*i**2 - 13*i**2.\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 730043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 694.1149 hours?\nAnswer: 2498813640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, f: 14}. What is prob of sequence gf?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17410.53 + 17462. Are -0.2 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -3. Let f = 6 + j. Let o be (12\/(-40))\/(1 + f). Sort -3, 0.5, o in decreasing order.\nAnswer: 0.5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/2*99972\/(-47209)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -5*b**3\/6 - 5*b**2\/2 - b. What is the tens digit of f(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**3 + 4928*f**2 - 68260*f + 63336 = 0.\nAnswer: 1, 13, 1218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -14 (b) 1\/2 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 4*h**3\/3 - h**2 - 5*h - 5. What are the prime factors of i(5)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/9 + (-3)\/((-108)\/20). Which is the closest to m? (a) 4 (b) -1\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46305 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: Is 1482987739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55 - -1251?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -145*v**2 - 10*v + 21. Give b(2).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s**1*s))\/s*s)\/(s*s**(4\/7)))**(-25)*((s**(-2\/7)*s*s)\/s)**(-5\/4)\/(s**0)**(-32) assuming s is positive.\nAnswer: s**(1075\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, u: 2, e: 2}. What is prob of picking 2 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/5)\/((-6)\/(-100)). Let n be t\/(-20)*(-16)\/(-3). Let u(o) = -o**2 - 9*o + 7. Give u(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**2 + 397*r - 78920. Give d(109).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -5*o**4\/24 + o**3\/2 + 29*o**2. Let t be u(-1). Suppose t*f - 93 - 155 = 0. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2\/13 (b) -3 (c) -1 (d) -1\/2 (e) -0.0489373\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -248 - -263. Solve -16 = 4*p + 4*a, -3*p + 3*a - h = -3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*g = 43, 2*g + g - 24 = -3*o. Let j be -2 + (133 - -3)\/2. Suppose 0*r = -2*r + j. Calculate the greatest common divisor of o and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1418839 + 4.\nAnswer: 1418843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 1970 - 967 - 990)*(10 - 8 - 5)*(3*k + k - 6*k).\nAnswer: 24*k**2 + 78*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3946 is divided by 104.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 786343024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*c + 5. Let x = -1 + c. Are x and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxo when three letters picked without replacement from {x: 2, h: 3, a: 3, o: 1, b: 1, g: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from -14.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 35, 12, 4, 935 in decreasing order.\nAnswer: 935, 35, 12, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.107, -26, 1, 132?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*52\/(-2)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*0.8068.\nAnswer: -5.6476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouou when four letters picked without replacement from {u: 2, g: 3, n: 2, o: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2363042 to 3 dps.\nAnswer: -0.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**4*x*x))**(2\/13))**40)**(1\/32) assuming x is positive.\nAnswer: x**(-25\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -9. Let x = -15 + u. Is 3 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 62 = a, -b + 223 = -3*a - a. Let k = -52 - a. Solve -4*z + k*d - 21 = 0, 5*z + 6*d = 3*d + 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1381*-140\nAnswer: -193340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 o when four letters picked without replacement from looolgooolloog.\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + -90. Find n such that -4*n**y + 12*n**2 - n - 4*n**3 - 3*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 4*a**3\/3 - 14*a**2 - 2*a - 686. Determine u(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 2130.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let c(h) be the first derivative of 1\/12*h**4 + 0*h**3 + 0*h + h**2 + 2. Let t(i) be the second derivative of c(i). Give a(t(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 150, 481, 1018, 1755, 2686, 3805?\n\"Answer: -j**3 + 109*j**2 + 11*j + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -20140?\nAnswer: -20142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 8*q - 15. Suppose -q = -3*w - 20. Let t be (-3)\/w + -3*12\/40. Sort 2\/69, 2\/17, t in decreasing order.\nAnswer: 2\/17, 2\/69, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/3)*h)\/(h*h*h**(-1))*h\/(h\/h**(-1\/13))*h*(h\/h**4)\/h assuming h is positive.\nAnswer: h**(-107\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9539029589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q + 3*k - 9, 0 = -4*q - 2*k + 10. Suppose 100 = z + 5*f, f + 187 = q*z - 13. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4942 and 1911142?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -13*a**4\/2 + 15*a - 13. What is the derivative of n(r) wrt r?\nAnswer: -78*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.2 less than 3442732.2?\nAnswer: 3442764.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -107736 divided by -4\nAnswer: 26934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*m + 20 = 0, -m + 0 = -2*q + 18. Factor -25 - 4*z**4 + 20*z**2 + q*z + 4*z**3 + 25 + 5*z.\nAnswer: -4*z*(z - 3)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8867\/194529 or 1?\nAnswer: 8867\/194529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6572, -26344, -59302, -105446?\n\"Answer: -6593*s**2 + 7*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118 is divided by 66.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19602)\/(-396)*(-4 + 3))\/((-5)\/((-30)\/(-9))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2466, -3684, -4898, -6108?\n\"Answer: 2*r**2 - 1224*r - 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1443\/148 + (-3)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 149 and 7.54?\nAnswer: 1123.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -44*i**7\/7 - 14*i**3\/3 + 18. What is the third derivative of y(c) wrt c?\nAnswer: -5280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 97*t + 145. Determine x(-7).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 0*y - 2*y = 172, -6*y + 0*y = -y + 20 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2499 + y**2 - 2499.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*y - 8 = -0*g, -4*g + y - 13 = 0. Which is the third biggest value? (a) -1\/3 (b) g (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*m - 934 + 1588 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100 + -22. What is the remainder when f is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (8*1 - (8 + -3)). Suppose p = 8*y + 3 - 35. Solve -7*q + y = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 942368 and 3136?\nAnswer: 1884736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(5200) - 5*(sqrt(5200)*3 - sqrt(5200))) + sqrt(5200))\/(sqrt(4) + sqrt(144)*-2 + sqrt(4) + sqrt(4) - sqrt(1000)\/sqrt(10)).\nAnswer: -3 + 40*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z + 46*z - 19 = -2*o, -29 = 5*z - 2*o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-4 - (49 + -17)) + -18?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 17391086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 12*u**2 + u + 3*u**2 in the form v + a*u + c*u**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2327 - -77512?\nAnswer: 79839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 15*u**2 - 17*u - 38. Let c be i(-14). Suppose q + 1 - 2 = 0. Let x = -103 - -100. Sort q, x, c in descending order.\nAnswer: c, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3082511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6. Let c be 2\/(-14) - 1635\/(-2625). Let z = 3\/25 + c. Are d and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -3 (c) 38 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1823484057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i + 71*i + 476 = 0. What is the remainder when 893 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*p - 2992 + 592. Calculate the greatest common factor of 120 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/(-2))\/(-3) - (-3104)\/(-3424) and 57\/8.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -19, -47, -87, -139, -203?\n\"Answer: -6*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1810, 2739, 4288, 6457, 9246, 12655, 16684?\nAnswer: 21333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30868 is divided by 10242.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -22*-35*(-10)\/(-385)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -217300000 to the nearest one million.\nAnswer: -217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -201*g**3*q + 17*g**3 + 7*g**2*q - 74*g**2 - 1975810*g*q + g + 8*q wrt g?\nAnswer: -1206*g*q + 102*g + 14*q - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 508 + -577 - (-29 + 3).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 154, 301, 446, 589, 730?\n\"Answer: -g**2 + 150*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 22*s - 19. Let a be j(-23). Solve 0 = 4*p - 5*c + 11, -a*c + 8*c + 12 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) -4 (c) -3270.5 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s = 57 + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + (-30)\/(-12). Let f(l) = -l**3 + 4*l**2 - 2. What is the units digit of f(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 3933?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58964, -117943, -176940, -235955?\nAnswer: -294988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26*11 - 5)*-1. Let y = h - 88. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 3*r - 3, -r - 5*z + 3*z = -1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59127a (base 11) in base 10?\nAnswer: 938684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**5 - 2150*j**4 + 4285*j**3 - 2140*j**2.\nAnswer: 5*j**2*(j - 428)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 25 and 41 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28161, 28163, 28165, 28167, 28169?\nAnswer: 28171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/8*2*(-166 + 168). Let s = 0.3 - 0.2. What is the closest to s in 0, 0.5, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y - 12. Let l be (2\/3)\/((-4)\/y). Let a(k) = -k**2 + 7*k + 17. Let z be a(8). Solve z = 2*o - l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-25)*(q**(22\/5)\/q)\/q assuming q is positive.\nAnswer: q**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -0.07, -0.4, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(((j**(-8)\/j)\/j*j)\/j))\/j**(2\/17))\/(j**(1\/2))**46 assuming j is positive.\nAnswer: j**(-189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 - -189. Find the second derivative of -b**2 + 35*b**4 - 29*b**4 + 5*b**2 + s*b - 3*b**2 wrt b.\nAnswer: 72*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3821.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2280 divided by 120?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 345570232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -29. Solve r + 11 = 4*r - c*v, -4*v = -r + 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(1296)*4)*3)\/(-5*sqrt(162)*2*-5))**2.\nAnswer: 1\/25920000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 36.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 17\/(136\/(-6)) - -1. Which is the nearest to v? (a) 1\/4 (b) 5 (c) -2\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 2*h**3\/21 + 18*h**2\/7 + 34*h\/7 + 113. What is r in x(r) = 0?\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 6*z**2 + 6*z + 10. Suppose 0 = -2*c + 63 - 49. Let b be v(c). Suppose -b*n = 5518 + 65282. Round n to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 13) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -229902\/151 >= -1524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 20, 3*g - 489 = -5*n + 544. Let s(x) = 336 + 3*x - g. Let f(k) be the first derivative of 2*k**3 + 1. What is f(s(u))?\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-5)*o\/(o**(2\/43)*o*o)*o)**19)**7)**(12\/5) assuming o is positive.\nAnswer: o**(-346332\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f + 3. Let u be d(0). Suppose -748 = 43*t - 54*t. Find the second derivative of 8*k**u + t - 68 + 10*k wrt k.\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*w - w - 6, -4*w - 11 = -5*q. Suppose 0*r - 77 = -2*r - d, 0 = q*r + 2*d - 116. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -149034427 or -149034432?\nAnswer: -149034427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(104\/90)\/(-26)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/((i*i**(-2\/5))\/i)*i))\/i*(i**3\/i*i)\/i)**(17\/3)*(((i**(-2\/11)\/i)\/i)**(-1\/32))**(25\/3) assuming i is positive.\nAnswer: i**(-4861\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1041315 (base 6) to base 2\nAnswer: 1100101111001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-2)*48\/(-28). Let z be 21\/c + 1\/2. Calculate the highest common divisor of 10 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + f + f)*(-2 + 5 - 5) + 2*f - f + 4*f - f as q + x*f and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 4:41 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + -15 + 33 + 14 + -24 + 1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*w - 7 = -88*w. Let u(h) = -8*h**2 + h - 6. Let f(d) = -d**2 - d + 1. Let j(k) = 5*f(k) - u(k). What is the tens digit of j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 - (36 + (-4 - 38))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*p + 2. Solve -q + 1 = 2*k - 4*q, p*k - 3*q = 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 - 1. Suppose -h - 19 = -5*a, -4*a + 4 - 23 = 3*h. Let x = h - -10. Determine o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-8)\/(-18))\/((-116)\/174))\/(28\/(-3))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -127, -30?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4241453093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-54) + 7904\/(-4104). Is 1138\/19 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507575759?\nAnswer: 16187, 31357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 17. Let n = o + -12. Let k(i) = -i**3 - 3*i**2 + 5*i + 4. Let c be k(-4). Is n > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 135 - 5. Factor 17*j + u*j**2 - 5*j**5 + 10*j**3 - 5 - 5*j**4 - 15*j - 7*j.\nAnswer: -5*(j - 1)**2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(1595\/(-132) + 5 + -11 + 18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 50 * -16154\nAnswer: -807700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(119))\/(sqrt(7) - (sqrt(7) + ((sqrt(56) - sqrt(280)\/sqrt(5)) + sqrt(56))\/sqrt(8) + sqrt(7))))**2*3.\nAnswer: 1275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13086762?\nAnswer: 2, 3, 13, 167779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-5)*(-294)\/98?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 523210 divided by 7.\nAnswer: 523210\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(36)\/sqrt(3)) + -4)*4.\nAnswer: -16 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 88?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1296)*-2 + sqrt(1296))*-3)\/((-1*-2*sqrt(432) - sqrt(432))*-5).\nAnswer: 21*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11567220, 23134439, 34701658, 46268877?\n\"Answer: 11567219*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/334 and 85\/14.\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*s + 5 = 2, -2*j - 4*s + 2 = 0. Let v = 21.9 - 2.9. Let a = 16 - v. What is the closest to j in a, -0.5, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 2. Suppose -6*t = -t - 4*j + 156, -j + 116 = -4*t. Let m = t - -43. What is the remainder when m is divided by i(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g. Suppose -62 = -4*z - 3*y, -2*y - 43 + 5 = -3*z. Let f(a) = a. Let d(m) = -4*m. Let k(v) = z*f(v) + 3*d(v). Calculate n(k(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*j - 3 + 7 - j**3 + 30*j + 27*j as z*j**2 + d*j**3 + k + p*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165870 is divided by 14947.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.61 + -2.60999492. Round g to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3002 + 4216. What are the prime factors of f?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Suppose -3*x = 2*x + 5*y + 115, -h*y = 6. Let m = 34 + x. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 783 (b) 1\/3 (c) -3 (d) -0.1 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 9. Let q be -1 - (f + 0) - -1. Suppose 226 = q*k - 329. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2 = t + l, 12 = 3*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 1. Let i(k) = -3*k + 8*k**2 + 10 - 13*k**2 - 6. What is -4*b(v) - i(v)?\nAnswer: 5*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 84656060?\nAnswer: 84656062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -51*x + 3. Let u be d(1). Does 5 divide (-36)\/u + (-53)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/8, -0.3, -1\/6, -9\/7, -33, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (-2*(sqrt(19)*2 + sqrt(19)) - sqrt(19)) + sqrt(19) - sqrt(19))*-5)**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + (sqrt(405) + sqrt(405) + -1*sqrt(405) + sqrt(405) + -3 + (sqrt(405) - (-1 + sqrt(405)*1)) - -1*5*(1 + sqrt(405)))**2).\nAnswer: -99280 - 1890*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - d - 4*d. Is d at most 1\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*x + 2291 + 2299, 2*x = 4*w - 3670. Does 46 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -23*b**6\/120 - 13*b**5\/12 - b**3\/3 + 261*b**2. What is the third derivative of s(g) wrt g?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -24. Suppose g - m*g = -24. Let l(n) = n**2 - n. Let j be l(1). Solve -g*x + j*x + 3*h + 18 = 0, 2*h + 7 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + y - 1. Let z(t) = 7*t**2 - 6*t + 6. What is -6*v(s) - z(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/10 + 151*i\/10 + 146931 = 0. Calculate i.\nAnswer: -1139, 1290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s + 21*s - 34*s - 50 + 50.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2. Let j = -42 - -44. Let b(y) = -38*y**2 - 37*y**2 + 69*y**j. Calculate m(b(s)).\nAnswer: 180*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -16*n**4 - 163*n**3 - n**2 + 115*n - 44. Let t(q) = -8*q**4 - 82*q**3 + 58*q - 22. Let b(m) = -6*a(m) + 13*t(m). What is k in b(k) = 0?\nAnswer: -11, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -1880111.\nAnswer: -27\/1880111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/(-14) - -1)*2. Which is bigger: a or 511?\nAnswer: 511","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/689560 and 35\/1548?\nAnswer: 266859720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 1168 + 1404. Differentiate -32*y**4 - 36 - 323*y - 321*y + i*y with respect to y.\nAnswer: -128*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 70*r**2 - 405*r + 472. Calculate q(-27).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30407 is divided by 33.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251638?\nAnswer: 2, 47, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1333 - 1330. What is the third smallest value in 0.25, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 21*o**2 - 56*o - 26. What are the prime factors of v(24)?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3465865 rounded to three dps?\nAnswer: -14.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5\/5 - 700*h**4 - 65276*h**3\/5 - 37604*h**2 + 51360*h = 0 for h.\nAnswer: -856, -15, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/78 and 101\/4262490?\nAnswer: 55412370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 266.64066 months?\nAnswer: 0.22220055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -29, -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4287?\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71146240 a multiple of 1630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 162960040 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, g: 1}. What is prob of picking 2 n?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + m + 3 = 0, 5*t - 3*m + 1 = -10. Let p be (1 + t)*2\/2. Solve -2*n - 8 + 0 = p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39530211*l - 13176742*l - 13176733*l - 13176738*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 57677 + 202661 = 0. Suppose 2952 = 16*b - m. Is 54 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -16, -0.5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40645005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172389, -689540, -1551457, -2758140, -4309589?\nAnswer: -6205804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 - 5*c**2 + 6*c - 5. Let s(k) = -k**3 - k**2 + k - 1. Let y = 272 - 262. Let q(d) = -8*d + 81. Let r be q(y). What is r*f(m) - 5*s(m)?\nAnswer: 2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051797749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i. Suppose 4*f - 2*w - 92 = 0, 3*w - 45 + 7 = -2*f. Calculate the smallest common multiple of f and d(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4150 - -4270. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-12)\/v*v)\/v*v)\/v)\/v**(-9\/7) assuming v is positive.\nAnswer: v**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -200*f*q**2 - 36*f*q - 8*f - 3*q**2 - q wrt q?\nAnswer: -400*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11\/2))**16\/((z*z**7)\/(z*z\/(z\/(z*z**(14\/5))))) assuming z is positive.\nAnswer: z**(-456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -298*o**2 + 6*o. Let m(s) = s. Suppose 27 = 4*v - 3*h + 6, 3*h + 9 = 2*v. Let z(n) = v*m(n) - t(n). Is z(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 1441?\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 7. Let z = 0 - d. Let n(c) = c**2 + 5*c + 7. Let f be n(-5). Put 1\/10, z, f in decreasing order.\nAnswer: f, 1\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14*3\/42*-4\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-106)\/3)\/(11\/66). Let f = j + 352. Suppose -2*i = y - 30, 2*y = -2*y + 2*i + f. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175 (base 12) to base 9.\nAnswer: -278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -13*k - 12. Determine j(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + n**3 - n**3 - 41*n**3 + 7*n**3 + 4*n**3 + (-n**2 + 3*n**2 - n**2)*(3*n - 4*n + 2*n) - 4*n - 2*n**3 + 4*n.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 6*j - 11650000. Round j to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192316923 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 13*h + 55, 2*h = 313*r - 310*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*h + 17 + 2*h - 2*h**2 + 31*h**4 - 36*h - 4*h**3 - 21 in the form n*h**3 + r + p*h**4 + k*h + d*h**2 and give p.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/56 and -65\/188?\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -846, -869, -906, -957?\n\"Answer: -7*q**2 - 2*q - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532 less than 1532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (-2*(sqrt(162) + -4 + sqrt(162) + sqrt(162)) - sqrt(162)))**2*4.\nAnswer: -1512*sqrt(2) + 31790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 740, 1488, 2248, 3026, 3828, 4660, 5528?\nAnswer: 6438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145 + (-354 - -125) + -25.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbe when three letters picked without replacement from eseeqebbe.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9829436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2905 is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/15 (c) 976 (d) -69\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 269827, 4, -5, 0, 2 in ascending order.\nAnswer: -5, 0, 2, 4, 269827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -3000.8.\nAnswer: -2997.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 35 + 3. Let a = 9 + k. Let h = -3 - a. What is the closest to 0.1 in 0.5, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-186)\/(-36) - 5)*4. Are z and 1.6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)\/(m*m**(-4\/3)) assuming m is positive.\nAnswer: m**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d. Suppose d = 3*r - 5 + 2. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxxxxbxbbx. What is prob of sequence bbx?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 47?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3136*a**4 - 2016*a**3 + 1020*a**2 - 100*a = 0?\nAnswer: -1, 0, 5\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*t + 5*c + 52, 3*t - 4*c = 64. Let n(l) = l**3 - 12*l**2 - 11*l + 110. Give n(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(12\/(-32)*1). Is 7 a factor of (0 - 1)*(r + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 182329553 and -8.82.\nAnswer: 182329544.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -23*w**2 - 685*w + 3. Let g(a) = 31*a**2 + 686*a - 4. What is -3*g(n) - 4*l(n)?\nAnswer: -n**2 + 682*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - -14. Suppose -3*j + 25 = 4*u + 86, -3*u - 5*j = b. Let s be u\/60*(-3)\/2. What is the third biggest value in 0.2, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6975063 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - p - 7138 = 0, 2*n + 4*p - 2854 = 5*p. Is n a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 2 = 0. Solve -2*d = -d - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55772 + -38977. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16491 - -61300. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*y + 145 = 0, 8 - 2 = -2*y. Let r = g + 51. What is the remainder when 2\/(0 + (-4)\/(-62)) is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 3*f - 7. Let b be g(5). Let r(q) = -q**2 + q - 1. Let k(j) = 2*j + 3 - 4*j - 444*j**2 + 445*j**2. Give b*r(t) + k(t).\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235226, -470658, -706090, -941522?\nAnswer: -1176954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/41 or -266.0324?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 35 = 3*k + 3*a, -a - 21 = 4*k. Let r be 718\/(-84) + (-1 - -2). Let v = r + 54\/7. What is the second smallest value in -0.4, v, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 + 8 + 2*(-2)\/4. List the prime factors of (11 + -14)\/(((-6)\/175)\/n).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 + 10*111\/(-18). Let l be n\/(-4) + 0 - 3\/6. Let t = -8 - -13. Solve -5 + l = -t*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + -4 + sqrt(125) + ((sqrt(240)\/sqrt(12))**2 - sqrt(20)).\nAnswer: 16 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 5*w - 3434 = -31*q, -2*w = -2*q + 6868. What are the prime factors of q?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.898 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4872506, 19489972, 43852404, 77959802, 121812166, 175409496, 238751792?\nAnswer: 311839054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4 = -1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 407088 and 42768?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5503 = -234*g - 95*g + 7649 + 2311 for g.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-9)*2\/(-8). Which is the third biggest value? (a) -0.5 (b) -1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 8. Calculate the highest common divisor of g and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.034887874 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104814*v**2 + 52446*v**2 + 52382*v**2.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - -17 - (2 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.36 + 2.64. Suppose 2*b + 2 = 5*z - 18, 0 = -2*b + 4*z - 16. Suppose 4*j - 4*d = 4, -5*j = d + 1 + 6. Sort j, h, b in increasing order.\nAnswer: j, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l**2 - 20*l + 27*l**2 + 9*l + 6*l**2 + 5*l**2 as t + f*l + r*l**2 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u, 152*u - 2950 = -h + 147*u. What are the prime factors of h?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123511 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 17, 0, 5, -12 in decreasing order.\nAnswer: 17, 5, 1, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187520 divided by -48?\nAnswer: -24740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/20 + 12*g**2. Let w(j) = -14*j**2. What is n(w(h))?\nAnswer: -588*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 85 times -2768\nAnswer: -235280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 1.34. Let s = j - -8.84. What is s rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 3*n**2 + n + 9. Let v(d) = 2*d**3 - d**2 + 4. What is -2*b(w) + 5*v(w)?\nAnswer: 2*w**3 + w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 289.\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(50\/(-15))*-2. Suppose 15 = f*c, 5*c = 4*q + 2*c - 1037. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*m - 63 = 3*p, -5*m - 2*p + 110 = 0. Which is the third smallest value? (a) m (b) -5\/6 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000351858 rounded to six dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 o, and 1 f when three letters picked without replacement from oofomfof.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 683 - 110)*(3 - 2*v - 3).\nAnswer: -1118*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.4, -7, -0.11, 3, 8 in ascending order.\nAnswer: -7, -0.4, -0.11, 0.4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*a + 6*k + 22, 0 = -k - 2. Suppose 3*s + a*c = -2*s + 23, -14 = -3*s - 2*c. Let m(v) = 2*v**3 + v**2 - 4*v + 3. What is the tens digit of m(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 19. Let m(y) = -y**2 - y. Suppose -25 = c + 4*c. Let x = -9 - c. Let a(s) = 2*s**2 + 3*s. Give o*a(r) + x*m(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 61*g**3 - 3*g**2 + 41*g + 126. Does 21 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -1\/3 (c) 0.4 (d) -34 (e) 413 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 4*u + 7. Let i(h) = -h**2 - 5*h - 8. Let q(p) = -4*b(p) - 3*i(p). Let l(s) be the first derivative of q(s). What is l(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 12*h**2 + 7*h - 7. Let y be x(-4). Let k(w) = -y*w + 157*w + 2*w**2. Let d(n) = 3*n + 4. Give k(d(r)).\nAnswer: 18*r**2 + 48*r + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/20*37 + (-120)\/(-48)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-196)\/(-16) + -4 + 21\/28. Let j be -4 - (-1 - (0 + -2)). What is the third smallest value in m, -2, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*7\/35*5\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 0*x + 3*x**2 - x + 0*x**2 - 5*x = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 4, n: 1, l: 2, o: 1}. What is prob of sequence fn?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*g + 41*g**2 - 204 + 107 + 97 - 24*g**2 + 207*g.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149.2814 rounded to 1 dp?\nAnswer: 149.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 6*v + 0*v)*(0*v**3 + 0*v**3 - 3*v**3) + (-v**2 + v**2 - v**2)*(-3*v**2 + 2*v**2 + 0*v**2).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**3 + 0*q**3 + 2*q**3)*(134 + 486 - 200) to the form p*q**3 + m + n*q + k*q**2 and give p.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 11741 (c) -4\/61 (d) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4607 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4833, -4833, -4831, -4827, -4821, -4813, -4803?\n\"Answer: m**2 - 3*m - 4831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/14*((-48)\/9)\/4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.7? (a) 5 (b) -48 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwuuu. Give prob of picking 2 w and 1 u.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 4*k - 1. Let m(g) = -g. Calculate h(d) + 2*m(d).\nAnswer: -2*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4671.815 microseconds to nanoseconds.\nAnswer: 4671815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/61, 3\/2, 0.3, 0, 17 in ascending order.\nAnswer: -2\/61, 0, 0.3, 3\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 482 - 480. Are g and 31\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288 is divided by 109?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.39, 7, -3, -1.8, -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 5 + 1\/63*m**7 + 0*m**3 - 8\/15*m**5 + 3*m + 0*m**2 - 4\/45*m**6 + 32\/9*m**4. Factor d(a).\nAnswer: 2*a**2*(a - 4)**2*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6062 = 5*h - 5*d - 193, 3761 = 3*h - d. Let x(t) = 630 - 24*t + 625 - h. Let n(q) = -5*q**2. Calculate n(x(f)).\nAnswer: -2880*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + 203. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 7*a**5\/60 + a**3\/6 + 191*a**2. Let b(m) = -8*m**2 - 1. Calculate 6*b(l) + 7*d(l).\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffb when three letters picked without replacement from qqbftqbfqfffff?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**4\/12 - q**3 - 11*q**2 - 12*q. Suppose 9*c - 4*c - 45 = 0. Let f be x(c). Solve -12 = j + j + f*d, 0 = -5*d - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(0 + 2 - 3). Suppose 5*l + p*l - 10 = 0. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 - 2640\/100. Let p be (-10)\/65 - 498\/i. Solve -4*k + p = 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9567137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/21*(3*-3 + 2). Let w(o) = -4*o + 54. Let p be w(k). Let j(g) = -g**3 + 5*g**2 + 6*g + 3. Give j(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17990, 71922, 161808, 287648, 449442?\nAnswer: 647190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -866 + 860. Let i be 4200\/189 + k\/27. Solve -5*b + 4*c - 6 = -i, 0 = -5*b - 5*c - 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60*q**4 - 7*q**3 - 4178*q**2.\nAnswer: -1440*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3730649567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - q + 1. Let v be c(-2). Let h(r) = 11*r - 287. Let u be h(24). Let x = v + u. Solve x*g + 5*g = 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -580\/63 - -88\/9. Let b = -19\/15 - -3\/5. Sort 0.2, l, b in increasing order.\nAnswer: b, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from woo. What is prob of picking 2 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f + 5. Let t be m(2). Let l(p) = -p**3 - 7*p**2 - 3*p - 17. Let h be l(t). Solve -3*j - 8*x + h*x = 21, 15 = -5*x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 2*g + 3*g + (5 - 2 - 4)*(-4*g + 3*g + 0*g) + (13 - 13 - 9*g)*(0 - 2 + 1) + g + 2*g - g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90*(1316\/1260 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1926*w + 964*w + 962*w + 270 + 128*w**3 wrt w.\nAnswer: 384*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262461?\nAnswer: 3, 89, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.3 - -8.3. Let c = -6.8685 + -0.1267. Let l = a + c. Round l to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -238, -475, -710, -943?\n\"Answer: v**2 - 240*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4156\/68 - (4 + 462\/(-119)). What is the highest common divisor of o and 976?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5003*f - 3*f**2 - f**2 + 8*f**2 + 4536900 + 3517*f = 0?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25332, 2, -5, -1, 4, -17 in increasing order.\nAnswer: -17, -5, -1, 2, 4, 25332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 286 = -466. Let b = n - 83. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 7*q = -6*q + 5, 3*f + 5*q + 25 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5032 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/9 + 5*p**3\/3 - 3*p**2 + 13*p\/9 = 0. What is p?\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**3 - 77*k**3 + 28*k**3 + 23*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*z**2 + 18*z**2 - 29*z**2 + (50 + 22 - 22)*(-2*z**2 + 2*z**2 + 2*z**2).\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009976396 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -124*c - 838 + 1458. Solve -7*t + b = -4*t, -c*b = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-481)\/(-52) - 54\/24. Solve -d*c - 7 = 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2057)*-2 - sqrt(2057))**2 - 4*(sqrt(2057) + 1)**2 - (sqrt(170)\/(sqrt(30)\/sqrt(3)) - (-2*sqrt(119) - sqrt(119))\/sqrt(7)).\nAnswer: -6175 - 92*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22872037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**2. Let b(z) be the second derivative of z**4\/12 + 3*z. Give k(b(p)).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 2:20 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -40, -116, -232, -394, -608, -880?\nAnswer: -1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttuf when four letters picked without replacement from {t: 1, f: 2, o: 1, y: 1, u: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3 - 5. Is 23 + l*(-3)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c - 17. Let y be s(7). Let j(v) = -v + 3. Give j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*a**2 - a**3 + 2*a**3 + 44*a**2 to the form m*a**3 + q + r*a**2 + u*a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or -3868681?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (6 - -1) - -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 6*u**2 + 58*u - 395. Determine z(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.5 + -9. Let t = -0.15236 + -13.84764. Let p = g - t. Which is the second biggest value? (a) 1\/4 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -31 - (-122 - (-297 - -149))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 z, and 2 s when four letters picked without replacement from eeezxsewes.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 495 and 445545.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 10*u - 19. Let o be x(-8). Let k be (4 - (1 - -2))\/o. Let r = -1.75 + -0.25. Which is the biggest value? (a) -1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + z + 1, -z = 3*z - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 3*k**3 - 42 + 49 - 2*k**3 - 21*k**2 + 22*k**2 to the form y*k**2 + r*k**3 + u + b*k and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-9 - -5)) + -12 - -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29323 + -2345793\/80. What is the common denominator of 59\/245 and t?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 2, a: 3, q: 3, r: 1}. Give prob of sequence wua.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36694 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 8. Let x be k(-2). Solve v + x*z = 5*v - 14, -v + 2*z = -5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 81?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**3 - q**2 + q + 1. Let i(w) = -5*w**2 + w. Calculate i(p) + l(p).\nAnswer: 3*p**3 - 6*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-177)\/(-118) - (5\/(-6))\/((-4)\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 27 (b) -1.5 (c) 7.6 (d) -0.1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2956376180 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 214, 221, 238, 271, 326, 409, 526?\n\"Answer: r**3 - r**2 + 3*r + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -548.3012 - 159.5264. Let v = i - -708. Round v to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 21. Let v be (6\/(-4))\/((-3)\/(-4)). Calculate the smallest common multiple of n*2*(v - -3) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2\/25, -2\/227, 0?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 102 and 0.3.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5418 and 4475898?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 463233 or 463235?\nAnswer: 463235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/2))**19*((c\/c**(11\/3))\/c)\/c*c*c*c*c**(-12\/7) assuming c is positive.\nAnswer: c**(257\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 89. Suppose -5*h = 8 + 7, -393 = -4*m - h. Calculate the greatest common factor of u and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(sqrt(128)*4)**2*-4*-3.\nAnswer: -491520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -22*t + 19*t. Suppose -4*r + 100 - 28 = 0. Calculate the highest common factor of t and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1291282 divided by -244.\nAnswer: 645641\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*o = -76*o - 74. Let t(c) = -3*c - 5*c**2 + 3*c + 1. Give t(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 233*k**2. Let y(v) = 1109*v**2. Give o(y(q)).\nAnswer: 286562273*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 a, and 1 o when three letters picked without replacement from {a: 1, f: 5, o: 1, y: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236971 = -42*g + 253463. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142015335 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:24 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i**4 + 7*i**4 - 3*i**4)*(4 - 4 + 2 - 5 + 17 + 9 + (0 - 1 + 3)*(-1 - 4 + 4)) to the form x*i**2 + j*i**3 + c*i + t + y*i**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2704162 minutes in milliseconds?\nAnswer: 16224.972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 1160*c**2 - 23705*c + 127050.\nAnswer: -5*(c - 210)*(c - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43753537 and 497.\nAnswer: 306274759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 6*y + 5. Let s be (-2)\/(8\/(-12)) + 5. Is 12 a factor of k(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 387 (c) 3 (d) 5 (e) -5\/11 (f) -3\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -19\/12*s**4 + 3*s + 0*s**3 + 5 - 1\/15*s**6 + 3\/2*s**2 + 31\/20*s**5. Find the third derivative of r(t) wrt t.\nAnswer: -48*t + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.01 + -18788\nAnswer: -18789.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 7894217.\nAnswer: 144\/7894217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 19}. Give prob of picking 1 y and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.72, -2\/21, -0.4 in increasing order.\nAnswer: -0.4, -2\/21, 0.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 208030507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 + 260*k**2 - 3496*k = 0. What is k?\nAnswer: 0, 19, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = a - 6*a - 40, -5*u = u for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/27 + 2864\/72. Suppose v = -4*h + 27, 4*h - c = 3*v - 9. Solve 0 = -s - q + 3, 3*s + 5*q = -2 + h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 481 - -2433. What are the prime factors of x?\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4 (c) 228 (d) 0.2 (e) -0.327\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103362 and 1177.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by -1.\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**6\/18 - a**5\/5 - 7*a**4\/12 + 5*a**3\/3 + 3*a**2 - 281. Determine t so that v(t) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1297*x + 1297*x + 38*x**3.\nAnswer: 38*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (28\/49*2\/(-1))\/(110\/1540)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.058 and -40?\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41097150 or 41097149?\nAnswer: 41097149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 502*j\/5 - 3084\/5.\nAnswer: 2*(j - 257)*(j + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -7*z**6\/15 - 8*z**3\/3 + 18*z. Find the second derivative of h(m) wrt m.\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-2)\/((-2)\/5). Suppose -p*x = -1 - 19. Find the third derivative of 0*a**4 + 0*a**2 - a**2 + a**x wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b**2 + b. Let d be f(-1). Let t(q) = q**3 + 11*q**2 + 11*q + 13. Let m be t(d). What is the tens digit of ((-38)\/m)\/(16\/(-24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 11, -2\/21, 3, 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 99*h + 18442. Determine c(194).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiuiukskkiii. Give prob of sequence sk.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000011100 (base 2) to base 4.\nAnswer: -100130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 144768332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 1816. Suppose -308*g + 108192 = -322*g. Let r = f + g. Round r to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) -13 (c) -3 (d) 3\/31 (e) -0.5 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 = b. Find the third derivative of 4*r**4 - 7*r**4 + 3*r**b + r**4 wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -2, 0.039.\nAnswer: -2, -2\/3, 0.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l - 21*l = -352 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 i, and 1 q when four letters picked without replacement from iihiiqxiihih?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3469040 and 83\/22.\nAnswer: 38159440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o - 11. Let v(f) = 2*f + 4. Let s(d) = -4*d - 13. Let z = 8 - -4. Suppose 0 = -5*m + 3*m - z. Let r be s(m). Calculate r*v(t) + 4*p(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7827819 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/24 and -20\/147093.\nAnswer: 1176744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28452600 and 4488.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30.04 and 0.4?\nAnswer: -12.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 26*m + 160. Let u be b(5). What is the third derivative of 34*k**2 - k**6 + k**2 + 45*k**5 - 49*k**u wrt k?\nAnswer: -120*k**3 - 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.05 - 2. Let v = -121.192 - -121.241929. Let f = v - w. Round f to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - 229 + 78 - 3*v - 4*v**2 + 76 in the form m*v**2 + p*v + d and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.631049 to one dp.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 4*p**2 - p**2)*(p - 3*p + 4*p + (15*p + 9*p - p)*(2 + 1 + 2)).\nAnswer: -117*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 8*t**2 + 7*t + 6. Let z be u(-7). Let l be z\/7*(-4)\/12. Let o = -0.74 + -0.26. What is the nearest to l in o, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6592708 divided by 158?\nAnswer: -41726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 12\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q = -23*q - 3*d - 14, 0 = -4*q - 2*d - 2. Let m = 59 + -33. Put m, q, 4 in descending order.\nAnswer: m, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, -4.406, -0.4, -7, -0.3?\nAnswer: -4.406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 5*j - 6. Let t be (2 + -1)*(20 - j). Solve 2*p = -3*y + 12, 0 = t*p + 5*y - 2*y - 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/18 and -107\/2190?\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -3*y - 0*y + 3*r, -2*r = 3*y - 317. Calculate the remainder when y is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44783018 to the power of 1\/2, to the nearest integer?\nAnswer: 6692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 350 - 241. Let y = -102 + r. Let o(u) = u**2 - 9*u - 6. Calculate o(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55556, -55547, -55532, -55511, -55484, -55451?\n\"Answer: 3*y**2 - 55559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 4. Let j be a(0). What are the prime factors of 2\/j - 429\/(-22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 + 72.6. Let g = -0.82 + -7.78. Let z = 9 + g. Which is the biggest value? (a) l (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 23*r + 218. Let h be j(-7). Solve 896 = -h*q + 944 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*k - 260*k = -72 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, k: 5, a: 10}. What is prob of picking 1 t and 3 a?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h**4 - 10*h**3 + 36*h**2 - 54*h + 27 = 0. Calculate h.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(-2*(1*(sqrt(3) + -1) - (sqrt(12)\/sqrt(4) + 3 + sqrt(3))) - (sqrt(6)\/sqrt(2) + -5 - (sqrt(3) + sqrt(75)*3))))**2.\nAnswer: -55944 - 23868*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*d - 1903 - 1177 = -18074 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2168841, 4337489, 6506137, 8674785?\n\"Answer: 2168648*x + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 5. Suppose 0 = t*q - q - 5. Suppose -x + 3 = q. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606 + w**3 + 208 + 192 + 206.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -3*s**4\/2 - 2*s**3\/3 - s**2\/2 - 28. Let y be h(-1). Solve -5*i = -v - 19, 0*i - 5*i = 5*v + y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2661\/5 - -5337\/10. Let x = -10 + 20. What is the third biggest value in 0, x, -0.3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 2*b. Let c = 5 + b. Let d be (-10 + 1)*(-2)\/3. Solve d = -c*h, -n = -2*n + 5*h + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 231 = 156. Suppose 0 = -3*t - v, g + 20 = -4*t - 0*t. Is 59*62 + g + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010010110001111111 (base 2) in base 11?\nAnswer: -211827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j**2 + 33*j**2 + 2*j**2 + 4 - 4 + 3*j**2 + (j + 4 - 4)*(2*j + 6*j - 4*j) as t*j**2 + u + c*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9527835 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**2 + 26424*x + 28. Let g(p) = 2*p**2 - 5285*p - 6. Calculate 14*g(c) + 3*t(c).\nAnswer: -2*c**2 + 5282*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10475804 to the power of 1\/2, to the nearest integer?\nAnswer: 3237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 433 - 430. Let a(u) be the second derivative of u**2 + 0 + 5*u - 1\/2*u**r. What is the first derivative of a(q) wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 964*u - 964*u + 11*u**2 + 6*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**6\/14 + 18*o**5\/35 - 33*o**4\/28 + 2*o**3\/7 + 18*o**2\/7 - 24*o\/7 - 33. Solve j(t) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111.2 - 110.7. Which is the fifth smallest value? (a) 4\/5 (b) -2\/9 (c) -0.071 (d) 2\/11 (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*(-90)\/(-12). Suppose -4*n = -0*n + c*f - 45, 3*f = 15. Suppose -n*j = 5*p - 100, -j + 5*j - p = 75. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 10.5. What is the third biggest value in 2, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1624, -1737, -1864, -2005, -2160, -2329?\nAnswer: -2512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*l + 8*l = -4*l + 324 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1633 = -1169. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 693 by -201.\nAnswer: -231\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 + 12*x**2 + 4*x**2)*(x - x - x) - 1 - x**3 + 5 + x**2 - 3*x - 5.\nAnswer: -22*x**3 + x**2 - 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4393 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {x: 15, k: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 1. Let q = 795 - 801.19. Let j = -1.19 - q. Which is greater: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-2))\/(259\/(-666))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 2\/3. Which is the second smallest value? (a) q (b) 0.3 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 + -881\/8. What is the second smallest value in -0.1, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*-4*sqrt(68)*-2)\/(sqrt(24)\/(-4*sqrt(54))).\nAnswer: 1 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 753 + 3*c - 1520 + 762. What is k(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1221 + 1259. Solve -37 = u - j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -46 + -12 + -37.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -1. Let c = 0.12395 + -0.42395. What is the nearest to c in o, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1657 + -1651. Let j(o) = o**3 - 4*o**2 - 15*o + 12. Determine j(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)\/i)**(-2\/11)*((i**(-2\/7)\/i)\/i)**(23\/5) assuming i is positive.\nAnswer: i**(-3978\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4\/13 - 250*x**3 + 9714*x**2\/13 + 2250*x - 87588\/13 = 0.\nAnswer: -3, 3, 1622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 47 * -5\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0178 - 0.3822. Which is the closest to 1\/3? (a) w (b) 5 (c) 1 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39156 + -18691. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*k**3 + 115*k**3 + 3 + 2*k**2 - 55*k**3 + 2*k**4 + 3*k to n*k**3 + s*k**2 + m*k**4 + g*k + x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*u + 74*u = 5039*u - 56694 - 159866 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2\/7*g**3 + 10\/7*g**4 + 0*g**2 + 8\/7*g**5 + 0*g + 0 = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130153.\nAnswer: 157, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272395 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*(h*h**(-2)*h)\/h)*h*h*h*h*h\/(h\/h**(-2))*h*h)\/(h**(-1\/4)\/h**6)*(h\/(h*h**(-1\/7))*h*h*h*h**(-3\/5)*h)**5 assuming h is positive.\nAnswer: h**(783\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12 - -0.5. Let t = o - 0.28. Which is the third smallest value? (a) 4 (b) 1\/2 (c) t (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 343018?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 11*y**2 + 19 - y + 4*y - 12*y**2. Let o be h(8). Suppose -4*j - 17 = -5*d, 6*d - d = -o*j - 4. Round j to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2327873?\nAnswer: 523, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33*8*(-108)\/1056\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1097\/(-4388)*(-32)\/78.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 83. Let l be (-16)\/(-4) - (m\/6 - 0). What is the closest to 0.2 in -0.13, 3\/5, l?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 632 and 15563?\nAnswer: 124504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -13) + -4 + -6 + 12 + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m*m**(-2\/27)\/m)\/m)))\/(m\/((m\/m**(-7))\/m)))\/(m**(-2\/15))**(9\/2) assuming m is positive.\nAnswer: m**(746\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110553 (base 8) in base 13?\nAnswer: a6357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/55684460 and -58\/193105?\nAnswer: 612529060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*j**2 - 154*j**2 + 6436*j**3 + 75*j**2.\nAnswer: 6436*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91742091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -15*c + 75 + 23 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 719465 + 320535 = 0. What is y rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.909, 1, 2\/43?\nAnswer: -0.909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -3*j**4\/4 - 75*j**3 - 5625*j**2\/2 - 46875*j - 239. Factor p(v).\nAnswer: -3*(v + 25)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from nnhcvnnhccntccc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252039 or -252040?\nAnswer: -252040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 153, 548, 1227, 2196, 3461, 5028, 6903?\n\"Answer: d**3 + 136*d**2 - 20*d + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 423739 divided by 4\nAnswer: 423739\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 377676 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) 1\/131 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*3*1\/(-6). Find s such that -4*s + s**2 - 8*s + 4*s - 2*s**f - 16 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 0*s + 2*s)*(0*s + 3*s - s)*(s + 2*s - s)*(-2 + 5 - 5).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2389, 9550, 21485, 38194, 59677, 85934, 116965?\n\"Answer: 2387*s**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -291*r + 2. Let h(o) = -97*o + 1. Let n(x) = 11*h(x) - 4*w(x). Is n(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g + 1. Let m be ((-3)\/12)\/(5\/(-20)). Let c be f(m). Let h(v) = -v**2 + 8*v - 9. Let y be h(c). Solve -w + 0*w = -4*t - 20, -2*t - 10 = y*w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/5))**(-50)*b**(-13)\/(b\/(b*(b\/b**(-9))\/b)*b) assuming b is positive.\nAnswer: b**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 237 = -5*m, 0 = -5*k + 7*m - 11*m + 1127. Let y = -222 + k. Solve y*c - 2*h + 20 = h, -3*c = -2*h + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**2*g**3*p - 2*a**2*g**3 + 7916*a**2*g*p**2 - a*g**3*p**2 - 395*a*g**2*p + 2*g + 4*p wrt p?\nAnswer: 15832*a**2*g - 2*a*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17050127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -26*u - 13. Determine n(-3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 11:03 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 284*u**2 - 408*u**2 + 135*u**2.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 19140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 7*w - 6630. Calculate the greatest common factor of 65 and w.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 8*h = -1. Suppose u + h - 27 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(425)*-5.\nAnswer: 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-10))\/((-15)\/(-50)). Let p = -2208 + 2207. Let i be (o\/(-20))\/(p\/(-3)). What is the second biggest value in 4, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41859 less than 2068042601?\nAnswer: 2068000742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26215564?\nAnswer: 2, 17, 41, 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 81 = 11. Let o be (-24)\/j + 4\/14. Let r = -0.28 + 5.28. Which is the closest to 0.1? (a) o (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -49. Which is the biggest value? (a) -0.5 (b) 45 (c) n (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 190 + 144 + 6*t - 9*t + 2*t + 61 in the form n + s*t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.76 + -6.76. What is the fourth biggest value in a, -1, 39\/5, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 7*f**2 + 9. Let o be b(-7). Solve 0*c = 3*c + o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (8\/(-11)*99\/(-90))\/((-2)\/(-25))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112 - -176. Suppose 59 - z = -y. Solve u = 4*s + 4*u - 13, 5*u - 20 = -y*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 6*m + 11. Let c be q(-7). Let t be c + -2 - (-5)\/(-7 + 2). Solve z - t + 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(11\/5)\/v**(7\/2))\/(v*v**(-12)*v\/v**(-23)) assuming v is positive.\nAnswer: v**(-143\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 132 + (136 - (416 - 37))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f + l + 32 = 33*f, -273*f - 409 + 363 + 4697 = 5*l for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4a - -20d8564?\nAnswer: 20d85ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, -17, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 13) to base 7.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.3. What is the smallest value in -2\/7, f, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 206555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1582, 1302, 542, -938, -3378, -7018, -12098?\nAnswer: -18858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w. Let v(k) be the third derivative of 7*k**4\/12 - k**2 - 101*k. Give v(j(z)).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*q - 9*q - 5 = 0, -12 = -3*w + q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdhxbvbqh. Give prob of picking 1 x and 1 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -1403 + 12617. Suppose 47*d - 51*d + 2*s = -52, -5*d + 39 = 4*s. Suppose 12095 = d*h - f. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458085951629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 5*s + 4*s - 25*s.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 126*i - 199 - 212 + 2301 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 + 2)*(0*x**3 + 0*x**3 - 2*x**3)*(912 + 4831 - 759) to g*x**2 + y*x + o*x**3 + a and give o.\nAnswer: 19936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 270*h - 17981. Calculate u(-135).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221080 + 54034 = -66*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -896 divided by -128\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 - 3*c + 4*c**2 - c**2 - 8*c as y*c**2 + p + f*c and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htbs when four letters picked without replacement from ssttshbnnbns.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3745 - 7489\/2. Let p(m) be the second derivative of 3*m + 1\/3*m**4 - y*m**2 + 1\/3*m**3 + 0. What is p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2*sqrt(1216) - sqrt(1216)*-2)**2 - (2*sqrt(513))\/(sqrt(3) + sqrt(528)\/sqrt(11) + sqrt(3)).\nAnswer: -sqrt(19) + 20691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1052)\/(-5474) - ((-435)\/(-85) - 5). Does 0 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391464 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o. Suppose 2*m = 5*m - 12. Let g be s(m). Solve z + g = 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -725390*p**2*z**3 - p**2*z**2 + 12539*p**2 - 20*p*z + 11*z**3 - 2*z**2 wrt z?\nAnswer: -4352340*p**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13497, -53967, -121411, -215823, -337197, -485527, -660807?\nAnswer: -863031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3117, -6228, -9325, -12402, -15453?\nAnswer: -18472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 8*k + 78. Let x be 126\/k + 6*(-5)\/195. Which is the closest to -1? (a) -1\/5 (b) x (c) -0.013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**3 - 4*y**3 - 3*y**4)*(4 - 2 - 4)*(0 + 1 - 2) to the form p*y**4 + b + x*y**2 + h*y + m*y**3 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 5. Let h(q) = -q**2 + 5*q + 229. Let n be h(-13). Let v(x) = x**2 - 3. What is n*v(y) - 3*s(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**2\/2 - 265755*x\/4 + 132879\/4 = 0.\nAnswer: -44293, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyll when four letters picked without replacement from klmykyllyeyylmyl?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by (-1 - 0)*(-29 + 10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2984, 6000, 9134, 12440, 15972, 19784, 23930?\nAnswer: 28464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -118, -285, -550, -961, -1566, -2413?\n\"Answer: -8*b**3 - b**2 - 108*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000176437 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8676892 by -77.\nAnswer: -1239556\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = -37. Let o = x - 5. Solve 0 = -3*q - 4*f + 6 + 13, 5*q - 3*f = -o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148026*k**4 + 26*k**3 - 1503854*k**2 - 4*k.\nAnswer: -3552624*k + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.1, -680.791 in ascending order.\nAnswer: -680.791, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/102 + 4*h**3\/51 - 7*h + 3. Factor k(g).\nAnswer: 2*g*(g + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*i + 2418 = 1013*i - 13715 + 2753 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14023520 and 1054400?\nAnswer: 140235200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 5. Let u be f(0). Suppose u*m = -4*i + 18, i - 4 = -i. Suppose m*r = -0*r - 382000. What is r rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 58.56. Let k = -0.78 + f. Let l = -0.03 - k. Round l to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -0.01, 373, 0.8, 2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*u = -58*u + 5*w + 20, -4*u - 2*w = 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/3 and 1\/(-4) - (-195)\/21424*44\/1.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78682445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/25*9*-100*9\/(-108).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (12 - 9 - (15 - 10)) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*u - 2804 = -204 for u.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-77) + (-119)\/11. Let k(r) = -r**3 - r**2 - r + 6. Let o(h) = 2*h + 86 - 97 + 2*h**3 + 0*h**3 + 2*h**2. Let t(a) = x*k(a) - 6*o(a). Give t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + f**3 + (-f - f + 4*f)*(-4 + 4*f**2 + 4) + 0*f**3 + 0*f**2 - f**2 + 5*f**3.\nAnswer: 14*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r - 1. Let w be m(3). Suppose -w*z - 110 + 725 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2645327 less than -6623954?\nAnswer: -3978627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -29, -29, -15, 19, 79, 171?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p**2 + p + 1. Let m(y) = -7*y**3 + 6*y**2 + 6*y + 8. Suppose 5*q = -5*w + 10, 3*w - 8*w = 3*q - 4. Let v = -14 + 20. What is v*a(l) + w*m(l)?\nAnswer: l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3)**(3\/25)\/(v**(-3))**(-2\/45) assuming v is positive.\nAnswer: v**(17\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2 - 10032\/4997. Are y and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 908 + -4?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -3*m + 4*c, -2*c = -3*m + 8. Suppose -28 = -5*s - 2*n, 3*s - 40*n - 17 = -41*n. Solve v - s = m*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -615 (base 8) to base 6.\nAnswer: -1501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44131424 + -2?\nAnswer: -44131431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 6*z - 10*z + 12, -4*x = -5*z + 30. Let m be 21\/21*x\/(-2). Let b(r) = -4*r + 7. Let s(d) = 2*d - 4. Determine m*s(v) + 3*b(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.3 + -3.3066. What is x rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 38. Sort -4, g, 5 in descending order.\nAnswer: 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -68043 (base 11) to base 9\nAnswer: -160150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(66\/(-18))\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324184, 648427, 972648, 1296835, 1620976?\nAnswer: 1945059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16342403 to three decimal places.\nAnswer: 0.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Let j = -0.176 + 4.176. What is the nearest to 1\/3 in j, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 14*m**2 + m - 10. Let n be g(14). Let s(v) = -v + 5. What is s(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28\/3 - -9. Is y at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 93*y**2 - 41*y - 652. What is the thousands digit of g(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c7 (base 16) in base 6?\nAnswer: -531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c. Let p be (-2)\/(-2 + 0) + 2. Suppose 0 = 2*z - p*z. Let o(g) = z*g + 2*g**2 + 5*g - 5*g. Give t(o(r)).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 849138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1119290560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-3 + (-1602)\/(-528)). Calculate the greatest common divisor of h and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45.6 + -46. Let v = -13 - -13.05. Let y = -1.05 + v. What is the nearest to 0.1 in -0.3, y, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) 7 (b) 1.9 (c) -1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91)\/sqrt(7)*-1 + sqrt(117) + 1))**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -32. Let n = -8 - w. What is the units digit of (-4)\/(-18) + 50\/n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0 - 5\/12*u**4 + 17*u - 1\/2*u**3 - 3\/2*u**2. Let x(d) = -10*d**2 - 5*d - 5. Give -5*i(b) + 3*x(b).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 54531\nAnswer: 52\/54531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/3 + 0 + 4. Suppose 7 = -2*w - y*a, -5*w + a + 2*a + 14 = 0. What is the common denominator of ((-1)\/6)\/(w\/(-59)) and 39\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.16 + 0.06. Let k = -4.6 - -0.6. Let p = 335 + -330. Which is the closest to r? (a) k (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 57*s**2 - 409*s - 7210. Calculate d(65).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -164\/31 in -0.2, -4, -2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*4 - (sqrt(11) + (sqrt(44)*-5)**2).\nAnswer: -1100 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u*v**3 - 2393*u + 2*v**4 - 902989*v**3 + 398*v**2 wrt v.\nAnswer: -12*u + 48*v - 5417934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22928362 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 486*l**5 + 621*l**4 + 123*l**3 - 16*l**2 - 4*l = 0.\nAnswer: -1, -2\/9, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 6*y + 7. What is the remainder when (6\/8)\/(3\/12) is divided by u(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*l**3 + 352*b**2*l + 2*b*l**3 - 3*b*l**2 + b*l wrt b?\nAnswer: -2*l**3 + 704*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 6900 = -8*j. Let l = j + 274. Let w = -184\/5 + 1049\/30. Is w > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**7\/840 - w**6\/120 - 7*w**5\/120 + w**4\/4 + w**3\/3 + 3*w - 55. Let s(h) be the third derivative of z(h). What is s(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 228820*o**2 - 2287825*o - 5719250.\nAnswer: -5*(o + 5)**2*(o + 45754)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Solve 5*l + 0 = -g - 1, 2 = -p*g + 5*l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -159*j**2 + 7*j - 16. Let a(k) = 53*k**2 - 2*k + 5. Give 7*a(o) + 2*y(o).\nAnswer: 53*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ciic when four letters picked without replacement from {c: 3, l: 2, a: 2, z: 2, p: 1, i: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/144 + (2 - 4) + 3.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6734, -13533, -20332, -27131, -33930?\n\"Answer: -6799*r + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.08056l?\nAnswer: 2080.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59.1 - -55. Let f = d - -4. Let p = 104 + -109. What is the closest to f in -2\/3, p, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = 46*l - 336 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -0.04, -4\/3 in descending order.\nAnswer: 4, 0.5, -0.04, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 - 5*c**3 - 16*c**2 - 14*c.\nAnswer: -60*c**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2*1\/(-44))\/((-87)\/348). Sort 1\/2, g, 4\/9, -2\/9.\nAnswer: -2\/9, g, 4\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(96) - 3*sqrt(96))\/sqrt(12) - ((0 + sqrt(50))**2 - sqrt(2) - 1*-1*sqrt(2))).\nAnswer: -150 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o - 13 = -2*t, -4*o + 56 = 4*t. Let q(z) = -4 + 3*z - t*z - 47*z**2 + 46*z**2 + 15. Give q(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**8\/(t*t*t**(-1)*t) assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16769*m + 8596*m + 8551*m = -5133 - 10743 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -161, -4, -103, -83, -3 in descending order.\nAnswer: -2, -3, -4, -83, -103, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.2, -217.987, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 5*n - 6. Give p(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -12*h**4 - 40*h**3 - 48*h**2 - 24*h - 4 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtkt when four letters picked without replacement from {m: 1, k: 2, v: 4, t: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, 1\/441, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1090.12631063 + -1088.52631. Let x = -1.6 + c. What is x rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.088 - 4.088. Let f = -0.0537 - 0.1853. Let r = f - -0.039. Which is the nearest to -0.2? (a) p (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240 + -506. Let n = 284 + o. Let r(z) = 3*z**2 + 5*z - 4. What is the remainder when r(-5) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -167.07 - -167. Let z = 0.3 - 0.7. What is the nearest to p in 0.3, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*o - 82*o - 1103 - 136 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 651 and 4309?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-9 - (-65)\/10). Let u(t) = -t**3 + 5*t**2 + 9*t - 4. Let a be u(6). Factor -x**5 + 2*x**2 + x - f*x**4 + a - 7 - 7.\nAnswer: -x*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -59, 5 in ascending order.\nAnswer: -59, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14899*r - 31795*r + 16897*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 13*z - 16*z + 3, -1 = -z. Solve -9*p - 10*p - 76 = t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 7*u + 83. Let r be k(-6). Let d be ((-3)\/r)\/((-24)\/60)*2. Solve d*f - f - 8 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -25?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Suppose 3 = 4*v + 3*n, v - u*n + 1 = 16. Suppose -p = p + v*s - 72, -5*p = -2*s - 180. Solve 4*k + p = 4*g, 0*g = g - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(0 + 4 - 3) + 1 - 4 + 1)*(-2 + 2 - 3*r).\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1744 and 160.\nAnswer: 17440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439, 438, 437, 436, 435, 434?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 10. Let b be r(12). Let y be b - (-7)\/(-3) - (-4020)\/180. Which is bigger: y or 194\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**4 - 2*t**3 + 8*t**2 - 4*t - 6. Let z(d) = -17*d**4 - 4*d**3 + 17*d**2 - 9*d - 13. Let f(k) = -13*l(k) + 6*z(k). Solve f(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1156 - 1161. Which is the fourth biggest value? (a) 1\/3 (b) -1 (c) 30 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1302 + 1302.1. Let s be (-1)\/(-2) - 26\/4. Let z be (-1)\/(s\/1 - 3). What is the second biggest value in y, z, -0.1, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooddooooodoooodooo. Give prob of picking 2 o.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 5*a + 3, 2*z + 12 - 6 = -2*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002591849 to 7 decimal places.\nAnswer: -0.0002592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933189 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 5228*m**3 + 6916132*m**2 - 217317504*m + 1727898624.\nAnswer: (m - 2598)**2*(m - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*sqrt(143)*-3 + sqrt(143))\/((sqrt(121)*1)\/sqrt(11)).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 0.1, -327, 0, -2, -17.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/11956 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-2))\/((-20)\/(-48)). Suppose 5*o = -q + 16. Suppose 0 = -r + o + 2. Solve -2*k - 3*k = -b, 0 = -r*b - k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 2090*x**2 - 2090*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 100 (b) -4 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**4\/24 + 2*q**3 - 2*q**2. Let r be d(8). Suppose r*o = i + 83 - 5, 4*o = 4*i + 72. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*i = -159*i - 8809 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 55*s - 132. Determine x(6).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -1056350\nAnswer: 633810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6392545231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1448950374?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 190\/(-15))*6\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 9*v**2 + 10*v + 18. Let r be o(-6). Let a = 252 - r. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0816 less than -32046?\nAnswer: -32045.9184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133*b*i*o*p + 241*b*i + 277*b*o*p - 69495*i*o + 448*o*p wrt b?\nAnswer: 133*i*o*p + 241*i + 277*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 2015. Let u(g) = 6*g. Give r(u(a)).\nAnswer: -12*a - 2015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4230 - -4360. What is the remainder when m is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**3 - n**2 + n - 1. Let s be 1 - 9 - (-4 + 1). Let k = -5 - -11. Let r = k + s. Determine o(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-2) - (9 - 2). Let n = -108 + 104. Put -3, n, g in decreasing order.\nAnswer: -3, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 6 + 3*b**3 + 1 in the form s*b + n + c*b**2 + d*b**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -46144*s + 23068*s + 23087*s. Let p(t) = 7*t + 0*t - 3*t. Determine p(n(i)).\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*u + 2*r, 5*u - 4 = -0*u + r. Let p be 90\/16 - 12\/(-32). Put 4, u, p in ascending order.\nAnswer: u, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118 - -123. Suppose 510 = 2*n - 4*r, 0 = -0*n + a*n + 4*r - 1289. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 325, 592, 795, 934, 1009, 1020, 967?\n\"Answer: -32*s**2 + 363*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 981320023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -202. Suppose -5*o + u = -12*o. Let l be 3\/5*o\/(-9 - -4). Solve -3*g - c - 17 = 0, -l*c + 2 = -g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**2 + 6*i + 6. Let n(b) = -6*b - 6. Suppose -4*r + 60 = 11*r. Let s(z) = -5*z - 5. Let f(y) = r*n(y) - 5*s(y). Determine 6*f(g) - m(g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2638*f**4 + 4*f**3 - 29*f**2 - 405977*f + 11.\nAnswer: 31656*f**2 + 24*f - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3737 - 666. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3687 divided by 3?\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/198 and -89\/346.\nAnswer: 34254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 68*b + 346. Let s be f(-5). Let v(t) be the first derivative of 0*t**2 - 13 + s*t + 0*t**4 - 2\/5*t**5 + 0*t**3. Differentiate v(c) wrt c.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*v - 318, 3*v - 43 - 32 = -j. What is the greatest common factor of j and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*y + y + 8 = 0, 0 = n + 3*y + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qydw when four letters picked without replacement from wywqd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 10 + -9 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2 + 1628\/6 - 2\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 9*h**2 + 14*h - 9. What is b(10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Suppose -4*h = 22 - 6, 5*m = -a*h + 2. Suppose 0*n**m - 2*n**2 + n**2 + n = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y + 2891153 - 2891153. Let v(h) = -h**2 - 95*h. What is v(m(b))?\nAnswer: -9*b**2 - 285*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - -15)*1)\/(((32 - 17) + -49)\/(-1))?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1420a (base 13) to base 8.\nAnswer: -111501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vwwnhwwv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1 = 5. Suppose 5*h = u*o - 4*o - 16, 2 = -4*h + 2*o. Is 41\/4 - h\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q + 347 = -14*q - 365 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*d**4 + 68*d**3 + 74*d**2 + 16*d - 8.\nAnswer: 2*(d + 1)**2*(d + 2)*(9*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**2 - 4 + 2 + 0)*(-5172*l + 3613*l + 3196*l) to x*l**2 + o + a*l**3 + n*l and give a.\nAnswer: 4911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 35*q**4 - 1240*q**3 + 8995*q**2 - 10910*q + 3120 = 0.\nAnswer: 3\/7, 1, 8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-10)*30\/(-63) + 2\/3.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*c + 13 = 0, -v - 4*c + 5 = -5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5247466 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*l**2 - 43*l**2 - 10*l**5 - 11*l**2 wrt l.\nAnswer: -600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y*y**(1\/3))**(-1\/55))**(-15) assuming y is positive.\nAnswer: y**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*s**4 + 2*s - 294 with respect to s.\nAnswer: 264*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1683227*o**6 - 1092454*o**2 wrt o?\nAnswer: -201987240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3310424 and 11221.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 5*r + 1. Suppose -3*k - 4 = 5. Let y be 4\/12 + 39\/(-9). Let d(l) = -5*l**2 + 6*l - 2. Calculate k*d(b) + y*h(b).\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(-2*sqrt(882) + sqrt(882))\/(sqrt(384) - (sqrt(384) + sqrt(384)*2 + sqrt(384)) - sqrt(384) - sqrt(6)).\nAnswer: -2 + 7*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/7 + 10*x**2\/7 + 92*x\/7 + 80\/7.\nAnswer: -2*(x - 10)*(x + 1)*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 2. What is the tens digit of x(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415 - 690 = -85*l. Let z(j) = j**3 - 12*j**2 - 8*j - 74. Determine z(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -10*u - 6*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-7))\/(5\/((-10)\/3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -0.1. Let y = 6.3 - 6.2. Let g = -5 - -4. Sort y, g, l in increasing order.\nAnswer: g, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 87, 102, 117, 132, 147?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 50*r**4 - 300*r**2 + 180*r - 24*r**3 + 42*r**3 + 34*r**5 + 47*r**3 - 29*r**5 = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 648775*p + 0*p**2 + 3 - 38*p**4 - 648771*p + 2*p**2 to the form o*p**4 + n*p**3 + f + q*p**2 + t*p and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = -2*u, 2*u + 2 = -0*s + 2*s. Let t = s + 1. What is the second derivative of -b + b**t + 2*b + b wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 119*g + 115*g - 396 = 0, -4*x - 2*g = -426. Let i(b) = -b**2 + 7*b + 2. Calculate the remainder when x is divided by i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/10))\/(o*o**(2\/13)))**(-34) assuming o is positive.\nAnswer: o**(-323\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -5) + 3 + 4 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9\/2)\/(252\/48)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 57*s + 60*s + 124, 3*s + 301 = 5*m. Suppose -d + 6*g - 3*g + 249 = 0, 4*g + 956 = 4*d. What is the remainder when d is divided by m?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/11985 and -18\/2111?\nAnswer: 25300335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*t - 35818 - 4641 = 5257*t + 60868 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -1076.\nAnswer: -1076.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a factor of 3328926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10755729331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 80*j**2 - 5 + 1199*j**2 + 272*j**2 + 0*j to the form s*j + n*j**2 + l and give n.\nAnswer: 1391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12236 and 203224.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (-3 - (42 - 19)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*t + 56 = 0, -3*x = -t - 3*t - 32. Suppose -1440 = -53*k + 8*k + 2160. What is the highest common factor of x and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2504, 9897, 22186, 39377, 61476, 88489, 120422, 157281?\nAnswer: 199072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 6*j - 34 = 0. Suppose -7*o - w = -2*o - 2761, 4*o - 2196 = -4*w. Suppose -4*h = -3*b + o + 436, 3*b + j*h - 995 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (6*(-5 + sqrt(468)*2 + sqrt(468)))**2.\nAnswer: -6480*sqrt(13) + 152536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -413.8, 60, 1\/6 in increasing order.\nAnswer: -413.8, 1\/6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/3 - 1016*y**2 + 421682*y\/3 - 677320 = 0 for y.\nAnswer: -1652, 5, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -5. Let z be d\/(-12) - (-30)\/8. Suppose 0 = -3*m + 31*m + 40*m. Solve -z*x = x, 4*r - 2*x + 12 = m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147.0089 + -0.0089. Let k = -412 - -235. Let j = k + u. Is -2 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h - 48. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002185164285 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 322*p**2 + 2*p + 8. Let f be x(-2). What is the highest common divisor of f and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14643 is divided by 144?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 125 (b) -1 (c) 12 (d) -4 (e) 0.03 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50777275961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8, -75, -188, -347, -552, -803, -1100?\n\"Answer: -23*x**2 + 2*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (22 + -43 - -39).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-5)*h\/(h\/h**(1\/13))*h*h**(4\/5)*h*h*h\/h**(1\/4) assuming h is positive.\nAnswer: h**(-97\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1312*m**2 - 80544*m. Let n(a) = -2*a**2. Calculate y(n(x)).\nAnswer: 5248*x**4 + 161088*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -43105*u + 43106. Calculate x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9\/2, 1.099, -1, 4, 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 52896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -56801271 take away -2?\nAnswer: -56801269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1574*c + 11040*c**2 + 723*c + 851*c in the form v*c + b + x*c**2 and give x.\nAnswer: 11040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - 6. Let j(q) = 712*q**2 - 1387*q**2 + 688*q**2. Calculate x(j(o)).\nAnswer: -52*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a minute in seconds?\nAnswer: 825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(13\/4)\/(((l*l\/(l*l**(-5\/6))*l)\/l)\/l) assuming l is positive.\nAnswer: l**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 30 = 5*c, -960*c + 34 = -5*f - 963*c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 26 in descending order.\nAnswer: 26, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-156)\/(-126) + 8\/(-14). Let x = -293 - -296. Which is the second smallest value? (a) y (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 400211*t**3 - 2*t + 3448096.\nAnswer: 1200633*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2)\/(36\/(-60))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*p - 8284 = 31196. Solve -28*a = -122*a - p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112363?\nAnswer: 112363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 7*m**2 - 6*m + 3. Let k be l(-6). Suppose -2207 + 426 = -5*u + k*q, -2*u + 4*q + 704 = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3013517801.\nAnswer: 7, 17, 25323679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -20 - (-35 + -44 + 51)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = -u, -4*m + 4*u = u - 35. Let v be 4\/(-10) - 508\/(-20). Solve -m*w + v = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226\/8 + 108 + -139.\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 353*g + 394*g - 848*g as d + c*g and give c.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2989378515.564 less than 0.141?\nAnswer: 2989378515.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -4 (b) -1\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9242221 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3669 * 0.0656.\nAnswer: 240.6864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -403*g - 14287. Determine o(-35).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 15\nAnswer: 16\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(891)*-1 + 2*-2*sqrt(891))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10730*i - 9357 wrt i?\nAnswer: 10730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)*l*l**(1\/4))\/((l**32*l)\/l*l\/l**(4\/9)))**26 assuming l is positive.\nAnswer: l**(-16055\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204105232 to the power of 1\/2, to the nearest integer?\nAnswer: 14287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -85256 times 1.22?\nAnswer: -104012.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3851009916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26\/5 of a week?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*c - 5*c + 4 = 0, 3 = 3*c. Which is greater: a or 1\/26?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/1395 and -101\/8?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 9:43 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6*1405\/50)\/((-3)\/25)?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21119 and -21122 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 542 - 6260 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 + 26.3. Let i = x + -29.3. What is the biggest value in -2\/7, -2, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 1:41 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q. Let d(t) = -4*t. Let h(w) = -11*d(w) + 6*o(w). What are the prime factors of h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Suppose 0*i - 9 = -3*i. What is the smallest value in i, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8272 and 12784.\nAnswer: 140624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -882405 (base 11) in base 15?\nAnswer: -1cc5c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -883*y - 314*y + 1197*y + 5*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -2. Let h = -19 - b. Suppose -4*k - h = -90. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from zzfszzf?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -3, 18, -2 in decreasing order.\nAnswer: 18, -2, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 128, 334, 610, 950, 1348?\nAnswer: 1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 14*x + 2. Suppose -5*f - 6 = -4*w + 30, -4 = -f. Let c be m(w). Solve 5 = -c*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1076*r**4 - 1055 wrt r.\nAnswer: 4304*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18100 <= 122\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44870863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, and 1 l when three letters picked without replacement from aalaagalaalagayla.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfw when three letters picked without replacement from owrfz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116925, 117159, 117401, 117651, 117909, 118175?\nAnswer: 118449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(153) + sqrt(153)*-5 - sqrt(153)) + sqrt(153) + sqrt(153) - sqrt(153))*4)**2.\nAnswer: 39173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3747.78 - 3710. Let x = w - 37. Let k = 0.22 + x. Which is the nearest to -0.1? (a) -1\/5 (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122060.76*-3.\nAnswer: 366182.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 90, -82, 1, 3\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 11:03 PM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g**5\/10 + 2*g**4\/5 - 3*g**3\/5 - 18*g**2\/5 - 27*g\/10 = 0. What is g?\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, k: 2, z: 6}. Give prob of sequence rrk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 323321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 - 2 + 2*s**3 + 1 + (21*s**2 + 89*s**2 - 32*s**2)*(-s - 3*s + 3*s).\nAnswer: -76*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 105*o + 14. Let w(i) = -35*i - 5. Calculate -5*s(j) - 14*w(j).\nAnswer: -35*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -6*t + 0*t**2 + 3 + 1\/12*t**4 + 0*t**3 + 16\/5*t**5. Find the third derivative of y(w) wrt w.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-4) + (-6)\/(-4). Solve 3*n - 3*p + p = -2, -3*n + 5*p + 13 = t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -72 + 144196?\nAnswer: 144124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -32. Suppose 86 = p - 4*t, -3*t + x = -2*p + 171. Suppose 7*o - 2*o - p = 0. Calculate the greatest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197552531 to the power of 1\/2, to the nearest integer?\nAnswer: 14055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5 - 7*d**2 + 0*d**3 + 0*d**2 - 7*d - 2*d**3. Let y be b(-7). Let p = 777\/2 - y. Is -9 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/10)\/(1\/(-3)). Let o = 5478.9 - 5479. Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(245) + -1 + -4 + 4.\nAnswer: 1 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 6*z**2 - 13*z + 8. Let p(m) = -m. Let g be (2 - 4)*(-2)\/(-4). Let c(t) = g*a(t) + 4*p(t). Is 10 a factor of c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - -65?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 7*u**2 - 4*u + 10. Let s(b) = 3*b + 15 + 13*b + 15*b - 96 - 9*b. Let m be s(4). Determine f(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7447 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4, -7, -22.2, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 245 - 53. Let g = m + -1. What is the remainder when g is divided by (-8)\/6 + (-1140)\/(-45)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -182, -153, -124?\n\"Answer: 29*p - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (182*a**3 + 282*a**3 - 333*a**3 + (3*a**2 + 0*a**2 - a**2)*(4*a - a - a))*(-1 - 4 + 2) to the form h*a**2 + u*a**3 + l + q*a and give u.\nAnswer: -405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/24892 and -29\/18669?\nAnswer: 74676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13557, -54239, -122043, -216969, -339017, -488187?\nAnswer: -664479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30271234 divided by -6?\nAnswer: 15135617\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 9. Let a be r(-9). Does 10 divide 19 + -3*3\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1447 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l + 15*l + 56*l - 729 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9850416 divided by 30216?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + w - 63, -2*w = -6. Suppose n = -4*k + 85, 2*k - 31 = 4*n + 7. Calculate the remainder when k is divided by 136\/x - (-1)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1, -1\/2, -3 in decreasing order.\nAnswer: 1, 0.2, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 10*z**2 + 86*z - 229. Calculate t(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:36 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4\/5, -9, 2\/7 in decreasing order.\nAnswer: 4, 2\/7, -4\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -4 - -5*4. Let f be -9*g\/(-6)*-1. Let z = f + 50. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + 1 + 3 + 4. Suppose -56 = -v*c - 4*p, p = -2 + 6. Solve -10*d + c = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(2\/15)))\/g**(2\/9)*(g\/(g*g*g**(-5)))\/(g**(1\/4)\/g))**(1\/31) assuming g is positive.\nAnswer: g**(839\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2 + 15\/6. Suppose -w + 8 = q*u, -5*w - u - 10 - 7 = 0. Sort -3, 1, w in decreasing order.\nAnswer: 1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -25*m. Suppose 2*n - 18 = 5*w, -2*n = -4*w - 1 - 15. Let i be y(n). Round i to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1253 - (36\/(-6))\/(-1). What is the highest common divisor of h and 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40040573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 513 + -6473782\nAnswer: -6473269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, s: 2, j: 5, e: 7}. What is prob of sequence sgs?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from jjjjqqqjqjqjq?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-1 - (-2 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 22*m**2 - 3*m - 25. Let r be c(-11). Suppose 0 = -7*k + 3*k + 100. Solve -2*t + 5*x = -7*t - k, -t - r = 2*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in -3, -0.36, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.133, -2\/3, -4\/9 in decreasing order.\nAnswer: 0.133, -4\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l**2 - l + 4. Let y be u(0). Let p(r) = r**2 + 2*r - 2. Let n be p(2). Let o(j) = 2*j + 3*j - n*j - y*j**2. What is o(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 3 - -1 - -3)*1409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*k - 12*k + 121*k - 11*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 280358 + -280361. Let a = -15.2 + 3.4. Let o = 13 + a. What is the closest to o in 1\/6, m, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 51 + 16 + 5 - 24065*k in the form s + l*k and give l.\nAnswer: -24065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 1946274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1651 and -26?\nAnswer: 42926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 276983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*g + 5*q - 88, -19*g + 11*g + 0 = -3*q - 84 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*v = -183*v + 3*u + 34, 26 = 2*v - 5*u. Which is the closest to 0.1? (a) 7 (b) v (c) -0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.121 - 0.079. Let q = 17 + -1. Let x = q + -19. What is the nearest to 0.2 in i, -0.8, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42180555.\nAnswer: 3, 5, 37, 76001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53450, -53466, -53506, -53582, -53706?\n\"Answer: -2*t**3 - 2*t - 53446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - z**5 + (3*z**2 + 5*z**2 - 6*z**2)*(-4*z**3 + 4*z**3 - 3*z**3) + 6*z**5 - 3*z**5 - 4*z**5.\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 4*sqrt(119)\/sqrt(7) - sqrt(17) - (sqrt(153) + 4)) + (4*sqrt(170)*-1 + sqrt(170))\/((sqrt(40)\/sqrt(4) + sqrt(10))*2).\nAnswer: -4 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 5*n + 0*n + (4 - 3 - 2)*(1 - 1 - n))*(n**2 + 4*n**2 - 4*n**2)*(114*n - 7421 + 7421) in the form r*n**4 + k*n**3 + q + j*n + x*n**2 and give r.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 55*u**2\/4 + 107*u\/4 - 53\/4.\nAnswer: (u - 53)*(u - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d561 - -4?\nAnswer: -8d55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 55505 (base 7) in base 9?\nAnswer: 21142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 8 = 4*h - 5*w, 0 = h + 3*w - 1. Suppose 0 = h*a - 2*a + 18. Find the common denominator of 17\/20 and (a\/24)\/(6\/(-94)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -30, -75\/3467, -0.8 in increasing order.\nAnswer: -30, -0.8, -75\/3467, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14465 + -14465.6. Is u at least -781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 - 14*q**2 - 2*q + 122. Let z(t) = t**3 - 7*t**2 - t + 51. Let r(s) = -2*j(s) + 5*z(s). Give r(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 119. What is n(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29637 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, k: 5}. Give prob of sequence mmm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -7 - -5 - (8 - 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 358*u - 360*u + 1366. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/8 - 441*t**3\/8 - 12787*t**2 - 477405*t\/2 - 1164700 = 0. What is t?\nAnswer: -152, -10, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12359 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -100100110111 (base 2) to base 3\nAnswer: -10020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 28 + 29*d + 20*d - 12*d.\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03857 - -0.18413. Let x = -0.138 + m. Round x to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3736117\/2230 - -8377\/5. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 10*v**2 + 10*v - 3. Let r be a(9). Let d(m) = m**2 - 8*m + 9. Give d(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 - 166. Let h be (q - -1)*(-4)\/(-12). Suppose 3*r - h = -0*r. Solve 0 = -6*f + f - k + 3, -3*f + r = 3*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d + 1929b?\nAnswer: 1920e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27912179885 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6135 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001746937 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 - ((-3 - -4) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + (3 - (-2 - -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 13*u**2 - 7*u - 2. Let a(n) = 6606 + 0*n - 7*n**2 - 6605 + 4*n. Give -7*a(x) - 4*j(x).\nAnswer: -3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4\/2 - 9011719*r**3 - 81211061311521*r**2\/2 + 81211088346680*r - 40605548679200 = 0.\nAnswer: -9011720, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 7, q: 7, z: 1}. What is prob of sequence fs?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/12 + y**3\/2 + 3*y**2\/2 + 3*y. Let k be w(3). Suppose -20 = -d - o, -5*d + k*d + 3*o = -50. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + (21 + -3 - 6) + (25 - (14 + 19))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -185*p + 5. Let f = 75 - 141. Let l be (-2)\/4 + f\/(-12). Let t be v(l). What is t rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46727.91466 + -46727. Round y to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 230?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*d + 1. Let g be ((-40)\/(-50))\/(6\/285). Suppose b + b + 3*h = 12, d*b = h + g. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2933581?\nAnswer: 7, 19, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 + 6*m + 5. Let p be v(5). Let l be (-150)\/(((-9)\/2)\/3). Calculate the greatest common factor of p and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -54.842 and -57776.48?\nAnswer: 57721.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1698.87349 + 1699. What is m rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-690)\/30)\/23)\/((-39)\/(-1430)*-2).\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (144\/30)\/(-8)*(-270)\/(-1377)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8958898 and 3978?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m + 0*m + 4*m. Let h be (-564056)\/(-20) + -3 - (-24)\/20. Let u(s) = -h*s + 28201*s + 10*s**2. Determine u(x(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 362 and -1.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 295 - 196. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940384 is divided by 81.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - -56. Let y = c + -85. Let f be ((-1)\/(1 + 0))\/103*2. Which is greater: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*g + 94*g**5 - 3*g + 650*g**5 + 206 - 390 + 226 wrt g.\nAnswer: 14880*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2 + 13*y - 4. Let g be i(6). Let h(k) be the first derivative of -1\/2*k**g + 1 - 6*k. Determine h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74657450 to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/9 + (-14)\/(-6). What is the third derivative of -2*o - 722*o**4 + 793*o**k + 2*o - 54*o**2 wrt o?\nAnswer: 1704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/9 + 28\/6. Suppose 5*r - 6 = k. Suppose -r*q + 48 = 3*x + 3*q, -4*q + 1 = -x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/27 or 2.28?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1080810 rounded to the nearest ten thousand?\nAnswer: -1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + 8.85. What is the biggest value in t, -2, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197288 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*33\/(-44))\/((-3)\/6*27)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**2 + 3*a**2 - 2*a + 5*a**3 - 4*a**4 - 2*a**2.\nAnswer: -a*(a - 2)*(a + 1)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 5*t**2 - 3*t + 4. Let v be f(-4). Suppose -2*k - 3*j + 21 = v, -2*j + 24 - 62 = -3*k. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/4)\/((-8)\/32). Put v, -0.6, 1\/2 in ascending order.\nAnswer: v, -0.6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 9911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:04 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226644.\nAnswer: 2, 3, 11, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 7*r - 144. Calculate the remainder when r is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 7*h + 2*h + 24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:19 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 5 (c) -2\/9 (d) 2\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 30169200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2662*q - 2659*q - f = 7, -6 = -4*q + f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a = 35. Let w be 1 + a\/((-2114)\/(-300)). Let c = 307\/755 - w. Which is smaller: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-12)*8)\/((-3)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 - 4 = 0. Suppose -5*u = -3*t - 7 - 0, 4*u + 2*t - 10 = 0. Which is the closest to -8? (a) u (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -7. Calculate the common denominator of 834\/(-60) + 4 + -1 and (3 - s)\/((-32)\/58).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 24 + 24 = h, 4*h + n - 148 = 0. Suppose -2*f = q + 9 + 18, -f = -q - h. Calculate the common denominator of -55\/14 and 5\/(-2)*q\/50.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence titi when four letters picked without replacement from iitiixixitiiiiiittt?\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -27. Let d be (-1 - 0)\/(z\/44). Suppose -2*r + d*b + 1169 = 5*b, 0 = 5*r + 2*b - 2925. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 69364*f**2 + 1102647140*f - 3544528908448.\nAnswer: (f - 2728)*(f + 36046)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20512965 is divided by 88?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 74*q**3 + 1484*q**2\/5 + 1496*q\/5 + 16\/5 = 0.\nAnswer: -2, -2\/185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-42)\/(-15) + -2 - 1015999360\/(-800). What is r rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -13*j**3 + j - 17. Let z(k) = -3*k**3 - 4. Let t be -3*(4 + -2 - 3). Suppose m = -t + 12. Give m*z(o) - 2*f(o).\nAnswer: -o**3 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 444330134?\nAnswer: -444330200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6018 and 3172902?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1477 less than or equal to -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 11*m**2 + 2874*m - 42212. Give o(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10484 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -7405, 2\/89?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l**(2\/9)\/l)\/l)\/((l**6*l)\/l)*l*l*l\/(l*(l**(-2\/23)\/l*l)\/l)*l*l*l\/l**(-16))**(-39) assuming l is positive.\nAnswer: l**(-41197\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-42))\/((-7)\/3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**7\/231 - n**6\/165 - 3*n + 1. Let w(x) be the first derivative of s(x). Determine i, given that w(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + -0.3. Suppose -3*w + 6 = 0, -2*r + 4 = 3*w - 2. What is the closest to -1 in 2, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 j, and 2 u when four letters picked without replacement from jjuueuumjmj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7534 divided by 64146\nAnswer: 3767\/32073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 14*s**2 - 9*s - 11. What is the tens digit of o(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -10 + 10 + 156001*g**2 - 10*g. Let u be a(10). Suppose k = -k - u. Round k to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140334, -561338, -1263014, -2245362, -3508382, -5052074, -6876438?\n\"Answer: -140336*r**2 + 4*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 8*t - 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 12) in base 5?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4, 5, -0.5, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 11:49 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - 4 - (147 - 143)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 7*o**2 + 2*o - 19. What is the remainder when s(-6) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ca14 (base 13) in base 14?\nAnswer: 168d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16 = 9*f. Solve 5 = f*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5220*x**3 + 2*x + 1. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 64\/56901?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 268\/3. What is the nearest to 0.1 in 0.04, -3, r?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1491 + -2426. Let c(m) = -34*m - 708. Let d be c(25). Let x = b - d. What is x rounded to the nearest 10?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 17158.\nAnswer: 446108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 3789?\nAnswer: 32\/3789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*f - 121*f + 17 = -5*s, 4*s = 4*f - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 9*b + 3. Let m = 28 - 19. What is the units digit of k(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 5. Let h be t(-3). Solve h*l + 0*m + 18 = -2*m, 2*l + 14 = -2*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grhn when four letters picked without replacement from hnrgrnnrnrh?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/89? (a) 3\/2 (b) -0.038 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (25 - (-560)\/(-10))*(6*-186 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43401043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/124201 + 10804867\/38502310. What is the common denominator of i and -68\/45?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75227.485 + 1\nAnswer: -75226.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**5\/20 + o**4\/2 + o**3\/6 - o**2\/2 - o. Suppose -100 = 3*d - 28*d. Is p(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgqidjjfg. What is prob of sequence qqif?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23607037.8 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*b - 6, -2*v - 3*b - 6 = -3*v. Let k be (-2 + 0\/3 - v)*0. Solve k = 2*h - 0*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*a - o, -3*o - 6566 + 6572 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -129.7 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - 76. What is the second derivative of -14*r**2 - 10*r - 5*r**2 + 7*r**2 - 11*r**b wrt r?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 6 - 21, z = -m + 18. Let n(y) = y**3 + 2*y**2 - 2*y + 1. Let j be n(1). Solve 5*t = -j*r + 6, -3*r - 2*r = -3*t - m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556 is divided by 122?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 3)\/(3\/(-2)). Factor -2*n**4 - 2*n**3 + 3*n**2 + 2*n**5 - 3*n**2 + x*n**2.\nAnswer: 2*n**2*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5033, -5034, -5035, -5036?\n\"Answer: -f - 5032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*g + 44 + 12 - 56.\nAnswer: -57*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 12. What is the derivative of f + 2 - 3 + 2*f + h wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1026\/2 + (1 - 3). Let x = -196 + f. Let v be (3 + -1)\/(((-6)\/105)\/(-1)). What is the greatest common factor of v and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 10*p**2 - 6*p + 7. List the prime factors of y(-10).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*k - 28 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 4 + 2*w**3 + w**2 + 2*w**4 - w**3 in the form b*w**3 + q*w + l + a*w**4 + o*w**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -541, -800, -1059?\n\"Answer: -259*l - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 4. Let p(u) = u - 15. Let i = 7 + 4. Let t be p(i). Sort t, -1\/5, x in increasing order.\nAnswer: t, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805443 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 8 = 2*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 376136226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**6\/540 - 11*z**5\/270 - 13*z**4\/36 - 5*z**3\/3 + 93*z**2 + z - 5. Let x(h) be the first derivative of k(h). Factor x(m).\nAnswer: -2*(m + 3)**2*(m + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 502 and 7377894?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -313259 - 22?\nAnswer: -313280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((h + 2*h - 5*h)*(6 - 4 - 1) + h - 4*h + 4*h)*(-19 + 4 - 8) + (-6*h + 3*h + 4*h)*(4 - 4 + 2) + 6*h - 8*h + h as x*h + f and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -34. Suppose 2*y + 2*v = -m*y + 142, 0 = -3*v. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*q = 7*q + 24, 2*h + 4*q = 0. Let c be (-18)\/10*(1 - h). Suppose -5*y + 89 = c. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0388 - 5.0388. Which is the fourth smallest value? (a) w (b) -10 (c) 1 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1476912187 - 1.066\nAnswer: 1476912185.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is da - 15?\nAnswer: c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 13 = 2*q, 0 = -q - 2*q + k + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u. Let g(o) = 12*o**3 + 11*o**2 + 20*o. Let i(z) = 2*g(z) - 22*k(z). What is the second derivative of i(x) wrt x?\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-6)\/(-5)*((-27030)\/54)\/53?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2)\/l)\/l*l*l**(-2\/5))**(-3)\/((l**(-2\/7))**(3\/7)*l\/(l*((l\/(l*l**(-3)*l))\/l)\/l*l)*l**(-7)) assuming l is positive.\nAnswer: l**(4489\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -947?\nAnswer: -189.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - c**2 - 2*c. Let a be l(-2). Let o = -12 - a. Let n be o\/(-18) - (-2)\/(-36). What is the smallest value in n, -4\/5, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**4\/4 - 2*y**3\/3 + 3*y**2\/2 + 3*y - 6. Let z be o(-2). Let q be (-1)\/z - (-70)\/15. Solve -q = 4*w - 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -4, 9, 1 in decreasing order.\nAnswer: 9, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/27 + 128*4\/(-36). Let f(v) = -15*v - 63. Let m be f(y). What is the highest common divisor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(54)*1).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 2. Let n be s(-5). Suppose -3*l + n*z = l - 39, 4*z + 31 = 3*l. What are the prime factors of (-2)\/((-3)\/l - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 6*c + 21. Let s(o) = -o**2 + 4*o - 22. Give 2*h(l) + 3*s(l).\nAnswer: -l**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-10)\/80*-36)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -255, -243, -221, -195, -171?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -2\/13 (c) 0.1 (d) 30 (e) -2 (f) 2\/31 (g) -1.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 25 = -9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.3 (b) 5 (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 19 = -3. Let k(z) = 14*z**3 - z**2 + 3*z - 2. Let l be k(2). What is the greatest common factor of b and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.1725248 rounded to one dp?\nAnswer: -28.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 349748705 and 35?\nAnswer: 2448240935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000010010111100101000111010 - -100?\nAnswer: 100000010010111100101000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1245\/90)\/(-1))\/((-248)\/930*(-5)\/8).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4 + 3 + sqrt(245) + sqrt(245))*-2)**2.\nAnswer: 1008*sqrt(5) + 4244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 666 - 139. List the prime factors of f.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/4, 0, -0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 10. Suppose 8 + 2 = -o*g. Calculate the common denominator of -4 - g - (-59)\/(-12) and 21\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 143098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -17 + 1290\/75\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 - 17479 = -533*k - 480*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-210)\/77) + (-1 - -2). Let a = 162 - 162. What is the closest to -4 in a, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 18 = -2*y, 18*y - a = -31 + 128 + 13 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -114322302021?\nAnswer: 114322302030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 67\/5 of a century?\nAnswer: 16080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73219 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 8 = -3*a + 5*a, 2*c - 6 = -a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -141*w**3 - 7*w**2 + 14*w - 8. Determine z(2).\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 28. Let d = t - -18. What is the second derivative of 13 - 6*k + 3*k + d*k**2 - 13 wrt k?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*q + 13058. Let n = -1229 - q. What is n rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7772 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 - 2*g + 1. Let i(p) = 8*p**2 - 21*p + 12. Let d(s) = -i(s) + 2*l(s). Calculate d(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10417961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)\/p)**(-2\/13)*((p\/p**0*p)\/p)**(-42))**(-1\/4) assuming p is positive.\nAnswer: p**(817\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -1\/12*n**2 + 27 - 1\/30*n**5 + 1\/18*n**3 + 0*n + 1\/24*n**4. Suppose i(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*a*n**4 + 22*a - 2*n**4 + n**2 + 4*n wrt n?\nAnswer: -420*a*n**2 - 24*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z - 1352 = 347*z - 62*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 15. Let k be c(7). Let h be -52 + 3\/k - 0. Is 3\/(-6)*2*h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126 or -28094\/223?\nAnswer: -28094\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.4870217 to three decimal places.\nAnswer: -3.487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**5\/20 - l**4 - 11*l**3\/6 + 9*l**2\/2 + 8*l - 1. Give b(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23788 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 10 (c) 677.07 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o*(o*o\/o**6)\/o)\/o*o)\/(o**(-2\/7)\/o))\/(o\/((o\/(o*o*o**3))\/o)*o**(-3)))\/((o**2)**(-31)*(o**2*o)**(4\/7)) assuming o is positive.\nAnswer: o**(389\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15087340.\nAnswer: 2, 5, 754367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 10. Suppose d + c*d = 21. Solve -d = -o + 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 2460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355 divided by 15.\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 1. Let p be v(2). Let y be p + 8 - (-4 + 4). Let r be (y - (-15)\/12) + 2\/(-8). Do -3 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128151 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(3 - -2 - 2). Suppose -4*p - 5*q = -26, q = 3*p + p - 14. Suppose 1 + p = -5*t, -d*o - t + 23 = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4354, -4354, -4356, -4360?\n\"Answer: -i**2 + 3*i - 4356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41990 - 41984. Let q(k) = -2*k + 4. Let v be q(5). Let g = -2 - v. What is the second smallest value in g, -0.01, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, -3, 3\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 159867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17c35 (base 14) to base 12.\nAnswer: -2a89b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 134205 divided by 389?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 79, 118, 155?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - y**2 - 2*y - 9 - 7 - 56*y**3 - 25 + 2*y**2 to a*y**3 + d*y**2 + g*y + z and give a.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**4 - 1305*k**2 + 1306*k**2 - 3*k**3 - 3*k**3 to the form j + h*k**3 + n*k**2 + a*k**4 + g*k and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17799.2 - -17799. Which is the smallest value? (a) u (b) -0.4 (c) 209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197160 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -334?\nAnswer: -33.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3885 divided by -1?\nAnswer: -3885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1372494 and 423429.\nAnswer: 39802326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -207 - -309. Calculate the remainder when o is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4216 and 6426.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 54725 = 4*u + 137023, 0 = z + 3*u - 27411. Calculate the greatest common divisor of 42 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - n = 3*y - 20, -35 = 5*y - 2*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 25*t - 49. Let c be l(-27). Solve 2*k + 0*k - 5*p = -21, c*k + 24 = 3*p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1657, 3698, 6137, 8968, 12185, 15782?\nAnswer: 19753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 112*(-21)\/(-1680)?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160193458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let k(p) be the first derivative of -1 + 0*p - 1\/3*p**3 + 0*p**f + 0*p**6 + 0*p**5 + 0*p**4 + 1\/7*p**7. Find the third derivative of k(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -154 - -1?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ggggggggugggggggggg.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11279 - 11279 + 4*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -984*x - 635. Does 40 divide d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -724 - -2205. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 98, 376, 838, 1484, 2314, 3328, 4526?\n\"Answer: 92*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1190 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/18 + -95*(-12)\/270. Let z be (-18)\/12 - (-1 + 6\/u). What is the second smallest value in 0.1, z, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -5.5\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335, -360, -409, -494, -627, -820, -1085?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + -2)*-3.\nAnswer: -3*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 133 - 131.73. Let u = z - 1. What is u rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/5*2)\/(13\/(-130)). Let f be x\/(-4 - (-96)\/20). Suppose 0*d + 4*d - 12 = 0. Solve 0 = f*b + 28 - d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 128\/9 (c) 0.5 (d) 3 (e) -1\/6 (f) -29 (g) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13525 and 245.9.\nAnswer: -33.257975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/(-42) + (-45)\/(-42). What is the closest to -11 in -15, z, 3\/8?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 19*l**2 + 3*l + 17. Let z(i) = -8*i - 39 - 24*i**2 + 27 - 33*i**2 - 38. Let m(f) = 8*n(f) + 3*z(f). Differentiate m(g) wrt g.\nAnswer: -38*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -392400 to the nearest 10000.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(125)*-4 + (sqrt(125) - (sqrt(125) + 2 + -1 - sqrt(125))) + -4 - (((-1 + sqrt(125) - sqrt(125))*-3)**2 + (sqrt(125) - (5 + 0 + sqrt(125))**2)).\nAnswer: 30*sqrt(5) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54528\/(-16640))\/(36\/156).\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -60 (b) 0.2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*l**2 - 83*l**2 + 23*l**2.\nAnswer: -164*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 1. Let h(z) = -13*z - 4. Calculate -h(f) + 3*l(f).\nAnswer: 7*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -292310289*c*y**3 - 1068659*c*y**2 - 38*c wrt y?\nAnswer: -1753861734*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q**2 - 6*q - 36. Let a be p(4). Solve -5*t + 21 = -4*w, 6*w - 7*w - a*t = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 614466 and 22.\nAnswer: 6759126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1407297\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1706 = -n - 2*n, n + 4*u = 573. Let c = n - 248. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 15 = -3*q, 28*q - 20*q + 42 = 3*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7766257 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1627555600?\nAnswer: 2, 5, 11, 107, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33491, 67040, 100589?\nAnswer: 134138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(-90*127\/137160)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 + 3*p**2 - 5*p + 3. Let c(h) = 30*h**3 - 17*h**2 + 29*h - 17. Let x(a) = -6*c(a) - 34*l(a). What is the second derivative of x(d) wrt d?\nAnswer: -60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 61, 34, -27, -134, -299?\n\"Answer: -2*k**3 + k**2 + 6*k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2 + 2 - (sqrt(30)*1)\/sqrt(10)) + -2*(sqrt(9)\/sqrt(3) + 1).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(45\/(-10) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4094227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:02 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (84\/12)\/(0 + 1). Let h = m + 27. What is the greatest common factor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v + 485 = 56*v. Solve -v*z = 37 - 42 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8610, 2, -84 in increasing order.\nAnswer: -84, -4, 2, 8610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -4994289\/10 and -499428 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 0, -2, -8?\n\"Answer: -2*i**2 + 8*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-209)\/(-11) + 1 + -4. Let w = -12 + t. Suppose -w*a + 76 + 108 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - f**2 - 3*f - 1. Let g be (((-24)\/10)\/(-3))\/((-2)\/(-10)). Suppose 0*v = 2*v - g, 0 = 5*o - v + 12. Give h(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8138*v + 6363*v - 16602*v.\nAnswer: -2101*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(252)\/sqrt(4))\/(1*(sqrt(9) - (sqrt(9) + sqrt(27)\/sqrt(3)))) - ((sqrt(112) + sqrt(112) + 0 + sqrt(112))*-5 + (sqrt(112) - 1*-1*sqrt(112))))**2.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*u = 5, -5*u = -9*u - 20. Solve -11\/3 + 1\/3*n**4 + g*n**3 + 10\/3*n**2 - 4*n = 0 for n.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 24*o + 567. Sort -5, o, -4, 2\/17 in descending order.\nAnswer: 2\/17, -4, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 62260, 124523, 186816, 249145, 311516, 373935, 436408, 498941?\n\"Answer: t**3 + 9*t**2 + 62229*t + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, r: 5}. Give prob of picking 1 d and 3 r.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 1, m: 2, e: 3, h: 3}. Give prob of sequence ehm.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758 a factor of 5028884604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5514965, -11029945, -16544925, -22059905?\nAnswer: -27574885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344, 610, 796, 902, 928?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16650 + 2*r + 16650.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*q**3 - 92*q**3 - 103*q**3 + (0*q + 0*q + q)*(q**2 + 0*q**2 - 2*q**2))*(0*q - q - 3*q) to j*q**4 + t*q**2 + u + d*q**3 + g*q and give j.\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 9:23 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - -3)*((21 - (-2792)\/(-140)) + -1).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 34*c**3\/9 - 12116*c**2\/9 - 874*c + 476 = 0?\nAnswer: -1, 6\/17, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 7*o. Let u(r) = 806066*r. Calculate u(z(w)).\nAnswer: 806066*w**2 + 5642462*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 181947 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-5)\/(-10))*34. Suppose 0 = -d*r + 12*r - 60. Let s be (-777)\/(-9) + 4\/r. What is the greatest common divisor of s and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 - -58.9. What is the closest to x in -2\/3, -4\/9, -6?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(105)*-1*5)\/sqrt(7))\/(sqrt(20)*-3 + 4*1*sqrt(5)).\nAnswer: -2 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 98*s**5\/13 - 98*s**4\/13 - 50*s**3\/13 + 50*s**2\/13 = 0.\nAnswer: -5\/7, 0, 5\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 22*y. Let o(b) = -b**2 + 2. Let f(k) = -3*k**2 + 5. Let n(u) = 2*f(u) - 5*o(u). Determine n(r(l)).\nAnswer: -484*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -43)\/(1 - ((-26)\/(-6) + -4)). What is the highest common factor of r and 9519?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 86*y + 5681. Calculate the least common multiple of u(-41) and 15.\nAnswer: 6465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 7*j - 75600. Round j to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 25 - 40 - (-4 - (0 + 1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31644, -127017, -285984, -508551, -794724?\n\"Answer: -d**3 - 31791*d**2 + 7*d + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5649 divided by 39.\nAnswer: -1883\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 8*u + 4*u)*(1 - 3 + 1) + 6*u - 3*u - 2*u + (0 + 4 - 2)*(-u + 1 - 1) + 3*u + 3 - 3.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + o**2 + 0*o + (3*o + o - 2*o)*(-o + 3*o + o) - 130*o**2 - 61 + 63*o**2 + 69*o**2.\nAnswer: 9*o**2 - 61","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + 3 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x**(-4\/9)*x))\/x)**(5\/3) assuming x is positive.\nAnswer: x**(20\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 6*n**2 + 6*n**2)*(-n - 5*n + 3*n) + (0 + 0 + n)*(-n**3 + 3*n**3 - n**3).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**2 + 28*j - 24. Calculate the lowest common multiple of 18 and w(-4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/103523328 and 87\/1223680.\nAnswer: 517616640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - (-4 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 3*f**5 - 13*f**2 + 11*f - 10. Differentiate j(w) wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 2)\/((-4)\/4). Let y(g) = 40*g - 26. Let j(z) = -58*z + 37. Let x(u) = 11*j(u) + 16*y(u). Let v(t) = -t + 9. What is o*v(k) - 3*x(k)?\nAnswer: -2*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 11493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 32 = 11*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356 and 7953040?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9252 - 11760 = -202*n + 13450 for n.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635998443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87, -94, -101, -108, -115, -122?\n\"Answer: -7*x - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*o + 16, -g - 17 = -4*o - 2. What is the tens digit of g\/(5\/(-760)*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let n = -91 + 99. Solve -i - 1 + n = 3*q, 0 = -2*i - q - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261 + 6*y - 136 - 125.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 11*k + 176 - 14 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 37 = 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/2)*m**(-6))\/((m**(-2)\/m)\/m**(-5\/2)) assuming m is positive.\nAnswer: m**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 0)*(2*t**4 - 1 + 1) + (4 + t**2 + 11 - 26)*(-4*t + t**2 + 4*t) in the form x + f*t**4 + o*t + q*t**3 + j*t**2 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(3*v - 2*v + 2*v)*(-v**3 - 3*v**3 - 2*v**3).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2490*u**2 + 2673*u**2 - 186*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/77 and -133\/726?\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/9 + 118*i**4\/3 - 3628*i**3\/9 - 1328*i**2\/3 = 0. What is i?\nAnswer: -1, 0, 12, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 23 + -8 + -9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 1 + 5 = 0. Let b = -2 + s. What is the tens digit of 12 - b\/1*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(2*j - j - 2*j) + 0*j + j + j - 4*j - 2*j + 4*j + 59 - 59 - 5*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77408 + 309*f**2 + 154808 + 2934*f**2 - 77400.\nAnswer: 3243*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567*i**2 - 5*i - 2 + 1 - 9124*i**2 - 7553*i**2 + 1087*i**2.\nAnswer: -15023*i**2 - 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -16 - (-20 + 27)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/4 + 820593*s\/2 + 820596.\nAnswer: -3*(s - 547064)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 310569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43842 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 344107 and 1414?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35249, 141534, 318679, 566684, 885549?\n\"Answer: 35430*b**2 - 5*b - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 601*i - 903. Let p(o) = o**2 - 301*o - 451. Let y(j) = 3*h(j) - 5*p(j). What is the first derivative of y(r) wrt r?\nAnswer: 8*r - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.14 times -591\nAnswer: -673.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 + 2*k + 2. Suppose -2*j + j - 5*y = 15, 4*j = 4*y - 12. Let c = j - -3. Let o be m(c). Round o to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*b + 3 = 112*b. Is -3\/11 at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4490*g + 3374 = -4008*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let r(y) = -256465*y**2. Let o(w) = -1872*w**2. Let c(x) = 275*o(x) - 2*r(x). Determine c(v(j)).\nAnswer: -1870*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 3. Suppose 2*z = 3*k - 31, 3*k + 3*z = 6*k - 36. Let u(r) = 23*r - 166. Let s be u(k). Calculate n(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 1. Let q(i) = -2*i + 50. Let y(u) = -h(u) - q(u). Let k be y(13). Let o = k + 44. Let v(m) = -m**2 + 4*m - 3. Give v(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/6, -449486 in decreasing order.\nAnswer: 0.1, -1\/6, -449486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 37 - 4 - 5 + 3*k**2 - 11 as c + w*k + s*k**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 5 (c) -241\/24 (d) 112\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 4083.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -581 + 5831\/10. Let z = 2723 - 24472\/9. Calculate the common denominator of m and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54.99999825 - 55. Round u to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 14*o + 10. Let a = -141 - -154. Give x(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + v + 2 - 12 = 0, 18 = -2*i + 4*v. Let c be (2\/(-4))\/(2\/16). Suppose 8*q + 5*q + 5*q = 0. Put c, q, i in decreasing order.\nAnswer: i, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10922 by -2.\nAnswer: -5461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**3*x**6 - 2*p**3*x + 3*p**2*x**2 + 9*p*x**2 - 7*p*x - 32906*x**6 wrt x.\nAnswer: 360*p**3*x**3 - 3948720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-27) + 552\/54. Suppose 9*j = 4*j + f. Solve -10 = m + m - 5*u, 3*m - u = -j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.5. Let s be (-2843)\/(-4) - (-52)\/208. Let g = s + -694. Which is the second smallest value? (a) k (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**15\/y))\/y*y**(-7) assuming y is positive.\nAnswer: y**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.1 - 10.98. Let f = 0.72 - l. Suppose u + 4*u = s + 34, 25 = 3*u + 4*s. Put -4, u, f, 1\/3 in ascending order.\nAnswer: -4, f, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 350.78 + -347.2818. Let q = j - 3.5. Round q to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17850*t**6 - 91*t**2 + 2*t - 2?\nAnswer: -2142000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/55 and -79\/77055?\nAnswer: 77055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.22 + 10.78. Let w = d + -9. Let q = 0.38 - -0.02. What is the third biggest value in 3, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/29))**(-27)\/(z**(6\/7)*z**(5\/18)))**(9\/5) assuming z is positive.\nAnswer: z**(-10951\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyn when three letters picked without replacement from vvnkyqkg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29650*g + 27323*g + 165217 = 0 for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.17 + -3.688. Let h = q + 0.318. Put h, 7, 1\/2, 2\/5 in increasing order.\nAnswer: h, 2\/5, 1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 - 2*x**4 - 48*x**3 + 176*x**2 - 224*x + 96.\nAnswer: 2*(x - 2)**3*(x - 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 255313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 4) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7660 + -7623. Let a(t) = 14*t**2. Suppose 0 = -5*m - 3*y + 7, m = 3*y - y - 9. Calculate the remainder when u is divided by a(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1405 - -827. Differentiate 2188 + 40*c**2 + 3*c - d - 3*c with respect to c.\nAnswer: 80*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -131. Solve 0 = -2*r + 6*r - y for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4720932 and 68\/182853.\nAnswer: 51930252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 580079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -18?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 42. Suppose -5*b + m = 4*o + 9, -3*o = -b + 14. Find the second derivative of 97 - 191 - j**2 - b*j + 94 wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*i - 6. Let k = -5 + 26. Let h = k - 21. Which is the closest to 0? (a) i (b) 0.05 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 452c3c - c?\nAnswer: 452c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 - 305 = 42*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 57726 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 552*j**2 + 8897*j - 18698. What is a(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t + 110. Suppose y = -y + t. Suppose -5*g + 10 = -3*g. Calculate the highest common divisor of y and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9526 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 282 - 4?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. What is the third derivative of -2*k**4 + x*k**2 + 23 - k**4 - 23 wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 12:24 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 10*c + 7. Let u be r(-9). Let o be (-2)\/(u\/(-8)*-2). What is the closest to 1 in 3\/4, -4, o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + -2*sqrt(70)*-2 - sqrt(70)) + sqrt(70) + (-4*sqrt(70)*-3 - sqrt(70)))\/(((1*sqrt(240))\/sqrt(12))\/(sqrt(6)\/sqrt(3)*6)).\nAnswer: 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 8*q**2 + 8*q - 3. Let h be a(2). Let u(p) = -p**2 - 16*p + 16. What is the remainder when u(h) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32538 and 47652.\nAnswer: 23492436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r = d + 11, 4*r = -3*d - 1. Let q be 0*2*r\/16 - -2. Solve -q*z = -5*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205732 and 149.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from {x: 4, l: 2, a: 3, k: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**24*v**41*v*(v\/(v**(4\/23)\/v))\/v*v*v\/(v\/(v\/v**(3\/11))) assuming v is positive.\nAnswer: v**(17344\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 713437105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848290 is divided by 924004?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2594820 to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 349462 divided by 7597\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 7*x + 17. Let w be k(7). Suppose 0 = -13*g + 2687 + w. Calculate the highest common factor of 26 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -14. Let o be (y\/(-6))\/((-3)\/(-28)). Suppose -40 = -2*v + c, c + o = v - c. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 3*b**2 - 3*b**2)*(2 - 2*b - 2) + 393591*b**2 - 393591*b**2 + 16451*b**3 as o + m*b**2 + c*b + y*b**3 and give y.\nAnswer: 16453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006487 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 - 21) + -38 + -1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2817820550 to the nearest integer?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 14*h**2 - 12*h - 26. Calculate r(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4033610 is divided by 576154.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 410365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 2. Let i be g(-1). Let h = 2 + -11. What is the units digit of i*(0 - (1 + h))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 5 - -14) + (5 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllililll. Give prob of picking 2 l and 2 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 + 12*t + 88. Let h be j(15). What is the greatest common factor of h and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-23 - (21 + -17))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0.2, -9, 18.722, -1 in descending order.\nAnswer: 18.722, 14, 0.2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7779132 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f - 49. What is c(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28891?\nAnswer: 167, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 188036 and -4.\nAnswer: -752144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 5*a**2 - 2*a. Let p be n(4). What is the tens digit of (-6)\/p - 574\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*z**2 + 2 - z**2 - 11*z**2 + 3*z**2 wrt z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001010210102 (base 3) in base 12?\nAnswer: 444102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*k + 42*k = -103 - 89. Let z(l) = -1 + l**2 - 3 - 2*l + l. Let a be z(3). Solve -5*x - 19 = k, -a*x - 33 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/13*j**3 - 11520\/13 - 148\/13*j**2 - 2752\/13*j = 0. Calculate j.\nAnswer: -8, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 68*h**2 + 217*h + 54. Let k(v) = -v**2 + 4*v + 1. Calculate the smallest common multiple of k(3) and z(71).\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8730.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5))**12*(g\/(g**(1\/2)\/g))\/g**(1\/22) assuming g is positive.\nAnswer: g**(-52\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88395694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.968340852 and 1.909.\nAnswer: 2.877340852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l + 219. Let n be a(21). Let q(d) = 5 + 161*d + n*d - 318*d. Determine q(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 536179.2 nanometers?\nAnswer: 536.1792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/15060 and -169\/286140.\nAnswer: 286140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, -4, -5, 5 in decreasing order.\nAnswer: 5, 2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - a + 1. Let z(t) = 21*t**2 - 6*t - 61. What is -6*i(o) + z(o)?\nAnswer: 3*o**2 - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 24 - 17 + 13*g**2 - g - 3*g + 8*g. Is f(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**5\/20 - v**4\/2 - v**3\/6 + 3*v**2 - 427*v. Let h(r) = r**2 - 6*r - 5. Let y be h(6). Calculate n(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2094 and -374.\nAnswer: -783156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2105, 2103, 2101?\nAnswer: 2099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 + 3 - 3 + 134*g**2.\nAnswer: 5*g**3 + 134*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1253568 and 274218?\nAnswer: 8774976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1558 + -1.1658. Which is the nearest to 0.2? (a) 0.8 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u - 1. Let y(a) = 3*a + 2. What is -3*d(q) - 2*y(q)?\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24793 + 38229 = 58*i + 9430. Calculate the remainder when i is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb2e80 + -5?\nAnswer: bb2e7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/6*471\/11 - -4 and 119\/(-10)*1\/(-2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -21*k + 666, 1347*y - 56 = 1352*y - 6*k + 5*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 3:28 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*z + 1, 5 = -z - 4*z + 5*f. Solve z*d = -2*d - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -98*p - 151. Let t be q(-3). Suppose 0*c + 8 = 4*c. Suppose x - 7 = 2*r, c*r - 58 = -4*x - 0*r. Calculate the greatest common factor of t and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*w + 12, -4 = -j - 3*j + 3*w. Suppose -5*y = -4*c - 60, 0*c + j*y = c + 15. Round c to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -3)*1 - -35. Let j(w) = 6*w - 4. Let r be j(3). Suppose -4*b + k = -4*c - r, -4*b - 3*c + 55 = 0. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*i**2 - 1014*i**2 + 144*i**2 - 638*i**2.\nAnswer: -1650*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-90)*(-1)\/1*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -241, -486, -735, -988, -1245, -1506?\n\"Answer: -2*j**2 - 239*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000673 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/((-4)\/108*-3). Let p = v - 674. Let s = p + 671. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5 + 52*a**4 + 426*a**3 + 1144*a**2 + 968*a = 0. Calculate a.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20556.65ml?\nAnswer: 20.55665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1326\nAnswer: -1\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2 (c) -195 (d) 27 (e) 0.4 (f) -1\/84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -31.804. Let o = 81.804 - q. Let g = o - 82.00038. What is g rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2. Suppose 27 = -3*j - 3*g, -5*j + 2*g - 17 = -0*j. Let n(x) = x**3 - 7*x**2. Calculate j*z(r) + n(r).\nAnswer: r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 20*x**2 - 21*x + 27. Let c be y(9). Suppose 5*q = c + 1227. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -169.5336636.\nAnswer: -171.5336636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d + 78. Give t(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 17*d**2\/2 - 67*d + 1. What is the remainder when 138 is divided by n(6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -90, -196, -334, -498, -682?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 3*t**4\/2 - 2*t**3\/3 - 3. Find the third derivative of y(g) wrt g.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54600 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 10) to base 3\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 100\/40*8\/5. Suppose -7*y + 17 = -h. Solve 4*p = 6*p + 4*b + 16, p + y*b = -10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f - 10. Let h(g) = -g. Let x(m) = -8*h(m) + q(m). Calculate the least common multiple of x(2) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*c = -5*z + 218, 0 = 5*z + 5*c - 220. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1266 in 4, 15.3, -55?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5430 to the nearest one hundred.\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4 = -12. Let r(w) = -2*w**3 - 138*w**2 - 134*w + 119. Let g be r(-68). Which is bigger: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 781917635?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 - -210. Does 5 divide m + (4 - (0 + 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/(-23760)*11)\/((-6900)\/(-1242)).\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1030, -8250 in increasing order.\nAnswer: -8250, -1030, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670785 divided by -2955.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -5 (c) 4 (d) 2\/7 (e) 59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 9*a - 4 = 0. What is a?\nAnswer: -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 45297 + 4523 = 0. Is ((-4)\/4*2)\/((-10)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*z - 438, -5*b = 2*z - 56 - 653. What are the prime factors of b?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/6*(-24)\/(-20). Let r = -6 - -4. Let t be (-1)\/((2 - r) + -2). Which is the second smallest value? (a) 1 (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6492750 is divided by 2783.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1375, -5492, -12347, -21934, -34247, -49280, -67027, -87482?\n\"Answer: p**3 - 1375*p**2 + p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -3. Let s be o*(0 + (-1 - -2)). Let q(y) = -y - 7. Let t be q(-5). Is s bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -2. Suppose x - 5 = s. Suppose -3 = 4*h - x. Solve 3*d + 17 - h = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -20*u**2 + 13*u - 48. Let z(j) = -7*j**2 + 4*j - 16. Let d(g) = -6*c(g) + 17*z(g). What is w in d(w) = 0?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 8307752*j.\nAnswer: -4*j*(j + 2076938)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1351*c**3*d*f**2 - 2*c**2*d + 26*d*f**2 - 37*d with respect to c.\nAnswer: 4053*c**2*d*f**2 - 4*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 5 - 6) + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (233 - 3*y - 453 + 232)*(-22*y + 15*y - 28*y) in the form k + b*y + x*y**2 and give x.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 32 = 4*s - 6*s, i = 4. Is (3678\/(-30))\/(2\/s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 33161?\nAnswer: -33154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - k**2 - 5*k**2 - 4*k + 8*k**2 + 4*k + (36*k + 57*k - 39*k)*(-4*k + 2*k + 3*k).\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/10*48\/156.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-177)\/6 - -31)*1416364\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwek when four letters picked without replacement from {w: 5, k: 2, e: 3, a: 3}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5*k - 1)*(379*k + 1212*k + 928*k)*(-2*k**2 + 3*k**2 - 2*k**2)*(-5 + 2 + 2) to f*k**3 + t + n*k**2 + a*k**4 + c*k and give a.\nAnswer: 12595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78191 = -54*z + 14797. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/(-252486)*83*2\/5*1*2?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13912758*k**2*o + 1005424*k**2 - 4*k*o**2 + 2*k + 68 with respect to o.\nAnswer: 13912758*k**2 - 8*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81093, 1, 15, -2 in ascending order.\nAnswer: -2, 1, 15, 81093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let v be w(-2). Let m = -0.134 + 10.934. Let o = m - 11. Which is the biggest value? (a) o (b) 0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112121 (base 5) to base 15\nAnswer: -12e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlxjiijigguj. What is prob of sequence jjul?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173 - 173.0226. Round n to three decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01307 * -0.5.\nAnswer: -0.006535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + 50463?\nAnswer: 50416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p*p**(-1\/5)))**36\/((p*p*p**(-2\/21))\/p)**(-4\/5) assuming p is positive.\nAnswer: p**(-2948\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.14 (b) 1\/7 (c) -5\/4 (d) 5 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*p**3\/7 - 141*p**2\/7 + 1062*p\/7 - 160\/7.\nAnswer: -(p - 5)*(p + 16)*(13*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43139 (base 14) in base 12?\nAnswer: -799bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 5 + 2 + 6 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 0*y + 2*y**2 - 1 - 2*y + y**3 + 3*y. Let o be u(4). Let a = 143 - o. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -7)*4\/(-3). Suppose 6*p = 3*p + n. Suppose -p - 2 = -3*x. Calculate the greatest common divisor of 8 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 39117 and -3.063542461.\nAnswer: 39113.936457539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21582 + 25038. Calculate the greatest common factor of 54 and u.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.152? (a) 6 (b) 1 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (82\/(-4))\/(-12*(-16)\/128)*-3\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6390 divided by 142\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23c (base 13) to base 12.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000021979702 rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -3825.\nAnswer: 2\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -151, -291, -393, -439, -411?\n\"Answer: 3*v**3 + v**2 - 164*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-50)*470*23\/((-184)\/8)\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - x - 188. Suppose 2*h + 2*f - 2 = 0, h + 0*f + 1 = f. Let c be q(h). Is c\/(-6) - 7\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4197949?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59.58 - -59.78. What is the biggest value in -2\/285, w, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) + (sqrt(153) - (sqrt(153) + -4)))*-1)**2 - (sqrt(153) + 3 + (sqrt(153)*3 - sqrt(153)))**2)*-1.\nAnswer: 54*sqrt(17) + 1370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 46. Let o = x - 13. Suppose -z - 4*z = -o. Solve -z*c + 5*c = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10*a - 3*a = 0. Suppose -1377000 = -a*b + 17*b. What is b rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 45*b**3 + 3*b**2\/2 - 1928*b - 1500. What is the derivative of u(w) wrt w?\nAnswer: 270*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 44*y**2 - 64 + y**3 + 110 as d*y + k*y**2 + w + z*y**3 and give k.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6637 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzc when four letters picked without replacement from ccfzkzkfz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/19 less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 - 2 = 0. Let t(m) = m - q*m + 3*m - 2 + m**2. Suppose 10*s + 21 = 51. What is t(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 140 = 34*s, 0 = -22*o + 24*o - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -48, -34, 14, 108, 260?\n\"Answer: 2*w**3 - w**2 - 19*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s**2 + 14*s**2 - 9 + 9. Let o(r) = 3*r**2. What is m(o(n))?\nAnswer: 81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.498 - -0.502. Let i be 3\/4 + (2 - 3). Which is the closest to -2\/3? (a) 7 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 439342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/1211 - -71489\/24220. Calculate the common denominator of -79\/6 and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 5.5\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6242 - 6896. Is -2 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*i**4 + 1 - 6*i + 8*i**4 - 13 + 2*i**3 - 15*i**4 + 7*i as d*i**4 + u*i**2 + l + y*i + t*i**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20\/747, -2, -121\/4, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552*l - 780 = 3083 - 6711 - 35240 for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 439450046938 + -439454419087.99798. Let y = -4372026 - l. Let t = y - 124. What is t rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 2:16 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 2*a + 3. Let g be x(-4). Let s be (-1999999)\/g - 3\/(-15). What is s rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 40\/55)*(-55)\/70?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1800 and 43\/900?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j + 22*j**3 + 27*j - 3*j**3 + j**3 - 79*j.\nAnswer: 20*j**3 - 26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19 or -127969?\nAnswer: -127969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(448) + sqrt(448))*1)**2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 + 58947612.\nAnswer: 58947703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*u - 229 = -3*y + 137*u, -3*y = -3*u - 231. What is the highest common factor of 133 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x - 98*x + 35*x + 34*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 342\/13067, 10, -3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d + 9. Suppose 0 = -z - 0 + 3. Let x be n(z). Let g be (-1580)\/140*(-7)\/(-4). Is x greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3 + 7*p + 0*p**3 + 2*p**2 - 5*p + p**3. Give n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 1, -2*o - 7618 - 22632 = -2*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - p = -30. Suppose p*a = 5*a + 6*a. Suppose 4*k + 5*g - 207 = -0*g, -3*g + 9 = a. Calculate the greatest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(-5\/2)*n))*n)\/n**(2\/9)*(n**(1\/2)\/n)**28)\/((n**(-6)*n**(3\/10))\/(n\/n**(-2\/5))**(-2\/47)) assuming n is positive.\nAnswer: n**(-19208\/2115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 52779.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 17*x**2 - 30*x - 1. What is the units digit of g(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by -4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 4 + -3 - 1*(3 + sqrt(432))) + 4 + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-2 - -17 - (36 + -27)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 2*b - h - 626, 2*b - 5*h = 586. Let n = 1017 - b. List the prime factors of n.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/716 and -55\/14?\nAnswer: 5012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 160\/(-25)*((5 - -2) + 3). Let b = f + 121. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*q + 2*b, 5*b - 6 + 1 = -5*q. Suppose -3*f + 186 = 3*h, -5*f = -q*f + 3*h - 302. Is f a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12\/7)\/g**10)**(-4\/7) assuming g is positive.\nAnswer: g**(328\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -727863748*r*u*v**3 - r*v**3 - 84455*r*v**2 + 2*r*v - r - 290*u*v**2 wrt v.\nAnswer: -4367182488*r*u - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + 0.01000037. Round q to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -811*y - 10600 = -546*y for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*x - 0. Let z be (-6)\/6*0\/x. What is the smallest value in 4, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, c: 2}. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 728389?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, u: 4, l: 1}. Give prob of sequence ltt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3425104.8 to the nearest 10000.\nAnswer: 3430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/390 + (-64)\/(-78).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 + -142.42. Let y = b + -0.08. Sort -2\/11, 0.9, -1, y in descending order.\nAnswer: 0.9, -2\/11, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.026, 0.3, 0.05, -1\/6, -0.1, -2?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8201 divided by -49\nAnswer: 8201\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 + 1911. Does 41 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 537*j**3 - 536*j**2 - 354*j + 354. Determine t(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, 7, -5\/17, 5, -36?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 225*z**2 + 886*z + 1341. Determine f(221).\nAnswer: 1783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -31. Let d(n) = n**3 - 9*n**2 + 8*n + 8. Calculate the remainder when r is divided by d(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 20*v + 32. Let z(k) = 7*k + 11. Let q(c) = 6*r(c) - 17*z(c). Let l be q(12). Let a = -15 + l. Solve g - a = 3*o + 2*g, -o = -3*g - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 11*v - 16. Let k be d(-10). Let c(q) = q**3 - 4*q + 2 - 8 + 6*q**2 + 3*q. Let r be c(k). Solve r*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114\/13 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 825 and 575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/8)\/((-1)\/46). Suppose 4*t = -q - t - 17, q = 5*t + b. Suppose 4*c = -q*y + 285, 3*y + 82 = 3*c - 158. Round c to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65)*2 + sqrt(65))*-5 - (sqrt(65) - sqrt(65)*-3*5))\/(sqrt(405) - 3*2*sqrt(405) - (sqrt(405) - (sqrt(405) + 1*sqrt(405) + sqrt(405)))*5)*4)**2.\nAnswer: 199888\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 227886.2kg in milligrams?\nAnswer: 227886200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -191, -631, -1487, -2897, -4999, -7931, -11831?\n\"Answer: -23*h**3 - h**2 + 2*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 44. Suppose 1 = t - 5*u - 25, -5*t + 3*u = -20. Is o equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 14620372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2 - 5 = 0. Let y(f) = 8*f**3 - 3*f**2 + 13*f + 21. Let q(p) = -3*p**3 + p**2 - 5*p - 8. Let w(a) = 13*q(a) + 5*y(a). Calculate w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -5 (c) -3 (d) -26.381\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 0)*3 + 5. Suppose -2*j = -4*m + 8, 0 = -3*j + 5*m - 1 - 9. Sort 163, v, j.\nAnswer: v, j, 163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 21 = -3*z + 44 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 315*a - 6097. What is z(17)?\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9249171kg to micrograms.\nAnswer: 924917100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4*(-1)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44502 (base 11) to base 12.\nAnswer: 313a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38975284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-1482)\/(-24)) + 336073\/(-4849).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) - 76\/10. Let n be 4 + (-228)\/48 + 9. Let h = n + p. Which is the nearest to -2? (a) 2\/3 (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -46970\nAnswer: -187880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2*f = -528151 + 528051, 136 = -5*h - 2*f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 60*g - 210 = 0. Let l(v) = -2*v - 6. Let n(r) = r + 3. Let m(j) = j + 3. Let p be m(-5). Give g*n(i) + p*l(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*d**2 - 26*d + 17*d + 12*d in the form c*d + t*d**2 + u and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -723412, -723417, -723422, -723427, -723432, -723437?\n\"Answer: -5*n - 723407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - -38)*2*(-2)\/(-50)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from {g: 1, o: 4, q: 2, p: 1, v: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -24*o + 2*o**2 + 2 + 17*o - o**3 + 4*o**2. Give b(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*((sqrt(243)*6)**2 + -5).\nAnswer: -157374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*a = 137*a - 234 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2670\/7 - -381. Let h be 1\/((-1)\/(-108))*(-2)\/3. What is the biggest value in -1, q, h, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 30. Is -10 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -s + 5*y, -14 = 3*s - s + 5*y. Let l = -12 + 7. What is the second smallest value in 0.1, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 46396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2. Let r(f) = -201*f. Give r(k(w)).\nAnswer: -201*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(-1)*((-5304)\/(-748))\/26\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 67, 183, 355, 595, 915, 1327?\n\"Answer: 2*f**3 + 16*f**2 + 54*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-33\/5)*v\/v**13)\/(v**(-10\/7)*v**(-26)) assuming v is positive.\nAnswer: v**(309\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - s**2 + 0*s**2 + 2*s - 2*s**2 - 2*s - 2*s**2 + 3*s**2 + s**2 - 2*s**2 + 2 - 2 + (-2*s + 2*s + s)*(2*s + 0*s - s) - s**2 + 2*s - 2*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -2*q**3\/3 - 9*q**2\/2 - 4*q. Let o be w(6). Let k = 59 + o. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3646545 (base 9) in base 6?\nAnswer: -110233105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (95004\/(-17052))\/((-18)\/28). Let d = 917\/3 - 301. Factor -44\/3*w**2 - d*w**4 + l*w - 2 + 2\/3*w**5 + 12*w**3.\nAnswer: 2*(w - 3)*(w - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 35, -0.5, -35?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*u - 3*u. Let w(k) = k**2 - 9*k + 7. Let g be w(u). Let y be (-5)\/(-20)*(g - -21). Solve -5*c + 5 = i - 1, -5*c = -y*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37068 and 1640.\nAnswer: 15197880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, c: 6, n: 2, h: 3}. Give prob of picking 1 g and 1 c.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 17 + 4 = 4*j, -2*q + 3*j = 3. Solve -3*i = 5*m - 4, q*m - 4 = -4*i + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571489.4 millilitres to litres.\nAnswer: 571.4894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = -m. Suppose 13 + 5 = m*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + be?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 34. Suppose -5*s - 21 + 3 = -b, b - 6 = s. Suppose 4*i - 26 = 3*z, b*i = -5 + 2. List the prime factors of f(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - -3*1 - -1. Suppose -2*c - 3*c - y*w = -206, -2*c - 4*w = -80. List the prime factors of 1\/(-2) - c\/(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) 0 (c) -11344\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3ba - 5?\nAnswer: -3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100499709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -33. Suppose 2*m - 2*c = 2*c + 174, -u*m = -c - 168. Is m 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 1155492047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-716 - -3)*470\/(-5405).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(5) + -1 + sqrt(25)\/sqrt(5) + 0 - (3 + (sqrt(5) - (-4 + sqrt(5)))**2 + -3))*4.\nAnswer: -88 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089284 to the power of 1\/2, to the nearest integer?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(57)\/(sqrt(75) + sqrt(3)) - (-1 + 0 + sqrt(19))) + 5 + sqrt(2736) + 0 + sqrt(2736) + -1)**2.\nAnswer: 1112*sqrt(19)\/3 + 369403\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 1, k: 4, b: 1, c: 2}. What is prob of sequence bc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 8:09 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:11 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 569040040 a multiple of 3400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45039.175 rounded to the nearest 10?\nAnswer: 45040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -1 + 4 + 77. Does 19 divide (-1)\/2 + o\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000088012775 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 - -145. Suppose h*o - 11713 = -8*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 38*i + 4*i - 45 + 11*i.\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11100 + 3?\nAnswer: 11103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52\/3 of a hour?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**3 + s - 2 + 2 + (-4*s + 4*s + 4*s)*(0*s - 2*s**2 + 0*s).\nAnswer: -12*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 + 1263*x - 1263*x.\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 189 = 5*v, v + 154 = 2*i - 15. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t = 4. Let u(f) be the first derivative of -2 + 0*f**t - f - 2\/3*f**3. What is the derivative of u(z) wrt z?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/(4\/((-16)\/(-2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)*x)\/x**(-2\/7))**(-43) assuming x is positive.\nAnswer: x**(-1333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 23*k**3 + 312*k**2 - 11*k - 25. What is z(-14)?\nAnswer: -1831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 21. Let g(o) = o**3 + 5*o**2. Let f = -10 - -5. Let n be g(f). Is x(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1, 3489, 14 in ascending order.\nAnswer: -3, 0, 1, 14, 3489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 94, 187, 268, 331, 370, 379?\n\"Answer: -g**3 + 100*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 8569401?\nAnswer: -8569402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301720964 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 219\/9 + (-1)\/3. Let y = d + -21. Solve 2*x - 6 = y*c, 0*x - 2*c = 3*x + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.1357 + 0.1357. Let g = 0.04 - 0.03. Which is the nearest to 0.1? (a) -3\/7 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5\/(-3)*360\/(-7800)) + -18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/28 in 0.25, -4\/11, 4\/3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 111, -1, -11 in decreasing order.\nAnswer: 111, 34, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) 5240 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*j = -12. Solve 0*i + j = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -972 divided by -243?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**7\/1680 - c**6\/720 - c**5\/30 - c**2. Let k(f) be the third derivative of t(f). Find the first derivative of k(i) wrt i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 58. Suppose h = 57*k - 56*k. Find the second derivative of -10*s - 24*s**k + 21*s - 5*s + 26*s wrt s.\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51237129.\nAnswer: 3, 19, 898897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 48234292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1022304500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830055661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*w - 4 - 10, 2*s + 16 = -2*w. Let x be (-4)\/(s\/(-3)) + 2. Suppose 15*t - 19*t + 12 = x. Which is the closest to 1\/4? (a) t (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrl when three letters picked without replacement from lllrwilgwirrrlrrrrgr.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -3 (b) 5 (c) -21\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 5*t**2 + 13*t + 141. Give w(-7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/(-10) - (-13 + 10)\/(-1 - -6). Which is the nearest to -1? (a) 2\/3 (b) -2 (c) g (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -26, -11, 20, 73, 154, 269, 424?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let x(d) = -5*d**2 - 6*d. Let q(y) = 4*y**2 + 5*y. Let v(r) = 6*q(r) + 5*x(r). What is i(v(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 18. Which is the third biggest value? (a) 1\/13 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*s + 3*s - 6*s)*(-3*s**2 + 8 - 8) + 3*s**3 + 0*s**3 - s**3 + (15 - 5*s - 15)*(s - s - s**2) as a*s**2 + j + r*s**3 + l*s and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-18)\/12*(-8)\/(-126).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**2 + 0*x + 1 + 4*x**3 + 9\/2*x**4. Factor i(d).\nAnswer: 2*d*(3*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.5, -32, -5\/64, 0.5, -2, 3\/4?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*sqrt(104))\/(sqrt(48)\/(sqrt(12)\/sqrt(2))).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 2*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200891\/24 - -8369. Let c = g - -9\/8. Let w(f) = f**2 + 3*f - 14. Let v be w(-6). What is the closest to -2 in 0, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiiaiwhwwiawahtw. Give prob of picking 2 i, 1 w, and 1 h.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*r + 65 - 65)*(4 + 0 - 5).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 440\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 4:38 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19968\/84 - 2\/(-7). Suppose 3*s - 161 = b. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/396 and 154\/30 + (-75 - -70) - 433\/(-90).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.499, -5\/17, 4, 2\/7, 5, -1\/4 in ascending order.\nAnswer: -5\/17, -1\/4, 2\/7, 0.499, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n**3 - 13*n - 5 + 28*n - 16*n + n**3 to q*n**3 + w + u*n**2 + i*n and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15310 - -17594.8. Round t to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -4117467.\nAnswer: -4117466.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -10570*u - 206*u**4 + 10562*u + 1 - 15*u**4 as r*u**3 + h*u**2 + b + q*u + v*u**4 and give v.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 5:10 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -31*s**2. Let l(b) = 19*b. Give g(l(n)).\nAnswer: -11191*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 0)\/2 + (-9 - -10). Suppose -6*q + y*x = -4*q - 534, -5*x + 506 = 2*q. Does 65 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 5, -2, 33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 487 = -949. Let k = -3943\/11 - j. Is 1 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*s - 55, -3*s + 24 = 2*g. Suppose -4*x + 11 = -2*k - 5, -2*x + 8 = 5*k. Solve -x*f = -f - g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j = -24 + 104 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/52187284 and -44\/3.\nAnswer: 156561852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 - -46.84389.\nAnswer: 47.09389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 218035997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1112112 (base 3) to base 13\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/5 + 13418*w**2\/5 + 187396*w\/5 - 85696 = 0. Calculate w.\nAnswer: -6695, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -435011442 + -1?\nAnswer: -435011443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = 27*b + 65. Let g(p) = p**2 + 5*p - 6. Calculate g(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 8*o - 10*o. What is the third derivative of -o*b**3 - 28*b**3 - b**2 - 111*b**3 + 32*b - 14*b**3 wrt b?\nAnswer: -1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/10 and -11\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 112*j**2 - 9862*j + 537. Calculate r(88).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (18 + (6 - 5) + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 779641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 3*n**2 + 1 - 3*n**2 + 763995*n - 763862*n.\nAnswer: 2*n**2 + 133*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(15)\/(sqrt(25)\/sqrt(5)) + 0 + -1.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*k + 4*q - 82, -4*q - 103 = -3*k. Let i(w) = 4*w**2 + 3*w + 13. Let m be i(-3). Let y = m - k. Solve y*n + 0 = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 4*r**2 + 4*r - 7. Let i be v(-5). What is the remainder when (i + -1)*(-148)\/12 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.552108 centimeters?\nAnswer: 15521.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 7 = 5*t. Let n(i) = -i - t - 5*i + 2*i + 14. Let o(d) = -4*d + 6. Calculate -6*n(f) + 7*o(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -549 + 2086. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and 1.1.\nAnswer: 2.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 714210 and 7080.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 24 - 1145?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 11) in base 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54205 (base 6) to base 14\nAnswer: -29c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3\/7*a**2 - 15\/7*a - 12\/7 = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 683*a**3 - 399*a - 1640*a**2 + 399*a + 326*a**2 + 151*a**3 wrt a?\nAnswer: 5004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/20 - 21\/(-42).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 6*y**2 - 22*y**4 + 21*y**4 - 5*y**2 - y**3 as b*y**2 + c*y**4 + q*y**3 + i*y + m and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 31*w - 7*w - 15*w)*(2*w + w - 4*w).\nAnswer: -9*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**6\/30 + 11*z**5\/20 - 7*z**4\/2 + 32*z**3\/3 - 16*z**2 + 9*z - 20. Let b(i) be the first derivative of k(i). Factor b(u).\nAnswer: -(u - 4)**2*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 618*z**3 - 2426*z**2 + 2288*z + 184.\nAnswer: 2*(z - 2)**2*(309*z + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let j be 11\/(-20) + 123\/2460. Which is smaller: -0.597 or j?\nAnswer: -0.597","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146.5714 grams to nanograms.\nAnswer: 146571400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 148 divided by -2267535\nAnswer: -148\/2267535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 - (0 - 3 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.4 - -22.4. Which is the nearest to 0.1? (a) r (b) 2\/3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3211979077?\nAnswer: 79, 239, 311, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5832)\/3)\/24 - (7 + -7 - 3*2).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-17 - -6) + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 989 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.07 (b) 24 (c) -0.06 (d) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -614287392 - 0.3.\nAnswer: -614287392.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.5 + -44. Let j = 4.7 + d. Let l = 6.2 - j. Put 1\/2, l, -0.4 in ascending order.\nAnswer: -0.4, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 - 287*y + 1 + 295*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.5 and -5.\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z + 2. Let c(d) = d - 1. Let s be 15\/(-21) - 6\/21. Let x(l) = -2. What is s*c(f) + z*x(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566398585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9199854767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 - 43\/(-5). Suppose m = -o + 4. Let w = 30 - m. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9304, -9306, -9308, -9310?\n\"Answer: -2*w - 9302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 21352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1095089\/138324 + -2\/11527. Suppose 315 = -5*z + 11*s - 6*s, -5*z = -2*s + 303. Calculate the common denominator of 3 + z\/14 + 0 and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.4 (c) -4.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5088 - -5091. Factor -3\/7*n + 0 + 3\/7*n**2 + 6\/7*n**x.\nAnswer: 3*n*(n + 1)*(2*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y + 2*n + 8, 0 = n + 3. What is the third derivative of 12 + 14*p**2 - 10 - y + 7*p**4 wrt p?\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-5 + 2*sqrt(99) + -2 + -1)**2 - ((-2 + 2*sqrt(99)*-5)**2 + -5)) + 5.\nAnswer: -9434 - 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102726*j*x**3 - j*x - j - x - 1018 wrt x.\nAnswer: 616356*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 2697, 5416?\nAnswer: 8135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2 = 3*t - 2*t, 2*f = -5*t + 29. Let s(b) = -b + 16. Let m be s(6). Suppose m*g - t*g = 54. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-2)\/4)\/(-1))\/(2\/12). Suppose 0 = 5*r - 4*n - 5879, -j*r - n - n + 3523 = 0. List the prime factors of r.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 17*t + 7. Let u(x) = -x**2 - 2*x - 2. Let w(z) = 5*z**2 - z + 12. Let p(h) = 4*u(h) + w(h). Calculate 6*o(j) - 11*p(j).\nAnswer: j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(57\/(-12) - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232355 - -1228724401.\nAnswer: 1228492046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -23*p**4\/24 - 8*p**3\/3 + 21*p**2. Is k(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232 and 203.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 603, 1204, 1805, 2406?\n\"Answer: 601*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a + 103?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -20, -4, 65638.\nAnswer: -20, -4, -1\/4, 65638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 100111101111000110000?\nAnswer: -100111101111000101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 28*x - 55. Give n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -1, -1.35 in ascending order.\nAnswer: -1.35, -1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = y - 2*y + 27, y - 3*h - 23 = 0. Calculate the remainder when 63 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 2)*(0*u + 2*u**3 + 0*u) - u**3 - 24*u**3 - 26*u**3)*(2*u + 2*u**2 - 4*u**2 + 0*u**2).\nAnswer: 98*u**5 - 98*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236187720 is divided by 158?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(11)*2 + sqrt(11))*-6)**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**3*z**3\/z*z**(3\/7)\/z**(-2\/17) assuming z is positive.\nAnswer: z**(184\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.113871 to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:30 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 5*r**2 - 2*r + 6. Let f be w(-5). Suppose -25 - 7 = -8*y. Suppose -y*q - d = 0, -q + 2*d = -3*q. Solve -4*m + q*m = -f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**2 + 3*l - 2. Give m(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 548917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**2 + 6*m - 11. Let s(y) = -1 - y**2 + 0*y - 3*y + 4*y. Let b(u) = -a(u) + 6*s(u). Let t(n) = 1 + 5 - 5. Determine -b(q) + 5*t(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 2*a**2 - 10*a**2 - 3*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - (-3*sqrt(98)*5 + sqrt(98))) + 4 + sqrt(98) + (1 + sqrt(98) - sqrt(98)) + 0 + -4*(sqrt(98) + sqrt(98)*1))*6)**2.\nAnswer: 20160*sqrt(2) + 226692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403454 (base 7) in base 12?\nAnswer: -8b879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 - 685 = 7*o. Let r = o - -192. What is the greatest common divisor of r and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5894.404 weeks in milliseconds?\nAnswer: 3564935539200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1117 divided by 115.\nAnswer: -1117\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -321555250455 + 3?\nAnswer: -321555250452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.4, -0.014, 2172, 10 in decreasing order.\nAnswer: 2172, 10, 2, -0.014, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w = -216. Let g be 516\/w*6\/112. Let z = -3043\/560 + g. Calculate the common denominator of -31\/10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2 (c) -0.0846 (d) -106 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.056? (a) 3\/2 (b) -0.13 (c) 4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 81. Suppose 5*a + 3*b = 10, 0 = 4*a - 3*a - 5*b - 30. Put x, a, -2 in ascending order.\nAnswer: -2, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6. Let p be (205\/(-2))\/5*i. Suppose -3*m + p + 19 = 0. Is 20 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 134.3 - 134. Let d be (-10)\/(-4)*(-4)\/35. What is the nearest to 2\/5 in f, d, -1\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5128837835 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y - 540 = -1046. Let h(b) = -b**3 + 23*b**2 - 21*b - 38. Give h(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -554, -556, -560, -566, -574?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/3))**31 assuming p is positive.\nAnswer: p**(155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113301705?\nAnswer: 3, 5, 11, 61, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in 4, 7, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-2))\/(11\/22). Let a(c) = -17*c - c**2 + 29 + 2*c**2 - l. What is the remainder when a(17) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/81*(-12)\/(-20)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 69 = 7*v + 5*r, 2*r = -4*v - 53 + 177 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 8 - 2\/9*z**3 + 110\/9*z**2 + 2\/9*z**5 - 14\/9*z**4 - 56\/3*z = 0.\nAnswer: -3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9297818086 - 0.6225\nAnswer: -9297818086.6225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -2, 3, -5 in decreasing order.\nAnswer: 3, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48092971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(-13568)\/1272?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 13*z - 6. Suppose z*l - 892 - 236 = 0. Let d = 569 - l. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*l + 202 = 0, l = -2*r - l + 100. Suppose 4*z = o + r, -9*z = -14*z - o + 74. What is the remainder when 122 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7583.719 weeks in milliseconds?\nAnswer: 4586633251200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -w - 2, -4*i + 11 = i - 4*w. Let k be -6 + 10 + i\/3*-4. Are -10\/19 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*w - 15, 5*c - 4*w + 0 - 10 = 0. Let n be -3*(-2)\/18*-6. Is n < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (163 + -150 - (-12 + 0))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 137961425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*4\/8*-4. What is the third derivative of -4*v**x - 8*v**4 + 2*v**5 + 3*v**4 + 5*v**4 wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59510555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 80566.16 years?\nAnswer: 80.56616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9977 or 139695\/14?\nAnswer: 9977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 439?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 - 404 = 42*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + (-15)\/(-6) - (-726)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.432 + -0.012. Let n = v - 2.42. Sort -4, n, 2\/13 in ascending order.\nAnswer: -4, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 111 - (1 + -12 + 20 - 38) - (0 + -2)?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35023.8 kilometers to centimeters.\nAnswer: 3502380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2. Let f(a) = -10*a**2 + 4. What is f(s) - 3*q(s)?\nAnswer: -7*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 - 2. Let b = -0.82 - -1.12. Let u(m) = m**3 + 25*m**2 - 24*m + 49. Let r be u(-26). What is the smallest value in t, r, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -11. Let p = g - -11. What is the smallest common multiple of (-6)\/(-33) + (-128)\/(-22) and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-507) + ((-4683939)\/6084)\/83.\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(99)*-1*-2 - sqrt(99) - (5 + sqrt(99) + (sqrt(99) - (sqrt(99)*-2 + sqrt(99))))) + (sqrt(99) - (3*sqrt(99) + 3))*2)**2.\nAnswer: -7370 - 792*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 + 3*k**5 - k**5 - 9*k**2 + (-k**2 + 0*k**2 + 0*k**2)*(-4*k**3 + 3*k**3 + 0*k**3) - 3*k**5 + 5 - 5.\nAnswer: -4*k**5 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 - 127. Let w = -175.68 - r. Let p = w - 0.32. What is the third smallest value in p, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227910151?\nAnswer: 7, 23, 1415591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002268169 to six decimal places.\nAnswer: 0.000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8651824 and 326608.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r - 7. Let m be g(1). Let d(s) = -19*s - 12. Calculate the remainder when d(m) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*3703.\nAnswer: 81466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 + 582*d**2\/5 - 3554*d\/5 + 594.\nAnswer: 2*(d - 5)*(d - 1)*(d + 297)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60357 (base 9) to base 16.\nAnswer: 9aed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.29 - -47. Let h = z - -0.79. Put -1\/5, 10\/13, h in decreasing order.\nAnswer: 10\/13, h, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/415 - 4649\/706330. Let l = n - -13691\/42550. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 0*p + 48 + 5\/2*p**2. Let r(m) be the second derivative of m**3\/2 - 5*m. Calculate r(j(n)).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0522963523 to five dps.\nAnswer: 0.0523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 603997 = j + 3*j, 5*j - 754996 = 4*i. Round j to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from bbboooobooobbbobbbob.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-162)\/(-150)*25\/(-315)*-6. Factor -12\/7 + z*q**3 - 3\/7*q**4 - 39\/7*q**2 + 36\/7*q.\nAnswer: -3*(q - 2)**2*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*y + 2*y - 32*y.\nAnswer: -180*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159431871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 5*d + 1104. Let q be ((-6500)\/12)\/(4\/d). Round q to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 28083, 28082, 28081?\n\"Answer: -k + 28084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 45. Let v be 1*u*6395\/15. Suppose 2*t - 955 = v. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/((-4800)\/(-210))*2\/(-28).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/17 (b) -5 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3\/4, 0.1, -5.4?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*((-132)\/50 + 3). Let o = -0.15 - -2.05. Let d = o + -5.9. What is the closest to -2\/3 in 0.4, d, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6 - (-7)\/(-21)) + 5. Let d = 28 - 21. Find the third derivative of 10*y + 5*y**2 - j*y**4 - d*y - 3*y wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*k + 138*k + 141*k + 89*k - 500*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sspp when four letters picked without replacement from pssgspscpppscpcppp.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180412999.\nAnswer: 13, 19, 37, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 4:15 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 8. Let f be a(-6). Let k = f - -5. Let y = -18 + 22. Is k <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c9 (base 13) in base 3?\nAnswer: 20010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -2. Suppose 0 = 3*s - 5*s - p. What is the units digit of (s + 2)*0 - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520 and 7900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -174. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**8\/56 + 202*u**6\/3 - 82*u**4 + 187*u - 7. Find the third derivative of c(h) wrt h.\nAnswer: 120*h**3 + 48480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 28*m + 2887. Let g be i(-103). Suppose 7 = t - 6. Differentiate -3*w**3 - 5*w**3 - g*w**3 - t + 2*w**3 with respect to w.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12991)\/(-44) - (-40)\/(-32). Calculate the greatest common factor of z and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.69022 to two dps.\nAnswer: -4.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 105. Let h = 53 - o. Let c = -36.2 - h. What is the biggest value in 4, c, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -3 + 4)*5)**2 + -4*(sqrt(153) - (3 + -1*sqrt(153))).\nAnswer: 126*sqrt(17) + 3862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 107 = -15. Is c a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -246*r**4 - 7389*r**3\/2 + 16593*r**2\/2 + 153*r = 0. Calculate r.\nAnswer: -17, -3\/164, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 2*m + 1. Let k be i(1). Suppose k = 4*w - 15. Suppose -w*f - 5*l = 167, -f - 64 = f - 4*l. Are -0.1 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.207 - -2.1?\nAnswer: 117.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*z - 2*a, -8*z + 3*z + 59 = -2*a. Find the first derivative of z*r**4 - 2 + 277*r**3 - 277*r**3 wrt r.\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/((-45)\/12) - 1. Let u be (9\/(-6))\/(4\/(-8)). Find i such that 0 + 0*i - 2\/3*i**2 + t*i**u = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2760.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 4 (b) 1 (c) -2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4296173?\nAnswer: 7, 43, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + k - 16 = 0, -3*h + h - 2 = k. Let m be ((-40)\/14)\/(h\/21). Suppose c = -3, c = -2*f + 5*c + m. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193 + 193. Suppose i = -4*w + 3 + 13. Solve 8*y - 3*y - w*d - 2 = 0, -4*y - d = 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 721, 720, 719, 718, 717, 716?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 9*k + 5. Let m(s) = -s**2 - 15*s + 27. Let r be m(-17). Give a(r).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:09 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 421, 427, 403, 337, 217, 31, -233, -587?\n\"Answer: -2*b**3 - 3*b**2 + 29*b + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007342723429 rounded to 4 decimal places?\nAnswer: -0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.2 - 1.2. Let d = w + -5.1. What is the closest to -1 in d, -2, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 676349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 16*s**2 - 14*s + 17. Let d be x(-15). What is the first derivative of -7*n**4 + d*n**4 + 4*n**4 - 4 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 0*w**2 - 1\/6*w**6 + 0*w - 2\/5*w**5 + 4 + 0*w**4 + 0*w**3. Find g such that x(g) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86396 in 4, 3, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9725 is divided by 154?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, -6, -1, 2789.\nAnswer: -231, -6, -1, 2789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvvv. Give prob of picking 2 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*z - 80, -3*z + 4*w + 28 + 22 = 0. Calculate the least common multiple of 10 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 8*h**2 + 11*h - 13. Let z be a(9). Let r be -4 + 2 - (z - 3). Let x = -113 + 562\/5. Put r, 4\/5, x in increasing order.\nAnswer: r, x, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.4 - 4. Let w = 551.5 - 217.2. Let l = 334 - w. What is the closest to 1\/7 in l, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 51*o + 1529. Calculate y(-72).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8722, -17444, -26166, -34888?\nAnswer: -43610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35280 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - (-2716 + 2762)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 165*s + 7072. Give x(-95).\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4422, 4425, 4428?\n\"Answer: 3*i + 4419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56689? (a) -2 (b) -5\/3 (c) -52 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29896 + -29864. Calculate the least common multiple of 1356 and q.\nAnswer: 10848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*g - 408*g = -200. Calculate the lowest common multiple of 36 and g.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3211416 (base 7) to base 16.\nAnswer: -5f18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-96))\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in months?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t**2. Let o(i) = 5*i. Let k(a) = 4*a. Let c(n) = 4*k(n) - 4*o(n). Calculate x(c(u)).\nAnswer: 304*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11110111 (base 2) to base 5\nAnswer: -1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwgj when four letters picked without replacement from {j: 8, m: 2, g: 5, s: 2, w: 1}.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27363130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -492*j**3*q + 174*j**3 - 3*j**2 wrt q?\nAnswer: -492*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-5))\/((l**(-2)\/l)\/l))\/(l*l\/((l*l**(-1\/4))\/l)*l**(-2\/5)\/l)*(l\/(l*l*l\/l**1))**(-8)\/(l**(-2\/5))**(11\/6) assuming l is positive.\nAnswer: l**(473\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25689277631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 2*l - 45. Suppose -4*g - 3*y - l*y + 37 = 0, -7 = -g - 2*y. Suppose g*r - 2344 = 5*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**4\/4 + 8*t**3\/3 + t**2\/2 + 4*t + 1. Let r be m(8). Suppose -4*f = -r - 8. Solve 3*b = 2 - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 331 = -o - 328, -2*o = 5*u - 27. Suppose 5*r = 5*k - 3*k - 7, -4*r - 4 = 0. Solve -7*n = -o*n - k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r**2 + 586271*r + 488555 = 0.\nAnswer: -97711, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122692354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzzozpgppooop. What is prob of sequence zg?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 5*h - 4. What is g(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 3*j - 5. Let o be w(-4). Calculate the common denominator of (2\/12)\/(24\/(-99)) and (o\/2)\/((-55)\/(-185)).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.5, 0.702 in descending order.\nAnswer: 0.702, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6498*y**2 - 8316*y + 8. Let s(c) = 2169*c**2 + 2772*c - 3. Let r(o) = -11*s(o) - 4*v(o). What is the second derivative of r(g) wrt g?\nAnswer: 4266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.161.\nAnswer: 0.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 7*s - 4*s - 5*s**2 + s**2 + 3*s**2 in the form h*s**2 + a*s + i + v*s**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 12. Let w = j + -11. Solve -4 = 4*o - h - 3*h, 0 = 3*h + w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -19)\/(7\/(-42)). Let n be 2 + (c\/(-55) - 0). Let m = 2 + -3. What is the nearest to 0.1 in n, m, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014770 is divided by 92222.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 0*v**2 - 2\/3*v**3 + 0*v - 27. Let x(h) = 33*h. Determine x(i(k)).\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Let o(l) = -l**3 + 4*l - 3. Calculate o(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17562497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7456872 a multiple of 1256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466855 is divided by 782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32051, -64090, -96115, -128120, -160099, -192046, -223955, -255820?\n\"Answer: r**3 + r**2 - 32049*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8.015. Let d = j - 0.05. What is d rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001676352 rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y - 67*y + 411*y - 60*y - 66*y - 70*y - 74*y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2880\/(-3168)*(-1)\/10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1 - 1 - 2 + 12*c**2. Let k be w(-2). Suppose 0 = -5*v + 4*a + 63, 4*v - 2*a + a = k. What is the least common multiple of 10 and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -9\/8*i**4 + 36 + 9\/20*i**5 + 0*i**2 + 1\/8*i**6 + 0*i - 2*i**3. What is g in t(g) = 0?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1256 = 235*w + 1564 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3564) - (3*sqrt(3564)*-5 - sqrt(3564)))\/((sqrt(32)*-3)\/sqrt(8) - sqrt(40)\/(sqrt(30)\/sqrt(3))).\nAnswer: -153*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 446272768*q - 12447461466148864.\nAnswer: -4*(q - 55784096)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5 - 2. Let z = 972.4 - 848. Let k = 124 - z. Which is the third biggest value? (a) -0.8 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370 = -46*m - 362 + 272 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/14 and (-11)\/(25872\/776)*1.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (97944\/(-189))\/22 + 24.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8168 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1753 + 1756. What is the closest to 0.113 in -0.4, -3\/4, -2\/11, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 + 64755.\nAnswer: 64644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*w - 6 = 0, -i + 2*w + w = -10. Let y(c) = 64*c + 70*c + 67*c + 67*c - 267*c. Let h(p) = -8*p. Calculate i*h(b) - 14*y(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/337 + 680\/1011. Let b = -64.73 + 65. Let c = -0.03 - b. What is the closest to n in c, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9658 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -5920?\nAnswer: 5921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.3, 0.6, 0.08?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221 by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 14000?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 356514583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.139, 3\/8, 0.2, -58, 0.3 in descending order.\nAnswer: 3\/8, 0.3, 0.2, -0.139, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 - -1. Let k = -79\/60 - -49\/60. What is the third smallest value in 5, k, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 2*l**2. Let a(x) = -2*x**3 + 0*x**3 - 2*x**3 - x**3 - 11*x**2. What is -6*a(k) + 33*b(k)?\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(72)*-2 - (sqrt(72) - (2 + sqrt(72)))*-6)*1)**2.\nAnswer: 336*sqrt(2) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696 less than 2703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imhh. Give prob of sequence hh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -389.\nAnswer: 10\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 33.57?\nAnswer: -30.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.01 + -0.51. Let r be (-1)\/1 + (-5)\/(-7). Let q = 14\/3 + -4. What is the closest to q in o, r, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**6\/150 + x**5\/15 + 2*x**4\/15 - 248*x**2. Factor k(z).\nAnswer: 4*z*(z + 1)*(z + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1248 - -1243. Let o = -0.402 + 0.012. Let m = o + -0.01. What is the biggest value in m, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716261 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43127 is divided by 280.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*x**4 + 5*x - 26*x - 47*x**4 + (-2 - 2*x**3 + 2)*(x + 0*x + x) to the form u*x + k + z*x**4 + m*x**3 + t*x**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88, 201, 312, 427, 552, 693, 856?\n\"Answer: u**3 - 7*u**2 + 127*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 175946 or 175948?\nAnswer: 175948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(153)*-1 + sqrt(17) + -3))**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*3*(-15477)\/4221?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03942 + -198740201.\nAnswer: -198740200.96058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -289118\nAnswer: -1\/144559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 2 + (0 + 3 + 1)*(0 - 3 - 1))*(y - y - y) to m*y + c and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -484*p + 481*p - 4*z, 2*p + 33 = 4*z + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 0*c + 0*c)*(-34*c**2 - 45*c**2 + 29*c**2)*(-5*c**2 - c**2 + c**2).\nAnswer: -1250*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 473770 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2220, -8892, -20018, -35598, -55632?\nAnswer: -80120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*y**2 - 134*y**2 + 10*y**2)*(-3 - y + 3) - 2*y**3 + y**3 + 2*y**3.\nAnswer: 258*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 28 - 88. Solve 2*g + j = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 978 by 6.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 345 = -5*f, -4*f + 272 = -2*b - 3*b. List the prime factors of f.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u = 27*u - 209 + 524 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v + 377 - 952 = 0. Suppose -21*r + v = -17. Solve -35 = -3*m + r*o - 10, -2*m - 2*o = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/6 - 2912407*s**2\/6 + 5824805*s\/2 - 8737203\/2.\nAnswer: (s - 2912401)*(s - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*w**3 + 98*w**3 - 12448*w + 12447*w.\nAnswer: 154*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1487235 divided by -5.\nAnswer: 297447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.2. Let r = -6.635 - -6.935. Which is the closest to 1? (a) j (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 348 = 6*s. Solve s - 81 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -3)*(-15)\/3. Let y be 90\/(-6)*(-6)\/p. Is 377\/1 - (y + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 322.29 + -323.6907. Let f = 1.4 + o. What is f rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3076257.97639511 + -3076258. Let o = -0.0236 - v. Round o to 7 decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27415.56 litres in millilitres?\nAnswer: 27415560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.2 + -6.3. Let d = 4 - f. Which is the smallest value? (a) -5 (b) -4\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 20 = -5*t + 5*a, 4*t = a + 27. Let x = -4 + t. Let h(m) be the first derivative of 2*m**2 + 4*m + 2. What is h(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001981063229 to 5 dps.\nAnswer: -0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/35)*b**(4\/7)*(((b\/b**(-1\/5))\/b*b)\/b*b*b)\/b*b**(-1\/2) assuming b is positive.\nAnswer: b**(31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10118 is divided by 3370?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - -71. What are the prime factors of 236 + -3 + 0\/k?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55.605922 and 1?\nAnswer: -55.605922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312 > 2313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3048*m**2 + 6087*m**2 - 3032*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 8:06 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -100388491706 - 0\nAnswer: -100388491706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66856 and 651480?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -247111.6 to the nearest one thousand.\nAnswer: -247000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54*m - 173*m + 53*m + 7*m**2 + 102 + 60*m wrt m?\nAnswer: 14*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + y - 2 + 5*y + 0*y - y + (1 - 4 + 2)*(3 + y - 3))*(-2*y**4 - 3*y**2 + 3*y**2).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 70*p - 12. Let n be s(-13). Let y = n - -439. Let o(v) = 2*v. Let a be o(-1). Put y, -1, a in increasing order.\nAnswer: a, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.54604 rounded to 0 decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 - m**5 + m**5 + (-m**2 + 2*m**4 + m**2)*(0*m + 3*m - m) + 0*m**2 + 2*m**5 + 0*m**2 + (0 - 2*m**4 + 0)*(-7 + 7 - 3*m) + 5*m**5 - 5*m**5 - m**5.\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1288)\/690)\/(48\/(-30)))\/(1\/1)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31587 - 20257. Let j be 1\/2 + r\/4. Suppose -4*g + 1127 = -j. What is g rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3948 * -12514\nAnswer: -49405272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9 - 1 - 6*l - 2 + l**2. Let x be f(9). Suppose x = -u + 5*r - 2, -2*r + 8 = 0. Solve -3*j - u = 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 4*u + 495. What are the prime factors of p(0)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 3, w: 5, v: 3, f: 2}. What is prob of sequence cf?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-55))\/((-34)\/(-187)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*h**2 + 83*h**2 - 10*h - 140*h**3 + 11*h to g + i*h**3 + c*h + k*h**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002111 (base 3) to base 2.\nAnswer: -1100011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 + 2*t + 2. Let b(i) = -i**2 + i - 2. Let s(m) = -m + 1. Let l(x) = -b(x) - s(x). Let r be ((-54)\/(-10) - 20\/50) + -1. What is r*l(u) - v(u)?\nAnswer: -2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 538 + 356. What is the remainder when 501 is divided by z\/42 - 4\/14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654204.\nAnswer: 2, 3, 54517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u + 2*u**2)*((-3 + 8 - 1)*(2 + 0 - 1) + 5 - 4 + 4) + (-4*u**2 + 5*u**2 + 9*u**2)*(1 + 2 - 1).\nAnswer: 38*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 5 = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 5. Suppose 0 = 2*n + r - 37. Differentiate -15 - 6*o + n*o**3 + 6*o wrt o.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(245) + -2))**2 + (sqrt(5760)*1 - sqrt(5760))\/sqrt(8).\nAnswer: -112*sqrt(5) + 996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**2\/9 + 1529988*o = 0 for o.\nAnswer: 0, 6884946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:26 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*z**3 - 23691248*f*z**2 - 6441231*f*z - 30*f - z**3 wrt z?\nAnswer: -12*f*z - 47382496*f - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.580787 from -0.1.\nAnswer: -0.680787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64)\/(-16))\/((-2)\/(-2)). What is the third derivative of -r*m**6 + 6*m**2 - 6*m + 6*m wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125913?\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhyyhhiiiyyyyih. What is prob of picking 4 h?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51191 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-188)\/(-376))\/(2\/(-32)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-45)\/12 + 2)*-4. Let f(y) = -y + 5. Let x(q) = -q + 3. Let t(c) = p*x(c) - 4*f(c). What is t(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 300*r**2 - 20*r - 20. Let i(u) = -43*u**2 + 3*u + 3. Let d(w) = 20*i(w) + 3*t(w). Let a be d(2). Round a to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*6\/(-297))\/(126 - 128). Which is the closest to -0.1? (a) -4 (b) -0.4 (c) -1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 2:47 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 - 3*v**2 - 4*v - 2. Let x be f(-1). Let h(p) = 45 + 24*p + 27*p - 54*p. Let u be h(14). Solve u = -4*y + x*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwvr when four letters picked without replacement from jrrrjurwrjv.\nAnswer: 1\/1584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 94*x**2 + 85*x**2 - 3*x + 3 + 26*x**2. Is t(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -188289200 divided by 1882892\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/45)\/((-3)\/39*(-39)\/36).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 8 = -17*h + 12*h. Put -45, 3, h in ascending order.\nAnswer: -45, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (228\/(-10))\/(12\/(-30)). Calculate the highest common factor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079934844 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 219 + -213. Suppose -i - 7 + 26 = 3*m, 0 = -m - 1. Calculate the remainder when i is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42955.59 + 43410. Let a = 455 - h. Round a to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*-5)**2 + (-3*sqrt(11) + 5)**2.\nAnswer: -30*sqrt(11) + 6999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 2 = 0. Suppose 0*a + 2*k = 2*a - 6, 1 = a - j*k. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 19, -122, 2 in decreasing order.\nAnswer: 19, 2, 0, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23255976 - -5.\nAnswer: -23255971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2. Let f(o) = o - 2. Let i(h) = -3*h + 5. Let l(z) = -5*f(z) - 2*i(z). Give l(u(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/9 - 28521664*f\/3 - 85564988\/9.\nAnswer: -4*(f + 1)*(f + 21391247)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -12*b. Let w(f) = f - 6. Let h be w(9). Suppose -13 = -s + 4*o - o, 5*o + 20 = 0. Solve 4*x - 5*q + 9 = b, -5*q + s = h*x - q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -85. Solve -g - 2*q = -6*g + j, 6 = 3*g + 2*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51 - 115425\/2250) + 4\/10\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -786, -805, -822, -837, -850, -861, -870?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -161*q**3 + 2*q**2 - 6*q + 3. Let i(u) = 323*u**3 - 5*u**2 + 15*u - 7. Give -4*i(n) - 10*z(n).\nAnswer: 318*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.8 - -5.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 379 - 43 - 29.\nAnswer: -q - 451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**5 - 6*f**4 + 91*f**3 - 6*f**2 - 3*f - 1. Let s(o) = o**4 + o**2 + o - 1. Let w(q) = n(q) + 6*s(q). Find the second derivative of w(x) wrt x.\nAnswer: -40*x**3 + 546*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*j. Suppose -w + 8 + 16 = j. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3 + 1786*u**2 + 9269872*u + 18532584 = 0.\nAnswer: -1751, -2, 2646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 9) + 4 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**3 - 2*p - 6. Let w(h) = -4*h**3 - h**2 + 2*h + 5. Let z(f) = -3*n(f) - 2*w(f). Calculate the remainder when z(-4) is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203346 and 15510?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-14\/5)\/a*a*a*a**(-8\/3) assuming a is positive.\nAnswer: a**(-67\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -8 - -12 - (-1 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 + -21. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18891152?\nAnswer: 2, 7, 31, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130023 + 1?\nAnswer: -130022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24118 and 0.4354.\nAnswer: 24118.4354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 2)*(3*q - q - q) - 4 + 4 + 2*q + (196*q + 570 - 570)*(-3 - 3 + 5) as u + m*q and give m.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -250, 2, -1\/2, 0.2, -16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 10*b**3 - 1214 + 1214 - 2*b**4)*(4*b + 0*b - b).\nAnswer: -6*b**5 + 30*b**4 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011281 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 + 41. Let g = l + 40. What is the closest to -2 in 2\/3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s. Suppose 0 = -10*x + 9 + 1. What is o(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -131, -244, -413, -656, -991, -1436?\nAnswer: -2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**23*(s\/s**(-2\/7))**(-10))**(-31) assuming s is positive.\nAnswer: s**(-2201\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 7, g: 2, e: 8}. Give prob of picking 1 h and 1 v.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(sqrt(612))**2 - (-3 + sqrt(17))*2).\nAnswer: -2*sqrt(17) + 2455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**6\/9 - 8*v**5\/15 - v**4 - 8*v**3\/9 - v**2\/3 + 7. Suppose h(k) = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-7)*(132\/(-24) + 2). Solve b - 3 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 57852?\nAnswer: 289260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) + 22*(-6)\/(-24). Suppose -9*w - g*w + 30 = 0. Solve 4*x - 1 = -w*q + 9, 0 = 3*q - 4*x + 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p**2 - 11*p + 10. Suppose -s - 4*n + 24 = 0, -4*s + 5*n = 2*n - 58. Let t = s + -11. What is the remainder when r(t) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 520445128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3105\/36)\/(-5))\/(6\/(-11768)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 164*j**2 - 5*j - 3. Let u be d(-1). Let v = u - 160. Solve 0 = 3*w - 4*t - 8, -4*w - 35 = 5*t + v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2300*f - 48 = -2306*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:16 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -981*q + 19169 + 25957 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*l = -10, 2*r - 4*l - 8 = 7*r. Suppose -2*g - 4*n + 8 = 0, -3*g + r*n + 2 = -4*n. Differentiate 6*q**2 + g - 2 - 5 - 1 wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 14*i + 5. Let g be u(5). Let o be -1 + (g - (2 + 1)). What is the highest common divisor of o and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61273*b - 184825*b + 61275*b + 62278*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2535*g - 2437*g + 294 = 0. Put -1, 7, 103, g in descending order.\nAnswer: 103, 7, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844976931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 10. Suppose -w*l = 2*l. Factor 4\/3*f + l - 2\/3*f**2.\nAnswer: -2*f*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 6308.\nAnswer: 6307.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45550*o + 91577*o + 5 - 45542*o)*(-o + 4*o - 2*o).\nAnswer: 485*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -24*w + 3. Let v be y(-3). Suppose 4 = 2*i, 3*i + 244 = -l + 6*l. What is the greatest common factor of l and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 742.7 (c) 0.5 (d) 0.11 (e) 3\/8 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 10*u - 20. Let s be x(-6). Suppose -t + 0*w + 4*w = -1, 0 = -2*t - s*w + 14. Sort 2, 0, 4, t in descending order.\nAnswer: t, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 54*s - 170. Let i be k(-3). Solve -3*j - i = -2*j, 4*j + 16 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 24. Give v(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184294768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -156 - -377. Let y = -133 + j. Let v = y - 91.7. What is v rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vavc when four letters picked without replacement from icscfcivcaaivvv.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*d**2 - 62*d**2 - 2*d - d - 68*d**2 - 80*d**2.\nAnswer: -4*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 13026 = -477*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 - -2.7. Round x to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 0*t + 106 = m + 2*t, 224*t - 20 = 220*t for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18176611 is divided by 206?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**3 + 6*z**2 + 10*z + 9. Let q be r(3). Suppose -y - 5*t - 21 = 0, -5*y = -t + 2*t - 15. Solve -q - 8 = y*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 7) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 33\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 10 = -3*x, -4*f = 4*x - 6*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100543 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -900\/10429 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-301)\/140)\/43)\/(1 + (-11)\/8). Which is smaller: r or 20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -1, 0, -0.363?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 422463\/4 equal to 105617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-97 - 268 - 82)*(4*i**4 - i**4 - 5*i**4) to c*i + p*i**3 + t*i**2 + s*i**4 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342 (base 8) in base 10?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(3*b + 2*b - b)*(-3 + 2 - 2) to v*b + r and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*s + 522 + 203 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001220 (base 3) to base 13.\nAnswer: 9411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10149143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11 - 26 - 12*l**4 + 29 wrt l?\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74568 - 149135\/2. Factor 15\/2*i + a*i**2 + 7.\nAnswer: (i + 1)*(i + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 106*r**3 - 20*r - 5. Let y(f) = -91*f**3 + 19*f + 6. Let a(k) = 6*h(k) + 7*y(k). Solve a(j) = 0 for j.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1613235, -3226473, -4839713, -6452955, -8066199, -9679445, -11292693?\n\"Answer: -j**2 - 1613235*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11650 and 623275?\nAnswer: 1246550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 164*m**2 - 7*m. Let v(z) = -109*z**2 + 5*z. Calculate -5*r(c) - 7*v(c).\nAnswer: -57*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*z + 2433, -4*w + 5*z - 441 = -5340. List the prime factors of w.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -37*o + 27. Let x be d(-19). Suppose 4*i + x = 14*i. What are the prime factors of i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l + 10. Let z = -5 + 8. Let b be c(z). Suppose b - 7 = -f. What is the lowest common multiple of 16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.7057 - 0.0143. Let n = y + 17. Let j = n + -5.18. Round j to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59944.\nAnswer: 2, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 31\/3*b**3 + 0*b + 49 + 0*b**2. Let x(a) = -a + 3 - 3. What is i(x(j))?\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6\/13, -2\/3, -23.4, 5, -2\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6622449.13 to the nearest 10000.\nAnswer: 6620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4369*b**2*p - 55747412*b**2 + 6109*b*p wrt p?\nAnswer: -4369*b**2 + 6109*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*p + 6. What is the remainder when ((-34)\/5)\/(3\/(-15)) is divided by (p + 2)*(-11 + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u - 32*u = 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(2205) + sqrt(2205)*1)*3)\/(sqrt(18)\/sqrt(32) + sqrt(9) - (sqrt(9) + sqrt(441)*-2)))*-4.\nAnswer: -224*sqrt(5)\/19 - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*s**3 - 87*s**2 + 484*s + 246136.\nAnswer: 39*s**2 - 174*s + 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3771364*v**2 - 846712*v + 47524 = 0. Calculate v.\nAnswer: 109\/971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/4 + c**3\/3 - 3*c**2\/2 - 27*c. Suppose 0*a = a + 4. Let p be y(a). What is the greatest common factor of p and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 - -0.31. What is the second smallest value in -1\/2, s, -4\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l + 2 + 6*l - 19*l)*(4 - 1 - 1).\nAnswer: -4*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -44 (c) 0.0947\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66382768 to the power of 1\/2, to the nearest integer?\nAnswer: 8148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101297145 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/120 + w**5\/60 - 17*w**4\/24 + 5*w**3\/6 - 15*w**2. Let k(r) = r**3 + r**2 - 9*r + 3. Determine 5*k(b) - 3*y(b).\nAnswer: 2*b**3 + 2*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let p = -28 + r. Round p to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222022 + -11?\nAnswer: -222033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1000)\/60 - -17)*(3 + -4 + 10) - -32\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/11, 2\/21, -20?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-45)\/75 + (-24)\/10. Sort -9, 4, i in increasing order.\nAnswer: -9, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423510 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: Suppose 5*b - 3462 = 2943. Let k = b - 746. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 354452, -1, 4 in increasing order.\nAnswer: -1, 2, 4, 354452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3136162 (base 7) to base 4.\nAnswer: 1130203210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -130\/4020251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 6:36 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1 - 2*d + d + 0*d - d + 22*d**3. Let j be f(1). Suppose j*i = 22*i - 4. Solve 0 = i*s + y + 6, -2*y = -2 - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ylllfyy. What is prob of sequence lll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713021 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 498 and -413970131579.\nAnswer: -413970131081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 52. What is the second biggest value in k, -0.8, -0.5, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-274 + 19*z**2 + 274)*(-2*z + 4*z - z)*(6 - 4*z - 6)*(-1 - 2 + 1)*(-1 + 0 - 1) in the form i + x*z**2 + l*z + o*z**3 + c*z**4 and give c.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*h**2 + 18*h**3 + 172*h**2.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8737497 nanometers in centimeters?\nAnswer: 0.00000008737497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwh when three letters picked without replacement from wvswkhwkskwksww?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**3 + s + 1. Let t(p) = -p**2 - 3*p + 3. Suppose 5*l + 8 + 12 = 0. Let m be t(l). Calculate n(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 3. Let t be k(0). Let f = 0.005 - -0.025. Let i = f - -1.97. What is the second biggest value in i, t, -3\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -12*k + 1. Let i be m(-3). Suppose -13 = -5*g + i. Let p(d) = 4*d + 1. What is the smallest common multiple of p(1) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f**2 + 12*f + 96. Let g be n(-10). Suppose i = -4*i - 2*q + 4868, -i + g = q. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -158 and -51.53.\nAnswer: 8141.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 4*t + 6. Let c be 2\/(-5) + 27\/5. Suppose 0*b + 2*b + 1 = 3*x, c*x = 15. What is the least common multiple of q(b) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101580, -101581, -101582, -101583?\nAnswer: -101584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2123*v**3 + 65813*v**2 - 10*v - 307. Calculate s(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*d = -280*d + 541 + 4484 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 10*a - 81 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 183037461 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -3, -15, 1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o - 5*a + 630 = 0, 3*o = 2*a + 651. What are the prime factors of o?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/2, -0.5, 0.37, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661215 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - o - 3*o + (-1 + 1 - 2*o)*(1 - 1 + 1) - 449*o + 360*o - 4 + 288*o + 3 to the form t + k*o and give k.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 8 - 2. Suppose 0 = -5*b + 12 + s. Differentiate 5*k**b + 1 + 0 - 4*k**3 wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3*r + 94646962*q**3 + 116*q**2*r - 1639*q*r - 244*r with respect to r.\nAnswer: q**3 + 116*q**2 - 1639*q - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjtjtjjj. Give prob of sequence tjjt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871997.7 times 0.4?\nAnswer: 748799.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 4*n**2 - 3*n. Let f be i(2). Let x be -1*(f - (-4)\/(-3)). Let u = 10292 + -41167\/4. Which is the closest to u? (a) x (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -40 + -4 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*1301\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -535.1948 + 551.2. Let t = -16 + a. Round t to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 3*f**5\/5 + 5*f + 5. Differentiate c(k) wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1872) + 0) + -2*sqrt(1872) + -1 - (1*-1*sqrt(1872) - (-1 + 1*sqrt(1872))))**2.\nAnswer: -288*sqrt(13) + 67396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 20*c - 852339 - 2495139. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145781012?\nAnswer: 2, 13, 67, 41843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 13 = 4*x, 8*x + 8 = 5*x - 4*b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12820 by 4.\nAnswer: -3205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d + 6 - 4*d - d**2 - 3*d. Let o(g) = g**2 + g - 6. Let f(v) = 3*o(v) + 2*r(v). Let q be f(-2). Which is smaller: 10\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5048, -10077, -15126, -20207, -25332, -30513?\n\"Answer: -2*b**3 + 2*b**2 - 5021*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -188 divided by 3?\nAnswer: -188\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 15. Let x(p) = -p**3 + 5*p**2 + 5*p - 1. Let d be x(6). Let r be m(d). Calculate the highest common divisor of r and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 7) to base 2\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 35 = 2216*a - 2219*a, -2*v + 70 = 5*a + 3*v for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**3 - 34*v**3 - 66*v**3.\nAnswer: -97*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30441 (base 5) to base 16\nAnswer: -7cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 4:03 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29 - 44 - 2*-9. What is the nearest to z in -3\/5, 9, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-81)\/(-3)*(-12)\/72\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*y - 12*y + 12*y**2 - 4*y**2 + 5*y wrt y?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/2)*l)**(-46))**(-21\/2) assuming l is positive.\nAnswer: l**(1449\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10577007 (base 8) in base 4?\nAnswer: 20233320013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 20*b + 57. Calculate f(-6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 26*t + 25*t - 47*t + 0 - 6. Let i be g(-1). What is the remainder when 25\/i - 49\/(-2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02675 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -4 (c) -0.2 (d) -73\/5 (e) 42 (f) 3 (g) 3\/8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 4*n + 1519, 1517 = 3*h + 2*n + 3*n. Suppose -h = -4*k + 603. What are the prime factors of k?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -1 - 27. Let z(c) = c**3 - 2*c. Let t be z(3). Suppose -d*n - 5*m = -7*n + 64, -n + 2*m + t = 0. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 37. Let t = s - 12. Solve -t = b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 smaller than 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 4355 and -136 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 663726 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -463 and -0.05.\nAnswer: 23.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 55\/15*9\/(-12)*-13*(-10)\/65\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-127)\/508*16\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x - 4064167 + 2032103 + 2032061.\nAnswer: 15*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-123 - -118) + (9 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399398.\nAnswer: 2, 3, 7, 11, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyady. What is prob of sequence dda?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and (-29)\/(1595\/(-10))*38797.\nAnswer: 35270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -11\/6, 0.273, -0.2?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 20*z**2 + 21. Let p(y) be the third derivative of 7*y**5\/20 + 11*y**3\/3 + 19*y**2. Let l(k) = -3*a(k) + 2*p(k). Differentiate l(c) wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 + 64 = -10*j. Solve -3*q + 2*z + 6 = 0, j*q + q + 3*z = 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(11 + 7 + -8)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-624))\/(-6 + 245\/42)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72192 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17728688 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 42.3. Let c = -8 - s. Let m = -1.1 - c. Sort 0, 5, m in descending order.\nAnswer: 5, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 12*z + 16. Let p(h) = -h**3 - 2*h**2 + 5*h + 1. Let l be p(-4). What is the tens digit of d(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*b**2 - 526*b**2 + 1 + 2*b - 816*b**2.\nAnswer: -1169*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4023188237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*q - q - 4, 4*q = -2*d + 6. Let h be d*4*3\/4. Solve 0 = -4*c + 2*i - 6, 5*c - 6*i + 6 = -h*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (519 - 46*u - 519)*(3 - 5 - 1) + 2*u - 3*u - u + (2 - 3 + 3)*(-1 + 1 + 2*u) - 3*u + 0*u + 4*u + 0*u + 2*u + 0*u.\nAnswer: 143*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 20 and 654716?\nAnswer: 654696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 o when two letters picked without replacement from sxuiuosv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)\/sqrt(5)*6)\/(sqrt(5) - 2*sqrt(320)) - (5*sqrt(8) + -4 + 4))**2.\nAnswer: 5408\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/19833 and 15\/88.\nAnswer: 158664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*l + 3*l. Suppose -4*b + l = -b. Calculate the least common multiple of b and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -3 - 4\/(-2). Let c be 3*(4\/8 + 11\/2). Suppose -48 = 10*u - c. Sort 5, b, u, -4 in descending order.\nAnswer: 5, b, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28440\/78899 or 1?\nAnswer: -28440\/78899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*x - 12*x + 3*x)*(1 - 2 + 3)*(-4 + 4 + 2) in the form a + l*x and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 165 - 162. What is the third derivative of -17*x**2 + 0*x + 9*x**3 + 11*x**5 - 7*x**3 + 0*x - c wrt x?\nAnswer: 660*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or 5375\/1456?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 165*u + 2. Let g(z) = 495*z + 6. Let h(d) = 6*g(d) - 17*s(d). Let b be h(1). Is b\/2 - (-6)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 3*i - 2. Let g be f(-2). Suppose -2*r - 4*q = g, -2*q = -0 + 2. Suppose 30 = 32*v - 17*v. Solve -t + o = -r*t + 2, 4*t + 2*o - v = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 697858913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -k - 0*l, 25*l - 22*l + 2 = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/48*(-9)\/1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 177191569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0, -0.139, 4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 - 4.04. Sort 2, 2\/23, c in descending order.\nAnswer: 2, 2\/23, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v - 39*v + 660 = 59*v. Solve 4*p + 1 = -v*a, -4*p + a = -1 - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 c when three letters picked without replacement from yyayaayuayeyuceyc.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2966.9 + -2967. What is the closest to d in -2\/723, -0.1, 4, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/8 and 47\/318?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r**2 + 149*r - 10. Let g(l) = -2*l**2 + l - 2. Calculate -f(t) + 5*g(t).\nAnswer: 2*t**2 - 144*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*w + 61 - 99*w - 30 - 31 + 9*w**2.\nAnswer: 9*w**2 - 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 334 + -300. Calculate the greatest common factor of 170 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/5 and -58\/153.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17558, 35121, 52684, 70247, 87810?\n\"Answer: 17563*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -216, -314, -360, -336, -224?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*m + 6. Suppose m = -r + 2*r. Let t be (9 + 1)*1\/(-2). Put r, t, 1 in descending order.\nAnswer: r, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - s = 4*s - 9, -4*s = -3*j + 17. Suppose -j*z + 878 + 519 = 0. List the prime factors of z.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -118*v + 89. Suppose -103 + 127 = -4*r. Is g(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110102200220 (base 3) to base 13.\nAnswer: 36a242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -197.49 rounded to zero dps?\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4604461747?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -7084958 to the nearest 1000.\nAnswer: -7085000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 24. Let h = b + 15. Let o(x) = 35*x**2 - 6*x + 2. Is o(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93 (base 16) to base 11.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s + 4*s = -175 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3974.\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, z: 5}. Give prob of sequence jzj.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 410482333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 9*m**2 - 18*m + 22. What are the prime factors of n(12)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 6:08 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -67*o + 4. Let a be m(-1). Suppose 0 = 3*t - 4*f - 119, -a = -2*t + 2*f + 9. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.12 - -0.1. Let q = -0.1 - f. Let x = 20482 - 61448\/3. Which is the closest to x? (a) q (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 180868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l + 4. Let h be r(3). Let a(s) = s**3 + 4*s**2 - 7*s - 7. Let f be a(h). Suppose 4*v = v - f. Is 1\/3 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14155, -56679, -127553, -226777, -354351, -510275, -694549?\n\"Answer: -14175*c**2 + c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 435.21 and -0.584.\nAnswer: -254.16264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 558 + 22*y**2 + 3*y - 540 - 3*y to the form z*y + q + i*y**2 and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/810 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -20*56\/(-32) + 1. Let r be ((-2)\/3)\/((-8)\/(-312)). Let g = -17 - r. Calculate the greatest common factor of g and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422481 is divided by 105619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x**3 - 2*x + 25. Determine d(-3).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 2*f - 5. Let l(g) = g**2 + g - 2. Let v(y) = -13*l(y) + 6*m(y). Let d be 8\/64*4*(-17 - -17). What is v(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452459.\nAnswer: 7, 109, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11102 is divided by 3654?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34551547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a - 2*a)*(5 - 5 - 3*a)*(-18 + 12 - 1 - 7 + 6 - 6 + (6 - 2 - 3)*(-1 + 0 + 0)).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 261.99906 + -262. Let g = 11 + -10.999. Let y = t + g. What is y rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 828.8 in 0, -0.4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*q + 27 = 0, 10 = -5*b - 5*q - 30. Let r = b - -13. Suppose -c + 0*j = 2*j, 2*c + 3*j - 2 = 0. Solve r*o + c = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-99))\/(1*(-2)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)*g*g*g**1)\/(g\/g**(-2\/3))**(-1\/4))\/((g**(-2\/5))**(-1\/6)\/((g*g**(-2)*g*g)\/(g*g**(-1\/9)*g))) assuming g is positive.\nAnswer: g**(533\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 408, 1234, 2620, 4566, 7072, 10138, 13764?\n\"Answer: 280*p**2 - 14*p + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37755 + -15122. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69.65 + -73. Let q = g + 0.35. Sort 1\/2, q, -2\/13, 2\/7 in increasing order.\nAnswer: q, -2\/13, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) -3 (c) -13\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.4, -18479, 0 in ascending order.\nAnswer: -18479, -0.4, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) -4 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 2. Let r be w(-2). Let g(p) = -p**2 - 4*p + 3. Let k be g(1). Let h be k\/6*8\/(-12). Put 5, r, h in increasing order.\nAnswer: r, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29, 131, 411, 959, 1865?\n\"Answer: 15*z**3 - z**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 85782302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14a3 + -6?\nAnswer: -14a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 479*p**4 + 418*p**3 - 151740*p**2 + 2*p + 1.\nAnswer: 11496*p + 2508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 57 = -12. Let a(h) = -h + h**3 - 2*h + 16 - 3*h**2 - 13. What is a(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.36 - 27.64. Let y = b + 29. Let h = 5 - 7. What is the nearest to y in -0.2, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 2676*p - 895122.\nAnswer: -2*(p - 669)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-56))\/((-2)\/40)*28\/(-70).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -235*r*s**2 + 19*r*s + 5770*r - 2099*s**2 - 48*s + 740 wrt r.\nAnswer: -235*s**2 + 19*s + 5770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 2388\/(-792))*-6?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/(-30))\/((-2200)\/33000)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - -3. Suppose 2*f + 2*c + 2 = -0*c, 0 = 3*c + q. What is the third derivative of -19*o**2 - f*o**3 + 3*o + 9*o**2 - 3*o wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 3\/3)*7\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 22*c - 4. Let x be t(3). Suppose 5*h = -x + 642. Round h to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161832*a*w**2 + a*w + a - 26*w**2 + 6*w - 12381472 with respect to w.\nAnswer: -323664*a*w + a - 52*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (-1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/16)\/((-2)\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 12*y + 78*y**3 - 4*y**4 - 76*y**3 - y**4 + 6*y - 3*y**4 as r*y + l*y**4 + p*y**2 + a + b*y**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 200121?\nAnswer: 200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -692, 174 in decreasing order.\nAnswer: 174, 3, -2, -692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/3 + 4\/6. Let h be (-5*(-4)\/(-150))\/((-2)\/(-4)). Which is smaller: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3156, -3159, -3162, -3165?\nAnswer: -3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-336)\/(-216)*(-108)\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 344. Suppose 2*p = 70 + o. Calculate the highest common factor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j - 2*j)*(-2*j**3 - j + j) + (-557*j - 5*j**3 + 557*j)*(-18 - 8 + 27 + 33*j) - 3*j**4 - 3*j**4 + 4*j**4.\nAnswer: -159*j**4 - 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.66 + -2.24. Let h = o - -12.9. Which is the second smallest value? (a) 0.2 (b) h (c) 0.4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 153 + -151. What is p in 2*p**5 + 6*p**4 - 2*p - 2*p - 6*p**a - 682*p**3 + 684*p**3 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 11:27 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541 - 270*q + 541.\nAnswer: -270*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -3*d**2 - 12*d - 1. Let b be u(3). Let f be (-3*(-4)\/b)\/(10\/(-100)). Let h(j) = -j**3 + 5*j**2 - 4*j - 3. Calculate h(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Suppose 0 = -x - 8*x + 54. Suppose 2*d + 5*s - 19 = 0, -4*d + 33 = 3*s + 2*s. Let t(u) = x + 8*u**2 + d*u**2 + u**2 - 15*u**2. Give f(t(a)).\nAnswer: 2*a**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 15718095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5919 = 6*l - 3*l, 5*l = -2*v + 9837. Suppose -u - l = -4*r, 3*r + 0*u + 5*u = 1448. Does 25 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477774959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.48 - -12. Let t = m + -131.52. Let p = -133.061 - t. What is p rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -106, -166, -228, -292, -358?\n\"Answer: -n**2 - 55*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 6*n + 42 = 11*k, -9 + 8 = 2*k - n - 19 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -26685362?\nAnswer: -1\/2425942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57465223 + 4?\nAnswer: -57465219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-1 - sqrt(396))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/15*30\/(-105)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2780*d**5 - 59452*d**4 + 355584*d**3 + 579808*d**2 + 165056*d - 2496 = 0. What is d?\nAnswer: -26, -1, -2\/5, 2\/139, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - 0.35. Let y = 9 - 9.6. Let q = y - n. Sort q, -3\/8, 2.\nAnswer: -3\/8, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216181700 a multiple of 3710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-40)\/(-15)) + (-22)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -4*o + 162. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 + 1)\/3*-11 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -1, -259 in descending order.\nAnswer: 2, -1, -4, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17042 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2289*k**3 - 449*k**3 - 1022*k**3)*(2*k + k - 2*k) in the form z*k**2 + v*k**4 + i*k**3 + x*k + j and give v.\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-42)\/408*(2 - 24) + (33 - 37)?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 2, 4.5 in decreasing order.\nAnswer: 42, 4.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -424 (base 10) to base 15\nAnswer: -1d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-2\/57)\/m)**(-1) assuming m is positive.\nAnswer: m**(-55\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -28225, -56532, -84839, -113146, -141453?\n\"Answer: -28307*v + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z + 3 = -3*t, 0 = -4*t - 8. Let w(a) = 2*a**2 - 2*a + 1. Let d be w(z). Suppose -n = -4*n. Put d, 5, n in ascending order.\nAnswer: n, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -2 - (-2 + -32 + (21 - 15)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 2*m + 78. Suppose 45 = 13*b - 46. Let j be i(b). Sort j, -2, -1 in ascending order.\nAnswer: j, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137907 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 2*d + 1. Let o be q(-2). Suppose 321 = 4*n - 5*a - 0*a, 4*n - 3*a = 311. Let s = n - -79. What is the greatest common factor of s and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1179 + 545. Is 5\/(5\/q)*25\/(-50) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3470 is divided by 440?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 3)*(-5*t - 30 + 3*t + 43) in the form s + m*t and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = x - 3*x + 3*r, -74 = -3*x + 4*r. Calculate the remainder when x is divided by 14 - (3 - (3 + -3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 76*j**3*n**3 + 85226*j**3*u + j**2*u + 462*j*n**3 + 3*j*n**2 + n**3 - 68*n**2 wrt j.\nAnswer: 456*n**3 + 511356*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 695483 or 695481?\nAnswer: 695481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 5. Let t be v(-4). Let x be 8 + -6 + t\/5. Let s = -0.35 + 5.35. Which is the second smallest value? (a) -2 (b) x (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38975, 77472, 115969?\nAnswer: 154466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4708 and 4383576.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*a - 82*a + 3048. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 2*a - 3. Let x(z) = -z**2 + z. Let p be 7\/((-21)\/48)*(-3)\/(-12). Determine p*x(d) + i(d).\nAnswer: 5*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4205 and 1628495.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:41 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/6)\/(1\/(-2)). Let l(f) = -f - 6. Let j be l(o). Let i = 5 + -5.2. Which is the closest to j? (a) 2\/7 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t**3 + 263*t**2 + 151*t + 57. What is l(-37)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5330, -11134, -17588, -24692, -32446, -40850?\nAnswer: -49904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*j - 0 - 83, 2*b + 86 = 5*j. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1\/7498 (c) -2 (d) 6\/11 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 352, 357, 374, 409, 468, 557?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708680 divided by 50620?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 48. Let i be (1\/2)\/((-1)\/(-70)). What are the prime factors of ((-60)\/i)\/(2\/f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12100 (base 4) to base 16.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3614*j**2 - 14459*j - 9. Determine b(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-331 - 75)\/(-29))\/((196\/(-24))\/7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -a**2 - a - 8. Give t(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 - 0*(-2)\/(-10). Suppose -z*l + 162 = -16*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15595726.\nAnswer: 2, 1321, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.140229 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 672 + -648. What is the units digit of 24639\/24 + 9\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/25050 and 32\/603?\nAnswer: 5035050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20515 or -20512?\nAnswer: -20512","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -0.5, 3 in ascending order.\nAnswer: -29, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 - (-104 - -129) - 118.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 21001?\nAnswer: -20332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3128.8 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/3 - -5. Let x = -2.43 + 0.13. Let o = 2.7 + x. What is the nearest to h in o, 1\/8, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -990*v - 1421. Is m(-42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c1 (base 16) to base 14\nAnswer: -db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -112, 1, 0.1 in ascending order.\nAnswer: -112, -0.4, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7282 = 1603*v - 1601*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52604.\nAnswer: 2, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -20 + 0 + 29 + -22.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6) - 161524\/(-55065)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 6ac14?\nAnswer: 6ac0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 55 - 125. Suppose 4*n = -i + 44. Solve a = -n - 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 + -1 + (13 - -60).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -238, -242, -246, -250, -254?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1256, -4309, -9006, -15353, -23356, -33021, -44354?\n\"Answer: -j**3 - 816*j**2 - 598*j + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/47, -1, -0.5.\nAnswer: -1, -0.5, 2\/47, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-275)\/(-22))\/(-1)*1*(-24)\/(-160).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**2 + 11*i + 6. Let a = 151 - 146. Let q(k) = -6*k**2 + 10*k + 5. Let x(n) = a*g(n) - 6*q(n). Let z(o) = o. Give z(x(j)).\nAnswer: j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 4*b - 90. Give w(0).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (35 + -34)*9573\/(-9)*-3?\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-13))**(22\/3))**(-5) assuming p is positive.\nAnswer: p**(1430\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 2.87.\nAnswer: 22.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54857754337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208247, -208252, -208259, -208268?\nAnswer: -208279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g = -3 + 31 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-10)\/6) - -7. Which is bigger: r or 9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111000010111 (base 2) to base 9\nAnswer: 30372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -626550 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -271861 - -452570. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.8192 + 0.8192. Let r = -0.7 - 0.3. Put -0.03, 0.2, o, r in ascending order.\nAnswer: o, r, -0.03, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243215 by 6.\nAnswer: -243215\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d + 6. Let w = 201 - 207. Determine k(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5998 + -3017. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrlphlwlhl. Give prob of picking 2 l and 1 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d**2 - 2)*(-d - 8191*d**2 + 7905*d**2 + d).\nAnswer: 572*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1893, 1891, 1885, 1875, 1861, 1843?\nAnswer: 1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, o: 2, r: 2, c: 2, d: 4}. Give prob of sequence rc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 4235205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -12*t**2 + 74*t + 75. What is d(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -91 in 4, 11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 3345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67350728 greater than or equal to 67350727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 10:58 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/8, 7\/4, -2?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/11 - 54548*v\/11 + 2287488\/11 = 0. What is v?\nAnswer: 42, 27232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.36 in 0.3, -3, 5, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1262 and 83\/102?\nAnswer: 64362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 8235.8 to the nearest ten.\nAnswer: 8240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259593.5ml to litres.\nAnswer: 259.5935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.482 times 0.0615\nAnswer: -0.029643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 3:57 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -10340878?\nAnswer: -10340877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14263484 (base 10) to base 7\nAnswer: -232144334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -43627991 < -43627986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1*2)\/((-21224)\/14402)*12\/(-3)*-3\nAnswer: -114\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248895*d**4 - 498*d**3 - 44*d**2 + 4*d + 348198.\nAnswer: 5973480*d - 2988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562435277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - (sqrt(15)*3 + sqrt(15))*3)\/(sqrt(605)*-2).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1600 and 720960.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32637, 65230, 97809, 130374, 162925, 195462?\nAnswer: 227985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Let d(l) = -449778*l. Calculate d(o(f)).\nAnswer: 899556*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/7 - 352*r + 108416.\nAnswer: 2*(r - 616)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 397188936 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*b + 2. Suppose -3*v - 5 = -20. Suppose v = -54*t + 59*t. Sort -4, t, b.\nAnswer: -4, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**7\/7 + 706*m**5\/5 + 43*m**3\/3 + m + 3980. Find the third derivative of h(x) wrt x.\nAnswer: 120*x**3 + 16944*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/10 (b) 2\/15 (c) 2 (d) -474 (e) 13.4 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 18. Let j be -2 + 16 + -4 + 3. Let b be o(j). Suppose 0 = -8*t + b*t + 63. Calculate the greatest common factor of 14 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -25 + -4 - -8) + -17?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-82)\/(-4) - (-3)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + -2 + sqrt(684)*1 + 5 + 2)*5.\nAnswer: -30*sqrt(19) - 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**3 - 6*f**2 - 6*f. Suppose -3*w = -4*v + 4 + 4, v + 9 = -2*w. Let x(s) = s**3 + s**2 + s. Give v*n(y) - 6*x(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9470 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j**2 - j + 3. Let z be y(0). Suppose -z*u - 2*u + 17 = 4*a, -3 = 3*u - 2*a. Suppose u = -2*m - 7. Sort m, -3, 1 in ascending order.\nAnswer: m, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 - -314 - 3)*1.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6 - 0. Suppose -o + 27 - 10 = 5*n, -n = -z. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 23*w - 58. Let s(r) = 1. Let n(t) = -d(t) - 4*s(t). Calculate the remainder when n(22) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*g - 2*g = 0. Solve d = -2*t - 3, g = -d + t - 0*t - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 3:32 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 - -33. Suppose -g*m = -49 + 4. What is the third derivative of 6*j + m*j**2 - 3*j - 3*j + 15*j**4 wrt j?\nAnswer: 360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(2*x - 2*x + x**2) - 4*x**2 - 3*x**2 + 0*x**2 - 2*x**2 - 2*x**2 + 7*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-3)\/(-30)*1). Suppose 25*v - 55 = y*v. Let s be (1\/(-2))\/(8\/(-64)). Solve -3*t + s = -v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 30*l**3 - 2*l**2 - 2*l - 3. Let m(s) = s**3 - s**2 - s + 1. Determine -2*m(z) + p(z).\nAnswer: 28*z**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1024))\/(sqrt(288) - (sqrt(288) + -2*sqrt(288)) - sqrt(288)) - ((sqrt(200) + -1)*6 + ((1 + sqrt(200) - sqrt(200)) + 3 - sqrt(200))).\nAnswer: -142*sqrt(2)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -115*i - 10 - 15*i + 11. Let b be o(-1). Is (-8)\/(-28) - b\/(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 18 = -t + 2*a, 3*t = a + 14. Suppose -4*o = t*i - 0*o - 110, -5*i = -3*o - 145. What is the remainder when 77 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3815*q**2 - 589*q**2 + 130*q**2.\nAnswer: -4274*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2\/45, -18278 in decreasing order.\nAnswer: 2\/11, -2\/45, -18278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/((s\/s**(2\/5))\/s)))\/s)**49\/(s\/(s**(1\/2)\/s))**(1\/8) assuming s is positive.\nAnswer: s**(-1583\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/1775, 0.5, 5\/6, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*h = 170*h - 4*r + 1624, -2*h - 1144 = 5*r. Do -552 and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**5 - 6*g**5 + 4*g**5)*(2 - 7 + 1) + 0*g**5 + 3*g**2 - 2*g**5 - 9*g**2.\nAnswer: 2*g**5 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 100 + 56. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241818100 to the nearest integer?\nAnswer: 15551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30992 (base 13) to base 14\nAnswer: 23b75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 0 + 2\/5*c**2 - 2\/5*c**4 + 6\/5*c - 6\/5*c**3 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -8*r**3\/3 - 1. Let m(v) = v**2 - 22 + 22. Give b(m(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 790*h**2 + 6*h + 2365. Calculate o(-395).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.72 (b) 0 (c) -12 (d) 7.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(448)*2)**2.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/4 + 46019*v\/4 - 11505 = 0.\nAnswer: -46020, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 = -4*i - 0*i, -5*o - 3*i = -17. Suppose -2*w + 40 = -2*a - 40, -o*w = -a - 160. Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l*y**4 - 711562*l*y**2 + 2*l*y - 5215999*l wrt y?\nAnswer: -8*l*y**3 - 1423124*l*y + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 6. Let a be z(-6). Suppose 3*w + a*w = 0. Let x = -8 + 6. Which is bigger: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-20) + (-9)\/(-2). Suppose -i*m - 8 = 2*u, 0*u = 2*u + 4*m + 6. Let b(p) = p**3 - 8*p**2 - 1. Let y be b(8). Sort y, -3, u in ascending order.\nAnswer: -3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/9)\/((t*t**(-19))\/t) assuming t is positive.\nAnswer: t**(170\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 91*s**2. Let d(g) = -42*g. Calculate d(r(n)).\nAnswer: -3822*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62193.87 decades in months?\nAnswer: 7463264.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16997.55 and -0.119?\nAnswer: -2022.70845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + (2 - (4 - -4)) + 12?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6 + 3*x + 2*x**2 - 3*x**4 + 2*x**4 to the form t*x**3 + s*x + v + w*x**4 + g*x**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1144049 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*70*(-1404)\/1638. Solve 0 = 3*f + 21*i - q*i - 15, -5*f + 5 = -5*i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 35*k - 175 = -0*l, -l - 15740*k = -15745*k + 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.2 + -28. Put -2\/9, 0.1, -0.1, f in increasing order.\nAnswer: -2\/9, -0.1, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65249073, 130498144, 195747215, 260996286, 326245357?\nAnswer: 391494428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 142 = -2*u + 4*q, 4*u = 3*q + 288. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w - 3886 = -1324. Suppose 46*o - 7412 = w*o. What are the prime factors of o?\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i - 64. What is m(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -34, 17 in increasing order.\nAnswer: -34, 17, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -142, -276, -442, -628, -822, -1012?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2928*y**3 - 3123*y**2 + 18*y - 18. Let c(p) = -732*p**3 + 781*p**2 - 4*p + 4. Let r(h) = 9*c(h) + 2*d(h). Find the third derivative of r(t) wrt t.\nAnswer: -4392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 1. Suppose 5*g + 0 = 5*c - 15, 5*c = -5*g - 15. Let u(t) = -4*t + c + 11*t - t**2 - 1 - 5. Determine u(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 545\/4. What is the closest to -1\/3 in u, -2.49, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -67.7066, -3 in descending order.\nAnswer: 3, -3, -67.7066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l**3 + 4*l - 9. Let m(y) = -7*y**3 + 2*y - 4. Calculate -5*m(v) + 2*s(v).\nAnswer: 5*v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5732044823 to the nearest integer?\nAnswer: 75710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from amaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -980.53665 rounded to 1 decimal place?\nAnswer: -980.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 299*y**4\/24 + y**3\/6 + 14*y**2 + 21*y. Let w(u) = -3*u. Give w(r(d)).\nAnswer: -897*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -15178746 and -15178747 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -22*r + 22. Let s be k(1). Let m be 1\/6*(3 + -1). Factor s*v - m*v**4 - 1\/3*v**3 + 0*v**2 + 0.\nAnswer: -v**3*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21.24 and 4.\nAnswer: 84.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 10 = 3*w. Let a = 0.21 - -0.09. Is a greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77, 103, 129, 155?\n\"Answer: 26*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l - 3 = 0. Let a = 1 + l. Which is smaller: -2\/21 or a?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from {h: 1, i: 1, p: 1, a: 1, t: 1, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 27.94. Let z = -0.14 - h. Which is the third biggest value? (a) -1\/4 (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434 greater than 428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:19 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003722984 to 7 decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1870745176*f. Let t(m) = m. Give t(w(n)).\nAnswer: 1870745176*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 139423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4941277 divided by -4941277?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.95 + -7.55. Let m = -0.12 - -0.06. Let n = m + -1.94. Which is the nearest to -0.7? (a) k (b) 1\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*i**5 + 180*i**4 - i**2 - 22*i - 901 wrt i.\nAnswer: 8220*i**2 + 4320*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 10) to base 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70 - 1005?\nAnswer: -a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1671, -6807, -15395, -27435?\n\"Answer: -1726*c**2 + 42*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60073.\nAnswer: 13, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 4*a + 3. Let c be t(-4). Calculate the greatest common divisor of c and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61478 (base 12) in base 13?\nAnswer: -4594a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h. Let o(a) be the second derivative of -a**3\/2 + 10*a. Give 3*c(x) - 8*o(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5756730 - 5756730.45999896. Let l = 18 + -17.54. Let j = y + l. Round j to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.93555 + -0.43594. Let u = 36 + -30.5. Let s = o - u. What is s rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*h + 207, -2*z + 4*z - 2*h = 130. Let r = z - 39. Calculate the least common multiple of r and 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + 2*p)*(2*p - 3*p + 2*p)*(3*p - 3*p - p)*(-3237 + 478 + 22).\nAnswer: 5474*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3717 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-50)\/(-100)*(-2)\/(-1). Let l(k) = -4*k - 16. Let d(u) = -u - 3. Let x(a) = -11*d(a) + 2*l(a). What is x(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o*q*y**2 + 11*o*q*y - 4*o*q - 1229*o - 2*q*y**2 - 13589*q*y wrt o?\nAnswer: 2*q*y**2 + 11*q*y - 4*q - 1229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 + -56 - -69) + 4 + -40.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (224\/(-5) - -4)*(-40)\/3. What is the third derivative of -561*h**5 + h**4 - h**4 - 48*h**2 + y*h**5 wrt h?\nAnswer: -1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 - -79. Let y = v - -68.0000058. Round y to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 116, 285, 568, 965, 1476, 2101?\n\"Answer: 57*u**2 - 2*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.9318 (b) 3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1565935, 3131877, 4697821, 6263767?\n\"Answer: t**2 + 1565939*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 41*b = 63 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -3 - (4 - 5). Is l at most 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 6:32 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 139*d**2 - 159*d + 2895. What is b(138)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 12\/25 of a hour?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(-6)\/(-30)*100\/16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -83ab3 + -877?\nAnswer: -8454a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63565 divided by -7.\nAnswer: 63565\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.964 + -0.864. What is the nearest to p in -2, 0, -9, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 12, a: 2, f: 3}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 483 + 14087*i - 2*i**2 - 7050*i - 7036*i in the form h + c*i + f*i**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x - 8. Let z be (-2)\/2*(1 + x). Suppose -4 = y, z*p - p - 14 = 5*y. Are p and -3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -898*t + 2 + 4 - 6.\nAnswer: -898*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b**2 - 15 - 1 + 16 + 26*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 + -3 + 4 + 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 9922976 and 0.12.\nAnswer: 9922976.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829855.8mm to micrometers.\nAnswer: 829855800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, i: 4, d: 2}. Give prob of sequence di.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 19*g**3 + 17)*(-3*g - g + 2*g).\nAnswer: -38*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9046.681 weeks in days?\nAnswer: 63326.767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -160 < -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22029.878 - 22087. Let i = -57.084 + 0.084. Let w = r - i. What is w rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/661, -10, -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 12, 18 = -5*n + s + 32 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/1*4\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48656 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98902481 a multiple of 353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2767, 11011, 24701, 43795, 68251, 98027, 133081?\nAnswer: 173371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 4. Determine o(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -342236*w + 16 - 7*w**2 + 8*w**2 + 342242*w. Determine x(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 3. Let c be y(3). Is 0*(-2 + c) - -31 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1 - 244*b**2 + 247*b**2 - 1. Let u(l) = -2*l. Determine k(u(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 4, y: 8}. What is prob of picking 2 y?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/12*6 + (2 - -1023) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884, 949, 1058, 1211?\nAnswer: 1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21528619*b**6 + 7493061*b**2?\nAnswer: 2583434280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in 2, -5, 0.04, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 - 3*b**2 - 12*b**2 + 15*b**2.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 5*y**2 + y + 14. Give f(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21192703 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 767844 a multiple of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + q + 2. Is l(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83 (base 14) to base 7.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4203328093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -2*y**5 + 3*y**4 + 37 - 67*y**3 + 79*y**3 - 3*y**4. What is the third derivative of r(k) wrt k?\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c916 (base 14) to base 9\nAnswer: 375081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 116 by 361.\nAnswer: 116\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26907, -106562, -239327, -425208, -664211, -956342, -1301607?\n\"Answer: -v**3 - 26549*v**2 - v - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35590*o - 22871*o + 5883*o.\nAnswer: -52578*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40548*j**2*m**2 + 2*j**2*m*z + 2*j*m**2 - 2626*m**2*z wrt z?\nAnswer: 2*j**2*m - 2626*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 50)\/(-5*(-12)\/90*(-21)\/(-2))?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z + 18. Let d(p) = -35*p + 33. Let m(v) = -6*d(v) + 11*y(v). Let c(b) = -4*b. Calculate m(c(o)).\nAnswer: -92*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 5*w**4\/12 - 5*w**3\/6 + 11*w**2\/2 - 44*w. Let n be -1 + -1 + (-2 - 1). Is g(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Let g = -2 + j. Solve 5*c - x = 14, 2*c - 5 = x - g*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.8, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 2 - ((-3 + -3 - (-8 + 106)) + 3).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(36)\/sqrt(4) + sqrt(9)) + sqrt(1331)*1 + 5.\nAnswer: 5 + 23*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 798 (base 11) to base 15\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18.83 from -20294.\nAnswer: -20312.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*2\/(-36)*3. Let h = 0.12 + -1.12. Are h and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/3*(0 - (1 + -4)). Let d(r) = 4*r + 3*r - o*r. Let v(k) = -k. What is v(d(b))?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 = 7*l - 500 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 3. Let s be f(0). Suppose 19 = -s*k - 8. Let o(h) = -h**3 - 9*h**2 - h - 9. Let b be o(k). Solve b = 3*c + c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12112 + -4?\nAnswer: 1210a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 q, and 1 w when four letters picked without replacement from qwqqqwwqwwl.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.893 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.035 - -0.79. Round a to 2 dps.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 548957 - -3954759.06.\nAnswer: 4503716.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-9))\/(4\/(-6)). Which is the smallest value? (a) -5 (b) -0.6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1756856, 1756766, 1756672, 1756574, 1756472, 1756366, 1756256?\n\"Answer: -2*b**2 - 84*b + 1756942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*t**2 - 71*t - 3*t**2 + 28*t - 9*t**2 - t**4 + 14 + 37*t to the form m*t**2 + b + g*t + j*t**4 + d*t**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153*f*j*k + 16*f*j*s**3 - 2*j**3*k*s**2 + j**3*s**3 + j**2*s**3 + k*s**3 with respect to k.\nAnswer: 153*f*j - 2*j**3*s**2 + s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 7:22 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = 4*h, 3*x - 2*h + 16 = 7*x. Suppose x*p = -2*z - 0*z + 16, 0 = 5*p + 10. Let v = 12 - z. Solve 4*u + v = -16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -134 - 80. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -64 (b) -0.08 (c) -2\/5 (d) -400\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111101001011001 (base 2) in base 15?\nAnswer: -13ec9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 67. Let l = -5 + 4.7. Let m = 2 - 2. Which is the nearest to m? (a) l (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2\/3, -3, -5162, -1.2 in increasing order.\nAnswer: -5162, -5, -3, -1.2, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -3. Let y = v - 2. Let m = y - -2. Solve 0 = m*l - 1 - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/4, -4056, -3, 4, -4\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*u - 2, d - 6*d + 5*u + 20 = 0. Calculate the least common multiple of d and 34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnh when three letters picked without replacement from hhnhhhnh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*j - 286*j + 127356*j**2 - 256*j.\nAnswer: 127356*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = k + 2*l, -6*k + 4*l = -3*k + 67. Let z be ((-20)\/6)\/(14\/k). Let b(y) = -3 + 1 + 4*y - z*y. What is b(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-16)*-2)\/(9\/(-36))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 9*a**2 + 15*a + 28. Calculate o(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 5*k - 1. Let c(y) = 2*y**2 + 10*y - 2. Let a(r) = -6*c(r) + 12*h(r). Let q(v) = -9*v**2 + 2*v. Calculate a(q(f)).\nAnswer: 972*f**4 - 432*f**3 + 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 121 - 18 + 12 + v.\nAnswer: v - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -9 - (-56 + (9 - 4))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.02 + -18.22. Which is the second smallest value? (a) p (b) 3 (c) 0 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0 (c) -9 (d) 0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4672483*b - 4191*b**2 - 4672483*b + 3 + 11 - 1 - 2*b**2 + (-b + 2*b + b)*(0*b - b + 3*b) in the form s*b**2 + g + l*b and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j + 65. Let y be g(0). Suppose 0 = -f - 5*l + 43, -y = -5*f + 2*l + 96. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -857*w**4 - 136269*w**3 - 2*w**2 - 288927995*w wrt w.\nAnswer: -10284*w**2 - 817614*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*y + 7 = -2*d, -4*d + 5*y - 13 = 0. Is d - 149*(4 - 9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z + 2*z**2 + (-4*z + 3*z - z)*(-2 + 2 - 2*z) + (-2*z - 2*z + 6*z)*(2*z + 2 - 2) + z**2 + 2 - 2.\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 5*z + z)*((-8*z**4 - 60*z**3 + 60*z**3)*(2 - 4 + 0) + 21*z**4 - 38*z**4 - 27*z**4).\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - j**2 - 1. Let i(a) = -2*a**3 - 2*a**2 - 3. Let n(k) = k**3 + 20*k**2 + 2*k + 43. Let o be n(-20). What is o*g(f) - i(f)?\nAnswer: 5*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398193297?\nAnswer: 3, 37, 167, 21481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*k - b - 11, 3*k + 9 = -4*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 866683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31561 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shsms. What is prob of picking 2 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.064261 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1319 is divided by 1018?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13005 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(5) - -5*(sqrt(5)*-3)**2) + -3 + (sqrt(180) - (sqrt(180) - 1*sqrt(180))))*-3.\nAnswer: -660 - 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3\/5, -0.12, 1\/15, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6024 + -6024. Let h = 55 - 35. Suppose m + 3*m - h = 0. Solve c = -d*q + q + 5, 5*c + 5 = -m*q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*r + 4*r - 9*r**2 - 5*r + 2*r wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by -740827?\nAnswer: -52\/740827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u**3 - 3*u**3 - u**3)*(5*u**2 - u**2 - 3*u**2 + (2*u - 3 + 3)*(-3*u - 14 + 14)) - u**5 - u**2 + u**2.\nAnswer: -11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -47946 (b) -0.5 (c) 1 (d) -2.1 (e) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6*(0 - 3\/(-2)). Factor -1\/4*x**4 + 0*x**3 - 1\/4 + 0*x + j*x**2.\nAnswer: -(x - 1)**2*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2377181\/63 + 37729. Let h = 35\/9 + z. What is the nearest to -2\/7 in h, -3, -0.08?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120270 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1814 + 1819. Let q = -7.1 + -0.9. Let x = q - -6. Which is the second biggest value? (a) r (b) x (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 7*z - 13. Let w be p(0). Let n = -10 + 5. Sort n, -3, 0, w.\nAnswer: w, n, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 60 and 174 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30469.11*-1.\nAnswer: 30469.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 12. Let z be h(0). Let n be (5 + z)\/(2\/(-4)). Let o be -1 + (n\/(-8) - -3). Which is the nearest to o? (a) 0.1 (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 6*y + 7. Let x(d) be the third derivative of d**3\/6 + 2*d**2. Let m(q) = c(q) - 6*x(q). Give m(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/2)\/(6\/(-36)). Let m = 24 - p. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.4 times 2?\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1668\nAnswer: -1\/1668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*d + 101, -4*c - 256*d = -257*d - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 342807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 34 and -2.09.\nAnswer: 31.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-684)\/(-42) + (-4)\/14 and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -154*t - 1491. What is the units digit of j(-67)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/(y\/(y\/((y*y**4)\/y)*y)))**(2\/119)\/(((y*y**1)\/(y*y**3))\/((y**(1\/12)*y)\/(y\/(y**(-5)*y*y)*y))) assuming y is positive.\nAnswer: y**(-2761\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 - -11. Suppose 0 = -5*m - r + 293. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 9 (b) 3\/2 (c) 2 (d) 2.6 (e) 232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 66 = 10. Let b be y\/(-5) - (-8)\/20. Let u(j) = -j**3 + 7*j**2 + 9*j + 4. Let n be u(b). Solve -3*a - a = -n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.07 and 64.\nAnswer: 64.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-168)\/(-1440) - (-4)\/30. Which is the closest to 1? (a) p (b) 0 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24377 is divided by 12138.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 r, and 1 m when four letters picked without replacement from {e: 2, m: 2, r: 8, u: 3, x: 4, s: 1}?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165551738 and 96272.\nAnswer: 12034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 15) to base 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-1))\/1 - -4. Suppose l*g + 3*f - 471 - 714 = 0, 237 = g - f. What are the prime factors of g?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 5. Calculate the remainder when 17 is divided by h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -3*i - 3*n - 1, -2*i + 4*n - 6 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 308 and 40.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11781 = 6*q - 125*q. Calculate the remainder when q is divided by (-2 + 1)*(-62)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - t - 2022. Let o = t + -388. Let f = -208 + o. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(13\/2)*(o\/(o**9*o)*o)\/o*o)**5 assuming o is positive.\nAnswer: o**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6 + 6)\/(2 - 1))\/(23 + -20). Let o(w) be the third derivative of 19*w**2 - 1\/16*w**4 + j + 1\/32*w**5 + 0*w + 3\/320*w**6 - 1\/4*w**3. Factor o(g).\nAnswer: 3*(g - 1)*(g + 2)*(3*g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 4. Suppose n - 3*c + 17 = 0, 2*n + 23 = -n - 5*c. Let q = -15 - n. Let f be (q\/8)\/((-1)\/(-6)). What is v(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 55*a - 420. What are the prime factors of r(16)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*p - 417*p + 523*p = -1277*p + 49556 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -u**6\/60 + u**5\/30 + u**3\/6 - 2*u**2. Let l be v(2). What is the units digit of (l - -1)\/((-2)\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13.2, -16, 1\/3, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 - 1 = 0. Let s(i) = 4*i**3 - 10*i**2. Let u(a) = -4*a**3 + 9*a**2. Let c(f) = d*s(f) - 2*u(f). Factor c(w).\nAnswer: -4*w**2*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxzouxuwwworzwwrx. Give prob of sequence urzw.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96801435719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*i - 18 = -7*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 25 - 7)*(7 + 1 + 2)*(1 + g - 1)*(-3*g + g + 5*g).\nAnswer: 1170*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 7:19 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: cd53d3 (base 14) to base 16\nAnswer: 6a51ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1412646 and 149\/5650584?\nAnswer: 5650584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = c - 23, 4*r + 224 = 4*c + 10*c - 2*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203053 is divided by 592.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 0, -14 in decreasing order.\nAnswer: 5, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 923*d - 16 - 30 + 63 in the form f*d + l and give f.\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 9*z**2 - 17*z - 51. Let i be x(-10). Suppose 22*q - i*q = 408. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59821 - z - 3*z + 26112 + 3*z - 23533.\nAnswer: -z + 62400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3\/6 + 7 + (-36)\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4000393989.\nAnswer: 3, 444488221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50531.1 millilitres to litres.\nAnswer: 50.5311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -276 - -288017439\nAnswer: 288017163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*u**3 - 52 + 32*u**2 - 15*u**2 - 17*u**2 wrt u.\nAnswer: 117*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -1. What is the first derivative of -3*p**2 + 3*p**2 - 1 + 2*p**2 - 3*p**q wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1850 + -1845. Let q = -13 - 0. Sort j, q, 4 in descending order.\nAnswer: j, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3357375 divided by -35\nAnswer: -95925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 2303011.4450396 and -22.\nAnswer: 2302989.4450396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 17. Solve 6 + 3 = -d*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 55 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 155067?\nAnswer: 2636139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**2 - 137985*a + 413982 = 0?\nAnswer: -45998, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + -37. Let y = 98.47 + -17.47. Let v = k + y. Which is the second biggest value? (a) 4 (b) v (c) 1.8 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179 - -538\/3. Let d(m) be the third derivative of 0*m + 4*m**2 + j*m**3 + 0 - 1\/8*m**4. Calculate d(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292717 is divided by 226.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -385, -578, -769, -958, -1145, -1330?\nAnswer: -1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126855 divided by -2819.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 greater than -59855\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -5)*2\/8\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3141964 and 364?\nAnswer: 40845532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-19 - -5) - (71 + (-2 - -4)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (17 + 23 - 72)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 - 73. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 21. Let d be l(0). Suppose 17*h + 48 = d*h. Let v(a) = -a**3 + a + 35. Calculate the remainder when v(0) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0*v**4 + 7*v**2 + v + 0 + 1\/60*v**5 - 31\/3*v**3. What is the first derivative of u(i) wrt i?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 g when four letters picked without replacement from ahaghhggh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/11, 2\/5, 2\/7, -5, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/14 - 1180\/14. Let u = o - -84. Suppose 4*v - 5*w - 124 = 389, v + 5*w - 147 = u. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170.738 + 171. What is f rounded to two decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 428, -61, 1 in decreasing order.\nAnswer: 428, 1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-18)*3\/(-12)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.18 + 0.18. Let y = 1 + r. Let s = y + 12.9. Which is the nearest to s? (a) 5 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -375487.402 + -0.195.\nAnswer: -375487.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 100*z + 96*z - 4 to t*z + v and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 6, -1, -5 in descending order.\nAnswer: 6, 3, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -366277690 divided by 5\nAnswer: -73255538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -47, -70, -101?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -31. Suppose 0*l - 5*l + 200 = 0. What is the greatest common factor of h and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + v + 23 = 0, -13*v - 1 = -2*m - 16*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6037097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -131, -295, -547, -899, -1363, -1951?\nAnswer: -2675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 + 2585. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1896 is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150.76 + -150.77. Which is the closest to z? (a) 6 (b) -1 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z - 8*z + 0*z)*(-1 - z + 1)*(-4 + 4 - 3*z) as w + o*z**3 + y*z + v*z**2 and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 227 + -221. Solve o - g = 3, r*o - 31 = o - 3*g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {y: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(8) + sqrt(17) + 3)**2*4.\nAnswer: 48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -382 + 610. What is the fourth biggest value in 3\/2, -1\/6, q, 1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x - 181721 + 700253 = 0. What are the prime factors of x?\nAnswer: 2, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -285, -1641 in increasing order.\nAnswer: -1641, -285, 15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -89. Let u = t - -85. Is 1.4 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 7. Let y be -1 + -2 + 11 - 2. Suppose -y = -i + a*i. Sort 3, -4, i in decreasing order.\nAnswer: 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1)\/v)\/v)**(-4)\/(v\/v**(3\/2)*(v\/(v*v\/(((v*v**(-4))\/v)\/v))*v)\/v*v))**(10\/3) assuming v is positive.\nAnswer: v**(175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)*(5 + -6). Let t = v - -4. Suppose -z + 16 = -t*z, 4*h = 4*z + 60. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11285)\/(-244) - 47)*(-2 + 1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 32*m + 98. Let y(o) = 14*o - 1. Determine l(x) + 7*y(x).\nAnswer: -x**2 + 66*x + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.24, -5, 0.2, -114?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 1348, 2819, 4648, 6703?\nAnswer: 8852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a microsecond in nanoseconds?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5360 divided by -215\nAnswer: 1072\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1435*d**2 - 9820*d - 41640125 with respect to d.\nAnswer: -2870*d - 9820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 u when three letters picked without replacement from fbfbuuubeuhubmbu.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 44. Let z(s) = 72*s**2 - 5*s - 4. Calculate the remainder when z(i) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6*w - 80 = -5*k, k + 110 = w. Let a = -1 - -10. What is the remainder when w is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -525*s = -526*s - 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -68598.7 rounded to the nearest 1000?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0 = 2. Let u be (-2)\/(-1)*(z + -21). Let m = -23 - u. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) -0.3 (c) 3 (d) 1\/3 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s. Suppose 0 = -s*j + 4*j - 12. Suppose 0*r + 207 = j*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121331140.\nAnswer: 2, 5, 7, 37, 59, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1438*o + 11 = 4*y + 1435*o, 0 = 54*y + o - 107 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51636, 103264, 154896, 206532, 258172, 309816?\n\"Answer: 2*j**2 + 51622*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -225 - 63 - 29*b**2 - 108*b**2 wrt b.\nAnswer: -274*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 1\/336*s**8 + 1\/24*s**4 - 1\/60*s**6 + 0*s + 1\/105*s**7 + 1\/3*s**3 + 0 - 13*s**2 - 1\/15*s**5. Solve d(x) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:05 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(780\/4000)*-45. What is the greatest common factor of 48 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -165 = -165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 64*o - 25. Calculate k(2).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210\/88 + 60 + (-19173)\/308.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8692358027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-60)\/50)\/((-3)\/1120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 11. Let f be i(3). Let b = f - -27. Let j be -4 - -5 - (2 - b). Calculate the highest common divisor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1430980*c**3 + 1934*c**2 - 5*c + 3.\nAnswer: -8585880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1, -708.7, 5, 1.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 612.7 + -612.2. Put -1\/59, h, -2, 0.1 in ascending order.\nAnswer: -2, -1\/59, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q*s**2 - 29577768*q + 6562*s**2 + 4189*s wrt q?\nAnswer: s**2 - 29577768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1298902 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1168728*t. Let d(o) = -32*o**2. Determine d(x(r)).\nAnswer: -43709604415488*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-6)\/(-180) + (-4)\/60*-7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-28)*1 + 60\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-24)*i**(3\/5)\/i assuming i is positive.\nAnswer: i**(-122\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -364\/23? (a) 3 (b) -3 (c) -8913\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73030 = -39*b + 549142. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 853637710?\nAnswer: 2, 5, 85363771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 1 - 1 - 5. Let s be o\/10 - 37\/(-5). Calculate the greatest common divisor of 14 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.12 + -0.28. Let v = -0.4 - u. Let k = 13 - 18. Which is the third biggest value? (a) k (b) v (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**9\/68040 + j**8\/30240 - j**4\/24 - 3*j**2. Let s(x) be the second derivative of i(x). Factor s(m).\nAnswer: -2*m**3*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4717415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -24.042.\nAnswer: -2.4042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17 - 14*x + 5*x + 7*x + x - 11*x**2 wrt x.\nAnswer: -22*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3101.1445 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -42*x + 13. Let n be h(4). Let q = -90 - n. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, 26, 53, 84?\n\"Answer: 2*q**2 + 17*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -714833, -714854, -714863, -714854, -714821, -714758, -714659, -714518?\n\"Answer: u**3 - 28*u - 714806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1925 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 216*a. Let m(s) = 482*s - 1. What is m(y(z))?\nAnswer: 482*z**2 + 104112*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Suppose -4*p = 3*t - 27, 5*p - 20 = 4*t - s*t. Suppose -2*b - 3*w = -16, -t*b + 5*w - 12 = -b. Solve g + b - 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = f + 2*f - 22, 0 = 4*f - 5*t - 41. Solve 5*n + f + 1 = 2*j, 4*n - 3*j = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12210 = -4*p + 2*k, 4*k + 272 + 11940 = 4*p. What is the remainder when p is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, b: 10, j: 5}. Give prob of sequence qbj.\nAnswer: 100\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 69. Let g(u) = u**3 + 3*u**2 - 7*u + 3. Let a(d) = 3*d**3 + 8*d**2 - 20*d + 8. Determine c*g(r) - 3*a(r).\nAnswer: -r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g. Let f be v(3). Find the second derivative of -f*x**3 + 0*x + x + 9*x**3 wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q + 21 = 0. Suppose 60 = q*t - 3*t. Suppose g - 2 = -0*g, -k - 2*g + t = 0. Calculate the remainder when 19 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10046 times 1052.2?\nAnswer: -10570401.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 15 = 2*c. Suppose 5*d - 2*j - 21 = -0*j, 25 = 3*d + 5*j. What is the second derivative of 2*h - 62*h**c - d*h + 55*h**5 wrt h?\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/1806662 and -9\/1389740?\nAnswer: 18066620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/806 and -18\/169.\nAnswer: 10478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 + 13*f**2 + 4*f - 3*f as i*f**2 + l + w*f and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120669 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - (143 - 15 - 40)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-8) + 500\/16. Calculate the highest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 17, -21, 1, 24\/5, -9, 2\/7?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 30135?\nAnswer: 30133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.548 + -0.152. Let c = -11 - f. What is c rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.2 - 11.2. What is the third smallest value in -5, 3\/5, j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3104607 - 28.\nAnswer: 3104579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256 + -390. Put k, 3, -2 in descending order.\nAnswer: 3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 4:37 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*b + 4*k, -2*b - 4*k + 0*k + 4 = 0. Let l be (-21 + 4)*1 + b. Let g = 17 + l. Let d(c) = -c**3 + 5*c**2 + c - 5. Determine d(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l + 2*h + 3, -4*l + 2*h = 10. Which is the closest to l? (a) -0.33 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32237, 64497, 96781, 129089, 161421, 193777?\n\"Answer: 12*y**2 + 32224*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*p - 8. Suppose 2*g + 3 = -f, -3*f - 31 = g - 42. Solve -f*o - 1 + p = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1094?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(2 + 1*(sqrt(11) + 2)**2).\nAnswer: -4*sqrt(11) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-60)*-1)\/(33\/(-297))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1330*o + 6353 - 829 = -21076 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/9 + 1184*r**3\/9 + 1180*r**2\/9 - 1184*r\/9 - 394\/3 = 0. What is r?\nAnswer: -591, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3959*t - 7643612*t**2 + 3959*t.\nAnswer: -7643612*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97910.\nAnswer: 2, 5, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195450 is divided by 437?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d - 2*d - 2*d - 1)*(-d + 3*d + 3*d)*(0 + 0 + 6*d)*(0*d - 2*d + d).\nAnswer: 480*d**4 + 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.333 - 134.667. Let s = y - -134.3. Let m = 0 - 0.1. Which is the biggest value? (a) m (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*o + 149 = -77, -4*z - o + 874 = 0. Let w = -133 + z. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 25 = -47. Solve 4*q - 8 = v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) - (-16)\/10. Suppose 0 = -p*k + 3*k - 2. Suppose 0*r + 2*r - 4*l = 0, -3*r = l. Solve -k*g + r = -2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.05 (c) 0.3 (d) -0.1 (e) 3.6 (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91991 is divided by 1976.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 4 - (-28 - (-6 + -10 + 14)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 2*v**3 - 31*v**3 - 3*v**3.\nAnswer: -37*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 u, and 1 v when four letters picked without replacement from {u: 2, t: 3, n: 3, v: 6, s: 3}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4718*m**2 - 3*m + m + 4 - 3*m + m + 4719*m**2. Let h(d) = -2*d**2 + 9*d - 9. Suppose -4*u - 2 = -18. Determine u*h(b) + 9*t(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/9 + 47936*c\/3 + 38973796\/9.\nAnswer: -4*(c - 36221)*(c + 269)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11223 and 47214.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -3*r + 117. Let m(c) = c**2 - 14*c**r + 6*c + 20*c**2. Let p(t) = -6*t**2 - 5*t. Calculate 5*m(u) + 6*p(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 4:31 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) 5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30 - 108 + 80 + 246*s - 63 - 105 wrt s.\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 607154*h - 6678688. What is s(11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/21 - (-2)\/7. Let q = -5 + r. Sort 3, q, -1 in decreasing order.\nAnswer: 3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**2 - 260*p**3 + 3*p + 88*p**2 - 3*p + 123*p**2 wrt p?\nAnswer: -1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 + (-102)\/(-9). Let h = 14 + -12. Solve 2*t = -h*t - n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 54 and 55 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 956, 1414, 1982, 2714, 3664?\nAnswer: 4886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 - 19*n + 56. Let z(k) = -2*k**2 - 9*k + 28. Let g(j) = 4*h(j) - 9*z(j). Let q be (0 - 10\/15)*-1*12. List the prime factors of g(q).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 266*l**2 + 1816*l - 785. Calculate x(259).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 270 = -10*i. Let l = 93 - 40. Calculate the remainder when l is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 - 2*g**2 - 3*g**2 - 2*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2166*s - 463530. Determine h(-214).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**42\/(((i\/i**(2\/11))\/i)\/i*(i\/(i\/(i**2\/i)))\/i*i) assuming i is positive.\nAnswer: i**(-306\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 2\/11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1173 divided by -51?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5310 (base 7) to base 8\nAnswer: -3515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1279*z + 1331*z + 5*z**2 - 2610*z.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = -6. What is the lowest common multiple of (2 - (1 + -2)) + n and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 23 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:38 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 11 + 4 = 0. Solve b + b - z*n = -17, 27 = -3*b + 5*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1898365.95ns to days.\nAnswer: 0.000000021971828125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12521?\nAnswer: 19, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25934 - 25947. Put -3, -1, -30, d in increasing order.\nAnswer: -30, d, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-3))\/(-4)*39\/(-65).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111755659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 185207 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 2. Let k be i(2). Let y be (-16)\/k + (-2)\/(-5). Let a be 10\/6 - 2\/(-6). Solve g - 3*x + x + 7 = 0, -y*g - 2*x = a for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525565927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47912741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 1118, 11 in descending order.\nAnswer: 1118, 77, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 bigger than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 340 and 340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {m: 1, c: 3, u: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - -1. What is the fourth smallest value in -1\/5, v, 2\/5, -7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 1\/(-5) - (-20)\/25. Put x, -0.4, 247, 5 in descending order.\nAnswer: 247, 5, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (756\/(-144))\/(3\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-84)*(0 - 4). Let v(z) be the first derivative of 1\/2*z**r + 1\/3*z**3 + 0*z + 1. Determine q, given that v(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 41 and 30 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - 40. Let s(n) = -n**3 - 7*n**2 + 38*n + 275. Let r be s(-6). Give k(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/3 + 2*p**2 + 122*p\/3 - 42 = 0 for p.\nAnswer: -7, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let n(u) = -9*u**2 + 6*u - 1. Let s(c) = 3*b(c) - n(c). Let w be s(5). Suppose -2*i = -w + 19. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 21*b + 17. What is c(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*((sqrt(228) - sqrt(228)*1*-1)\/(sqrt(192)*-6) + 2)*-2.\nAnswer: -3*sqrt(19) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3383881203.\nAnswer: 3, 1127960401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + p - 2 = 0, -4*p + 2 - 12 = 2*r. Is (2 - (-1514)\/3)*3 + r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1707 - 180?\nAnswer: -1887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 3. Let j(q) = -q + 1. Let f be 13\/4 + 2\/(-8). What is f*j(d) - p(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 259667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.21 and -7814.\nAnswer: -7813.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*m**3*o - 160*j*m*o**2 + 25*j*o**3 - 2*m**3*o**3 + 831*m**3*o - 6*m**2*o wrt j?\nAnswer: -m**3*o - 160*m*o**2 + 25*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -15113108 and -15113108 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 541, 399, -91, -929?\nAnswer: -2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 825*j - 6561. Calculate i(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/(-20)*10\/4. Suppose 2*p - 2*a + 328 = 6*p, 2*p + 2*a - 166 = 0. What is the highest common divisor of p and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -123, -97, -71, -45?\n\"Answer: 26*h - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 53 + -10 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2128 and 456.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -35*o**3 + 34*o**2 - 2*o + 6. Let j be x(2). Put -3, j, -2 in descending order.\nAnswer: -2, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1725.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:31 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:08 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30356 is divided by 1512.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -3. Calculate the common denominator of 49\/10 and t + (-1 - 106\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398533, -797067, -1195591, -1594099, -1992585, -2391043?\nAnswer: -2789467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (142\/36)\/(26\/(-1755)*-15*-150) and 63\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 32 + 46 + j**2 - 8*j**2.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940 + 5836 + 4235 = -847*b for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 574 and 1558.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) + 4\/30. Let p = 123.8 - 123.5. Let i = -1237.9 + 1238. Which is the nearest to p? (a) 1\/5 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8344 at most as big as -141859\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8166\/143 + -740\/13. What is the second biggest value in -509\/5, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -118, -129, -140, -145, -138, -113?\n\"Answer: c**3 - 6*c**2 - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + (21 - (-8 - -24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 236?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -9. Let k(r) = 2*r + 3. Calculate the remainder when 31 is divided by k(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 44 = -u. What is the remainder when 31 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.85. Let i = -0.4 - n. Let u = 4.85 - i. What is the smallest value in -2\/13, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 - -80. Let n(v) = 2*v**2 - 8*v - 9. Let u be n(w). Round u to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7) - sqrt(7)*2) + sqrt(7))**2 + 4 + sqrt(35)\/sqrt(5) + (sqrt(7623) + -1 + 2)**2.\nAnswer: 67*sqrt(7) + 7803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*x**5 - 24*x**3 - 180 + 198*x**2 + x**4 - 19*x**4 + 21*x + 35*x**5 - 11*x**5 = 0. What is x?\nAnswer: -3, -1, 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/120 - 7*v**5\/60 - 5*v**4\/24 - 3*v**3\/2 + v**2. Determine m(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1693?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 1 + 2 = -s, s = 4*o - 2. Let x be ((-6)\/(-5))\/(3\/10). Suppose 3*a - 120 = -a + 2*v, 0 = s*v - x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 297 + -306. Let g(u) = -12*u - 101. Let j be g(d). Solve s = j*s + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0163356124 to 5 dps.\nAnswer: 0.01634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h - 104. Suppose -t - 5*z - 19 + 48 = 0, 0 = -t - 2*z + h. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-9 - 3) - (2 - 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -70*c**3 + 7*c + 10. What is the tens digit of s(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vjvvj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 34 - (-521 + 488)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1969 is divided by 3*-1 - (70\/(-805) - (-2748)\/(-138))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162670 is divided by 483?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -8*p**2 + 37*p + 5 - 46*p - 13 - p**3. List the prime factors of j(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49*q**3*y + 430*q**2*y wrt q.\nAnswer: 294*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1065)\/(-18) + -59 - (1 + 716\/(-24)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 15*x + 1360 = 2*x. Calculate the remainder when 1970 is divided by x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1388 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 16*a + 3848. What is a rounded to the nearest 10?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174\/71, 1, -0.3, 0.2, -5, 7.7 in decreasing order.\nAnswer: 7.7, 174\/71, 1, 0.2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1313\/2 - 615. Let c = -13390797\/10 + 1340361. Let f = 1286 - c. Find the common denominator of j and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 (base 11) in base 5?\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5\/7 + 87600\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 3*b**3 + 2*b**2 + b**3 + 35 + 2*b**2 + 5*b + 11 to i*b + r*b**3 + q + w*b**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -262.37024 and 1.\nAnswer: -262.37024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 171*i**2 - 80*i - 15587. Give o(172).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -175114, -175172, -175260, -175372, -175502, -175644?\n\"Answer: g**3 - 21*g**2 - 2*g - 175092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.305588 and 292?\nAnswer: 89.231696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-66 - -13) + 29)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:52 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-9 - -1) + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 + (6 - (2 - -2 - (16 + -22))))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 316707 and 1000959?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -x - 17 + 4, -5*n + 17 = 3*x. Let w = -2 + n. Let y be 1 - (0\/(-2) + -2). Solve -v = -w*v + y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1030*y. Let d(l) = -90*l - 7. Let n(u) = -77*u - 6. Let m(s) = -6*d(s) + 7*n(s). Calculate f(m(k)).\nAnswer: 1030*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12030033332 (base 4) to base 14\nAnswer: 3036b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11000000001110101010 (base 2) to base 11\nAnswer: -498621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 824 - 356. Let t = o - 211. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45172 and 137971?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/244333 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 612 and 848.\nAnswer: 129744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -30.6127?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 120845501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36151 + 2072*g + 18074 + 18077 - 8498*g)*(-2 + 3 + 2) to a + z*g and give z.\nAnswer: -19278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/12 + c**3 - 3*c**2 - 3*c + 8. Suppose 3*l - 7 - 8 = 0. Let r be v(l). Which is bigger: r or -10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 0 = -5*p - 2*o, 0 = 5*p + o + 41 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbwb. What is prob of sequence ww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61687 or -431806\/7?\nAnswer: -431806\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10141 (base 5) to base 7\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 5 - 1 - 6 + v**2. Let p(w) = -w**2. Determine n(p(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p - 22*p - 9*p + 9*p - 37 to r + m*p and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/13)*(r\/r**(-3))\/r*r**(-6)*r*r**(1\/8)*((r**(-1\/2)\/r*r)**(-3\/5))**39 assuming r is positive.\nAnswer: r**(5029\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000032168299 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -3. Solve 10 + u = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3b4c (base 14) in base 9?\nAnswer: -661272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12.526 * 0.081\nAnswer: 1.014606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31521 + 145420?\nAnswer: 113455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47843878*n**3 + 83114561*n wrt n.\nAnswer: 287063268*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 160 + 153 = 5*a, 5 = 5*a. Solve t + 0*g = g + 4, -w*t = g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -15. Suppose 5*v - y = 9. Let z be 8*-3*(-2)\/v. What is the greatest common factor of z and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in seconds?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3*sqrt(4536)*-3)\/(2*(sqrt(800) + 2*sqrt(800))).\nAnswer: 27*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + ((-4674)\/120)\/(-19) and ((-5)\/((-300)\/(-237)))\/((-21)\/2).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*i + 102 + 14, -4*c = 3*i - 113. Suppose 5*a - 3*a - 28 = 4*p, 0 = -5*a - p + c. Calculate the lowest common multiple of 4 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -2, 0, -5\/159, -0.0576?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-144))\/(((-27)\/(-40))\/(-3))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 251, 356, 539, 806, 1163, 1616, 2171?\n\"Answer: j**3 + 33*j**2 - j + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-1)))**(-32\/7))**34)**(-2) assuming m is positive.\nAnswer: m**(-2176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 9. Let m(d) = -d**2 - 7*d + 8. Let v be m(w). Suppose -y + 2*y - 75 = v. Calculate the remainder when y is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 10*s**2 - 10*s + 12. Let k be p(-11). What is the units digit of -1*k*(8 - 16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 10*b**2 + 13*b**2.\nAnswer: 23*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 6*n. Let y(m) = 2*m**2 - 18*m. Let x(b) = -8*q(b) - 3*y(b). What is the remainder when 15 is divided by x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {d: 1, f: 1, y: 1, x: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/90*-5 - 70\/72. Which is the nearest to 17? (a) w (b) -1 (c) 0.02 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13047\/5 + 2600. Calculate the common denominator of d and -44\/1055.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (22 - -16 - 19) - -16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**4\/8 - 7*b**3\/3 + b**2\/2 + 4. Let v(w) be the second derivative of x(w). Is v(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31620 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10088 - 4.614?\nAnswer: -10092.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -1, 46, 0 in increasing order.\nAnswer: -1, 0, 41, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8913 < 8911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61298921 is divided by 61298916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufx when three letters picked without replacement from xruxfrfrrffrxfrfrr.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*w - 96, -4*w - 20 = -2*i - 194. Solve -w*t - 194 = 166 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 a when three letters picked without replacement from papxxazxppaxxxpx.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 13.8. Let i be ((-5)\/(-3))\/((-8)\/6). What is the nearest to 2\/3 in i, x, -2\/17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5968 and 7952?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*-1*3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -9*m + 24. Let i(a) = -5 + m - 1 + 0 + 2*a**2. What is i(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*q = 2*q + 496, -c - 4*q = 508. Let o = 1145 + c. List the prime factors of o.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/336 and -64\/77623.\nAnswer: 3725904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 6:58 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*t - 2*t + 3*x, 3*t + x = 12. Put t, -5, 1 in descending order.\nAnswer: t, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -59, -97, -155, -239, -355, -509, -707?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g**2 + 9*g + 8. Suppose 475 = 8*m + 539. Let a(z) = 9*z**2 - 6*z - 5. Determine m*a(j) - 5*d(j).\nAnswer: -2*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2183934 by 727978.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3738?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (30 - 5 - 11) - (19 + -10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 18. Let d = -19 + 58\/3. Sort 0.3, v, d.\nAnswer: v, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, -70, -285, -714, -1429, -2502, -4005?\n\"Answer: -12*z**3 + z**2 + 8*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6833*v + 18167 = 6342*v for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284*o**2 - 2399*o**2 + 1362*o**2.\nAnswer: 247*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 53 - 133. Let r = -17 + g. Let q be 51\/7 - 8\/28. Solve r*i = -q - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*s + 2199*s + 13788 = -56244 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26838 and 2286.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {g: 3, s: 1, m: 3, l: 3, b: 3, q: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 10*r**2 + 25*r - 12. Let n be a(12). Let u(z) be the third derivative of n*z**3 + 1\/60*z**5 - 1\/24*z**4 + 0 + 4*z**2 + 0*z. Factor u(s).\nAnswer: s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.1 and -14044963?\nAnswer: -29494422.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -117?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62231)\/(-19148))\/(286\/(-48)) - (1 + (-7)\/33).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -1.52. Let t = -0.08 + m. Which is the closest to t? (a) -0.1 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2. Let d(n) = -3*n + 1. Let o(s) = s - 1. Let h be 14*((-75)\/(-10) + -7). Let q = 16 - 12. Let i(b) = h*o(b) + q*d(b). What is i(u(a))?\nAnswer: 10*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.997 - -39.1. What is d rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 254500004533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 8557368.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29431 + 51317 = 182*b + 27164 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 20 = -4. Let m = 13 - c. Let y = -1.03 - -0.83. What is the third biggest value in y, m, 11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 185417 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 927 is divided by 184.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -687934, -1376004, -2064218, -2752576, -3441078?\n\"Answer: -72*h**2 - 687854*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 712*u**4 - 167*u**4 + 7655*u - 7921*u + 3*u**2 - 2*u**2 wrt u?\nAnswer: 13080*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001399 to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 3*g**2 + 4667 + 4*g**2 - 204*g + 535.\nAnswer: 2*(g - 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 517*y + 7. What are the prime factors of q(1)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -316411 and -14?\nAnswer: 4429754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p - 4*n, -4*n = -p - 21 - 2. Is (-382 - (-2 - -1))*p\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -741*d + 239. Let s be z(-5). Let f = 43416\/11 - s. Factor f - 40\/11*t - 2\/11*t**3 + 16\/11*t**2.\nAnswer: -2*(t - 4)*(t - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.419355 years in millennia?\nAnswer: 0.009419355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -22.1. Let j = 1.1 - 0.1. Let f = j + s. What is the closest to f in 2\/11, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -190, -383, -580, -781, -986?\n\"Answer: -2*l**2 - 187*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 1.1. Let w = 0.2 - 3.2. Let h = w - 2. Which is the second smallest value? (a) h (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 1 = -g. What is the remainder when (0 + g)\/((-3)\/81) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v**2. Let w(b) be the third derivative of -19*b**4\/6 + 3*b**2 - 533. Give w(d(k)).\nAnswer: 1064*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1336*1115\nAnswer: 1489640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*w**4*y**2 - 3*w**4 + 2*w**2*y**2 - 11*w**2*y wrt w.\nAnswer: -240*w*y**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21019 is divided by 2513?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 23*m**4\/24 + 2*m**2 + 24. Let i(f) = 2*f. Give i(w(v)).\nAnswer: 46*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3 + 3513*q**2 + 4113723*q + 1605723211 = 0 for q.\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -83. Let u(d) be the second derivative of 1\/12*d**4 + 1\/30*d**6 + 0*d**2 + d + 0*d**f + 0 - 1\/10*d**5. Factor u(v).\nAnswer: v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7991271031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -13 + 3 - (9 - 23).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 0, -31 = -0*w - 4*w - 3*j. Let h be (-8 - -9)\/(14\/4 + -3). Let r(l) = h*l - l - 10 + 10. Give r(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3392558 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 139, 388, 765, 1276, 1927, 2724, 3673?\nAnswer: 4780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776800 is divided by 388396?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 119 + -62. Suppose 0 = 5*b + b - 72. Let j(i) = 5*i**2 - 59*i + 8. Calculate the remainder when p is divided by j(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15 - -5)*2*2\/8. Let n be ((-72)\/30)\/(10\/25) + 6. Sort l, 2\/3, -13, n in increasing order.\nAnswer: -13, l, n, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*a + 16, -3*d = 2*a + d + 2. Suppose a*s = 109 + 182. List the prime factors of s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 176?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 15. Suppose -4*s = -5*t - 13, -s - 3*s + 40 = 4*t. Let f be d(s). Let k(r) = 49*r - 2*r**2 + 23*r + 1 - 9*r**2 - 72*r. Calculate k(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(1\/((-30)\/(-4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -5*l + 5*c, -2*l - 22 = -5*c + 25 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26513 (base 7) to base 2.\nAnswer: -1101111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/21 and -13\/4389.\nAnswer: 4389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -2, 3\/5, -4, -0.05 in increasing order.\nAnswer: -4, -2, -1, -0.05, 0, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1505395\/3402 + -5\/1701. Are t and 443 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 192703, 385431, 578183, 770965, 963783, 1156643, 1349551, 1542513?\n\"Answer: z**3 + 6*z**2 + 192703*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1621.33 + -1620.53. Let y = 86\/45 - 14\/5. Which is the second smallest value? (a) 2 (b) p (c) -3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (1058\/6 + (-2)\/(-3)). Let p = h - -359\/2. Which is the closest to 2\/5? (a) p (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 10*h**6\/9 + 8*h**5 + 55*h**4\/4 - 85*h**3\/9 - 35*h**2\/2 + 15*h - 20. Solve i(j) = 0.\nAnswer: -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.08, -1\/3, -1, 2293?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 41*s**2 - 43*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)*v*v**(-27)*(v*(v*(v*v*v*v**31)\/v)\/v*v*v)\/v*v**(-42))**(1\/10) assuming v is positive.\nAnswer: v**(-133\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q - 35652 - 24*q - 20*q + 35651. Let d(i) = 4*i. Give d(o(y)).\nAnswer: -212*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - (12 + (8 - 25) - -8).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 13*y - 4*y**2 + 1 + 6*y**2 + 15 - 7. What is the tens digit of z(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11122, 11113, 11098, 11077, 11050, 11017, 10978?\n\"Answer: -3*l**2 + 11125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 929 = -949 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2. Let n(x) = 300*x - 33. Calculate n(f(k)).\nAnswer: -300*k**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6223 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*m*o*q - 2*m*o*t + 36*m*q**2*t - 2*o*q**2 + 2*q**2*t - q**2 - 2*q wrt o?\nAnswer: -9*m*q - 2*m*t - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 4*o + 6. Let y be q(5). Differentiate y - 3 + 4*v - 4*v + 3*v**2 with respect to v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5851664 and 582.672.\nAnswer: 5852246.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 3*h - 1\/15*h**5 + 3\/8*h**4 + 1\/2*h**2 + 0 - 1\/3*h**3. Let f(d) be the first derivative of p(d). Factor f(i).\nAnswer: -(i - 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-5\/4)*j*j**9)\/(j*j**(-1)*j*j\/(j**(-1\/4)*j)))**(1\/83))**(-22) assuming j is positive.\nAnswer: j**(-165\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 197*l - 101*l - 96*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/1734147?\nAnswer: 4\/1734147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.3 and -0.246?\nAnswer: -0.8118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 > 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y*y\/(y\/(y**4\/y*y)))))*y*y**(5\/3)*y)**40\/((y**2\/((y\/y**(2\/29)*y)\/y))\/(y**0\/(y**0\/y))) assuming y is positive.\nAnswer: y**(-4646\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30588306 * -0.3.\nAnswer: 9176491.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40*(2 - (-5)\/(-4)). Let m = y + 7. Let k = 93 - m. What is the highest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 520.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 15 = 9*g, 0 = 2*n - 4*g - 1766. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000452442645 rounded to 5 decimal places?\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/3)*f)\/f**7)\/(f*f*f**(1\/4)*f)**2)**(-49) assuming f is positive.\nAnswer: f**(3871\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -1\/5 (c) -3\/22296542\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 - -167. Let q = t - 20. Is 17 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 2 + (2 + 2 - 6)*(-6 + 2 + 0))*(3*n - n + 4*n + (1 - 2 - 5)*(-n + 0*n - n)) in the form v + d*n and give d.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 1. What is i(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - u + 108 - 116 = 0, 4*u = -8*z - 32 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, o: 4, n: 3, t: 6, y: 1, x: 2}. Give prob of picking 1 l and 2 n.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 456103*r**5 - 2*r**4 - 298473*r.\nAnswer: 9122060*r**3 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:19 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1744 - -1766. Solve -5*y = o + m, -6*y = -2*y - 5*o + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 30*h - 23. Let r be j(27). Suppose 0 = -14*g + r + 26. Solve -10 = -l + g*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551.311 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**2*c**2 + 3*a**2*c*h - 2*a**2*h + 10*a*c**2 - 20*a*c*h - 2*c**2*h + 362*c**2 - 892 wrt c?\nAnswer: -12*a**2 + 20*a - 4*h + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let p(c) be the second derivative of c**5\/20 + 5*c**4\/6 - 5*c**3\/3 + 7*c**2 + 21*c. Let a be p(-11). Solve n*w + 1 = a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = -16*t - 1415 for t.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 897883997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 2:59 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-2)\/((-2)\/3)). Let c be m - (-5)\/(10\/4). Factor x**4 + 0*x**5 - x**4 + c*x**5 - 2*x**3.\nAnswer: 2*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204.9 - -205. What is the closest to i in -3, 4, 34, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -405*o + 9. Calculate z(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8019\/156 - (-8)\/(-52))*(-18784)\/(-11740)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*d**2*k**5 + d**2*k**3 - 6*d**2*k**2 - 54*d*k**2 - 220*k**3 - 22*k**2 wrt k?\nAnswer: 360*d**2*k**2 + 6*d**2 - 1320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 + 698 = 11*m. Calculate the remainder when m is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.026 - -30.974. Let z = -846 + 815. Let o = z + w. What is the nearest to -0.1 in o, 2\/19, 4\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -l**7\/42 + l**6\/12 + l**5\/3 - 5*l**4\/3 + 13*l**2. Factor d(i).\nAnswer: -5*i*(i - 2)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241 or 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2\/4 + 1281*k\/4 = 0.\nAnswer: -1281, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596 = 5*l - j, 6*l - l - 3*j = 588. Let m be (48\/40)\/((-3)\/(-10)*1). Suppose f + l = m*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -8, -80148 in decreasing order.\nAnswer: -1, -2, -8, -80148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 7*l + 7. Let k(q) = 2*q**2 + 30*q**2 - 34*q**2. What is k(o(u))?\nAnswer: -98*u**2 - 196*u - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 18*d**2 + 32*d + 395. List the prime factors of h(-18).\nAnswer: 5, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*i - 15*i**4 - 6*i + 2494 - 2494 wrt i.\nAnswer: -180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 4843.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 12. Suppose 8*m - n = -11*m. Which is the nearest to -2\/3? (a) m (b) 3 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + (17 - 20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*z + 239*z - 1340 = 0. Calculate the greatest common factor of z and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.486 + 0.086. Let i = s + 9.42. Let k = 0.02 - i. Does 1\/5 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9164.\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 20*d**2 + 4*d - 10. Let s = -50 + 42. Does 8 divide k(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 15)*(-3916)\/(-4984).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/250849 and -56\/5.\nAnswer: 1254245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -9347 at least -9349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (-3 + 3)\/2. Suppose b - 5*c + 35 = 6*b, -b = -d*c + 1. Put -7, -2, b in increasing order.\nAnswer: -7, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/(4\/42). Suppose 60 = w*z - 4*z. Suppose -11 = -k - 5. Calculate the lowest common multiple of k and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 0*b - 316560 = 6*g - b, 4*b = 0. What is the ten thousands digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z - 339. Calculate the remainder when 807 is divided by t(41).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -14. Let p be 0 + b + (-9 - -6). Suppose p*j - 2*j = -10. Solve 0 - j = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5517128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27462*m**3 - 27520*m**3 - 27471*m**3 + 82445*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-12)*1\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 43. Let h = 28.4 - -0.1. Let i = g - h. Round i to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 407\/78 + -70\/13. Suppose 3*b + b = -4. What is the nearest to -2 in -2, t, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 1 = -39*g + 43*g, g + 10 = -2*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + z - 2. Let w(l) = -l + 1. Let j(q) = w(q) - x(q). Suppose 2*p - p - 2 = 0. Determine j(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19939 and 40941?\nAnswer: 21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 greater than 1.5829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y + 2*c + 8, -5*c - 8 = -y. Suppose 2*g = v - 7, 0 = 4*g + y*v - 3 + 2. What are the prime factors of 10\/(-3)*3\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66216 is divided by 326?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6710 and 81679.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 418579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -231894530 divided by -39913\nAnswer: 5810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 78. Solve 0 = 2*m + 3 - z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -3617118?\nAnswer: -361711.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 + c**3 + c**3 + 2*c**3 - 8*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*p**2 - 3 + 4)*(-2 - 2 + 3).\nAnswer: -7*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19366337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 - 26595 = -21*m - 731. Calculate the lowest common multiple of m and 48.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67627 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 the third biggest value? (a) 1\/10 (b) 0.26 (c) -3\/10 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 8:25 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.336109 minutes to seconds.\nAnswer: 20.16654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(3 - 1 - 0). Let a = 1 + 1. Suppose -a*w - 3*f = -43, o*w + 3*f + 8 = w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4524668, 4524669, 4524670, 4524671, 4524672?\n\"Answer: h + 4524667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/20*(-184)\/(-69)*(-30)\/12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o - 50. Suppose -5*h - 5*a + 95 = 0, 33*a - 86 = -5*h + 31*a. Calculate g(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 921569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 52*n - 1. Let z(v) = 2*v. Give z(j(a)).\nAnswer: 104*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 3*v**2 + 6*v + 22. Let b be w(-3). Suppose b*x + 3*y = 15628, 48*x - 4*y = 49*x - 3907. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 95\/3*n**2 - 605 - 275\/3*n - 5\/3*n**3 = 0. Calculate n.\nAnswer: -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15409441.\nAnswer: 227, 67883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*v = 266, 3*t + 6*v = 3*v + 195. Let c(d) = t - 66 + d**2. Let a(r) = r**2. Let p(s) = -10*s**2. Let x(b) = -22*a(b) - 2*p(b). Calculate c(x(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 41.798 + -0.2489713\nAnswer: 41.5490287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 47288 times 64.9\nAnswer: 3068991.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bib when three letters picked without replacement from bbibbi?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 93\/(-33) + 1*60\/396.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799398 to the power of 1\/2, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 2*c**2 + 0*c**2 + 4*c**2 + 29*c.\nAnswer: 3*c**2 + 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 + 3*v + 2. Suppose 0 = 5*d - 9 - 11. Let c(y) = 6*y**2 - 4*y - 2. Let s(m) = m**2 + 2*m - 12. Let b be s(-5). Give b*c(u) + d*a(u).\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/5 - 5506*h\/5 - 5607793\/5 = 0. Calculate h.\nAnswer: -4157, -1349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j**2 + 2*j - 4. Let z(l) = l**2 - l. Let y(u) = n(u) + 5*z(u). Let i(r) = r**2 - 3*r - 4. Let k be i(3). What is y(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 176 = 4*o - 145, -5*o = -5*x + 285. Let m = 34926 + -279893\/8. Let k = x + m. What is the common denominator of 37\/5 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2760 and 376395?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j. Suppose 3*v + j*v - 615 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331)*1*-3.\nAnswer: -33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21562371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 14)*(-6)\/(-15). Suppose -2*b = -3*w - 8, 5*b + 2*w - 21 = -1. Find the third derivative of -4*m**n + 2*m**4 + m**2 - m**4 + b*m**4 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*q - 9. Suppose -a + 27 = q*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 796, 752, 702, 646, 584?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -13*s + 4. Let u(f) = 51*f - 17. What is -9*o(v) - 2*u(v)?\nAnswer: 15*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2391618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20011011022 + -2?\nAnswer: -20011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-84)\/8)\/((-3)\/8). Suppose -4*q + 2*c + 39 = -c, 5*q - 50 = 4*c. Let r be q\/9 - (-124)\/3. Calculate the highest common factor of r and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - 10) + 8 - -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 5*a - 5*a)*(0*a + a + a)*(-1 + 3 - 5)*(-a - a - a).\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -183\/4 (b) -5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 977 - 977 - 45*o**3)*(6*o - 2*o - 2*o).\nAnswer: -90*o**4 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241*z - 330*z + 1956*z - 184*z + 12*z.\nAnswer: 1213*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5\/v)\/v**(1\/18))**(-12\/7) assuming v is positive.\nAnswer: v**(-142\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*((-6)\/3)\/(-1). Let y = 14 - d. Suppose -5*o + 210 = -2*o. What is the remainder when o is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4886176 and 10?\nAnswer: 24430880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 3:08 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3 = 15*o - 18*o, 91 + 45 = 48*o - 4*u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3423\/660*2\/(-19). Let i = -13\/95 - c. Calculate the common denominator of -95\/22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8072156?\nAnswer: 2, 47, 42937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 + 2237*g + 5004169\/2.\nAnswer: (g + 2237)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 47*v**3\/9 - 1220*v**2\/9 + 7891*v\/9 + 338\/9 = 0. Calculate v.\nAnswer: -2\/47, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 7*a - 16. Let i(f) = -2*f**2 + 14*f + 31. Let g(l) = -6*i(l) - 11*k(l). Let s = -8093 - -8102. Determine g(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-1*sqrt(1872))\/(5*sqrt(4)*-4) + -3))**2.\nAnswer: -36*sqrt(13)\/5 + 1017\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20691 and 4.852972.\nAnswer: -20686.147028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 2*l**2 - 2*l + 3. Let v = -7 - 0. Let n = 0 - v. Let p be (-4)\/n*14\/(-4). What is g(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u - 98. Let q be c(-30). What is the common denominator of 50\/9 and q*(5 + 58\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 178647000 to the nearest one hundred thousand.\nAnswer: 178600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.24 (c) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**3 - 8*t**2 - 11*t + 17. Let b(h) = 7*h - 1063*h**2 + 2127*h**2 - 11 - 1059*h**2 - 4*h**3. What is 8*b(q) + 5*m(q)?\nAnswer: -2*q**3 + q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5497 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: What is 3002 (base 11) in base 16?\nAnswer: f9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1. Suppose 2*k = 6, -3*k = 2*h - 6*k + 7. Let c(s) = 12*s + 10*s + 13*s + 4 - 37*s. Give h*c(b) + 5*y(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/9*9\/(-45)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1\/5 (c) 2.5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 46?\nAnswer: 39\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 10*m**2 - 8*m + 5. Let x be u(-9). Let c(k) = k - 5 - 2 + 13 - 2. Let g(n) = 2*n + 7. Determine x*g(f) + 7*c(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 8*q - 5. Let l be s(-7). Suppose -2*m - l*z + 5 + 65 = 0, 2*m - 2*z = 50. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**2*z**2 - 2*u**2*z - 128*u**2 - 8*u*z**2 + 86*z**2 wrt u.\nAnswer: -6*z**2 - 4*z - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275277639 at most 275277639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/(b\/b**(-1\/8)))\/(b**2\/b**(2\/5))*(b**9\/(b*b**(1\/8)))**(-4\/7) assuming b is positive.\nAnswer: b**(-49\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6.581 times 33\nAnswer: 217.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8528\/78*(-27)\/(-72).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + -8)\/(0 - -1) - -3. Let n be o\/(-6)*9\/(-6). Let r be (1 - 0 - 1)\/(-2). What is the second smallest value in n, 0.5, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 7*d**2 + 8*d + 2. Let z = -19 + 11. Let u be r(z). Factor -x**4 + 5*x**3 - u*x**2 - 3*x**4 + x**2.\nAnswer: -x**2*(x - 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7212, 7132, 7048, 6954, 6844, 6712?\n\"Answer: -j**3 + 4*j**2 - 85*j + 7294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Let b = 0 + c. Sort b, -1\/10, 0.3 in ascending order.\nAnswer: -1\/10, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (11 + -7)\/(3*(-3)\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7981 - 4980 = 0. Let p = w + 129719\/10. Calculate the common denominator of 25\/12 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/39 - 1\/(-1 - 0).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lf when two letters picked without replacement from {l: 1, f: 2, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (2 + (-7854)\/7850). Let j = -266918\/35325 + v. What is the common denominator of j and ((-2)\/32)\/((-13)\/2522)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 6*g - 11. Let m be x(-8). Suppose 2*y = -4*j + 62, 3*j - 14 = 4*y + m. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 - 7*t**2 - t**2. Let o(y) = -y. Give o(k(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-13) - (17 + (-539847)\/117).\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.63 - -4.85. Which is the nearest to i? (a) 3 (b) -2\/7 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 - -4796?\nAnswer: 4794.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 6)\/(4\/72). Let d = 1205 + -1022. Let j = w + d. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 1 + 1 + (-2 + 2 - 2*m)*(0 - 3 + 7))*(-2*m + 2*m - m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 74 + -73.7. Let z = -0.1 - -0.1. Which is the closest to z? (a) -2 (b) d (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 125. Suppose 0 = -10*f + z - 5. What is the third derivative of -102*d**4 + 202*d**4 + 37*d**2 - 94*d**f wrt d?\nAnswer: 144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2 + 7. Suppose 36 = 4*p - 3*v + 14, -2*v = p. Suppose -4*k = -2*n - 3*k - 3, -p*k = n + 24. Let y(t) = -3*t**2 + 4. Calculate n*j(b) + 7*y(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/18*-30*1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1863 + -14935\/8. Calculate the common denominator of (1 + -3 - -4) + (18 - (-52962)\/(-2436)) and m.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -3)**2 + -2.\nAnswer: -24*sqrt(3) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243219067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10*m - 137. Let x be o(19). Solve 56*n - x*n + 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - 37) + (-20)\/(-28)*-8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 234 (base 12) to base 9\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let n(l) be the first derivative of 15*l**2\/2 - 12*l - 2. Determine 12*c(k) - n(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4736 or 6018?\nAnswer: 4736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 35*s + 279. Let i(a) = -29*a - 278. Let f(q) = 3*c(q) + 2*i(q). Give f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -0.0077\nAnswer: -2.9923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {y: 6, i: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4951 + -3504. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1695*h + 1578*h + 936 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 7*x**3\/6 - 3*x**2 + x. Suppose 311 = 4*f - 237. Let q(i) = -123 + 247 + 15*i - f. What is 13*k(n) - 6*q(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 428005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330549 and 30?\nAnswer: 3305490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -3*w**6\/70 + 11*w**5\/140 + 17*w**4\/42 - 22*w**3\/21 + 4*w**2\/7 - 13*w. Find f, given that d(f) = 0.\nAnswer: -2, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13876 + 13893. Suppose 0*t = -5*t + 60. What is the remainder when q is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23658462 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -453 (base 6) to base 14\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (408\/85)\/(3\/(-105)). What is the remainder when (-1)\/7 + (-10944)\/b is divided by 27\/(3 - 0) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 13624?\nAnswer: 3\/13624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22915 + 11465 + 5386*l + 11450 to z + j*l and give j.\nAnswer: 5386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 16*r**2 - 32 + 26 + 13 - 267*r**2.\nAnswer: -251*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 50\/3 (b) -1\/3 (c) 2\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*2)\/sqrt(11) + 2*sqrt(7)*2 + sqrt(35)\/(sqrt(20) - sqrt(5)).\nAnswer: 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Let w(n) = -106*n - 6. Let f(t) = t + 1. Let j(p) = -5*f(p) - w(p). Is j(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306, 1331, 3046, 5445, 8522?\nAnswer: 12271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -239190 + 239189.8800018. Let m = 9 - 9.12. Let w = m - j. What is w rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-54))\/(12\/(-21)*7\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/3 - 1342*v**4\/9 + 448*v**3\/9 = 0 for v.\nAnswer: -224, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1296*k + 43. Let h(v) = -259*v - 8. What is -11*h(d) - 2*w(d)?\nAnswer: 257*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 531 times 3542\nAnswer: 1880802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1555378\/25 at most 62215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59993 is divided by 2003.\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 6*f + 0*f + 248 + 139*f - 248 + (1 - 1 + 3)*(0 - 2*f + 0) + 4 - 2*f - 4.\nAnswer: 133*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-3)*a\/a**5)\/((a**0\/a)\/a**(-2\/5)))\/(a**(-2\/9)\/a*a**(1\/2)*a**(-1\/2)\/(a*a**0*a)) assuming a is positive.\nAnswer: a**(172\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -19*a + 9. Let u(r) = -5*r + 2. Determine 2*h(k) - 9*u(k).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 8*x**2 + x - 2. Let j be n(-8). Let p = 16 + j. 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: Let l = 834 - 775.8. Let w = l + -57.2. Which is greater: -86 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73501\/17883 - 2\/1987. Let u be -2*2\/(-16) - (-3339)\/(-13260). Let w = u + -2740\/221. Calculate the common denominator of w and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 7*r**2 - 4*r + 14. Let y be v(-6). Suppose -t + 6*t = -3*l - 12, -3*l = -5*t + 12. Solve -y*q + 0*q = t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = -47 - 25 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 16*s - 18. What is the units digit of x(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -94*z**3 - z**2 - 55*z - 115. Determine q(-2).\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2216 - 759 - 913 = 144*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -245 + 242. Let r be (-8)\/(-180)*(8 - t - 1). Suppose 4\/9*s**2 + 2\/9*s**3 - r - 2\/9*s = 0. Calculate s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -9. Suppose -3*a + 88 = -n + 18, 3*a - 54 = -v*n. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k - 6 - 14 + 8 as g + w*k and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -138729286*a**2 - 175647717 wrt a?\nAnswer: -277458572*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 1 d when three letters picked without replacement from dqfymjmf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 6805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -522 + 733. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*(-12)\/4 - -3) + -23. Let h(n) = -n**3 - 23*n**2 + n + 37. Let r be h(y). What is the highest common factor of r and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f + 1. Let v be w(1). Suppose 32 - 12 = v*y. Which is the third biggest value? (a) y (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 78. Calculate o(10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2776 + 2761. Let t be (4\/6)\/(4\/(-93)). Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61343 + -3557985\/58. Find the common denominator of g and 75\/14.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 2. Let i be n(-3). Suppose 3*j + k = i, 10 = 3*j - 5*k + k. Calculate the least common multiple of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y - 2*b = 4, 2*y + 10 = -5*b. Let q(j) = y*j + 0*j + j - 8. What is q(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**5\/20 + n**4\/2 + 2*n**3\/3 - 2*n**2 - n. Let a(f) = 89*f - 182. Let v be a(2). Calculate c(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29982?\nAnswer: 2, 3, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*j - 59 = 0, -o - 2*o = 5*j - 14. Let q be (-19448)\/204*3\/(-2). Calculate the greatest common divisor of o and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*o - 6. Suppose -o - 16 = -4*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122*4.05\nAnswer: -494.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 924 a factor of 67568424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l + 11. Let o(m) = 4*m - 16. Let x(r) = 7*n(r) + 5*o(r). What is x(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 67*w**2 - 55*w + 814. Determine d(34).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 2233321030?\nAnswer: 2233321021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282*v**6 - 12*v**2 + 4?\nAnswer: 33840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z, 4*d = 5*d + 4*z - 3. Let s be -1 + (-2 - d)*-3. Solve q - 4*g = -4, -3*q - 4*g = -s*g - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 20*x - 3 - 11*x - 5*x - 6*x. Determine o(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261 + 370. Let u = a + -133. Let l(t) = 33*t**2 + 36. Let o(h) = 165*h**2 + 180. Let d(n) = u*l(n) + 5*o(n). Differentiate d(k) wrt k.\nAnswer: 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18850 divided by -50\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390104149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Let j be 11\/(33\/15) - (-2 + -8). Suppose -7*s = -3*s + 3*z - 12, 3*z = q*s - j. Solve -n - s*l = -5*n + 31, 4*n + 4*l = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 4*j**2 - 3*j + 7. Let q be z(-5). Let u be 1\/(-4) + q\/36. Which is bigger: 8 or u?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*31*(-7)\/(-4). Let f = -61 + 67. Let l be 4 + f*45\/10. Calculate the greatest common factor of l and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1 - (15 + -18). Let x be 159\/(-21) + 4 + t. Let m = -6 + 6. What is the closest to m in 0.3, x, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 212272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 32 = -4*f. What is the smallest common multiple of 4\/14 - (0 + 328\/(-28)) and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0 = -2*z + 6, -3*z + 17 = -5*c. Let o be c\/(-4)*(-2)\/1. Put o, -4, -9 in descending order.\nAnswer: o, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t - 4. Let o = 348 - 385. List the prime factors of h(o).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496903 to the power of 1\/2, to the nearest integer?\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**1*t)\/t)**(7\/8)\/(t**(1\/2))**(-32))\/(t**(2\/9)*t\/((t\/(t\/(((t*t**(2\/5)*t)\/t)\/t)))\/t)*(t*t\/t**(-2\/3))**(-2\/9)) assuming t is positive.\nAnswer: t**(8921\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*b**3*t**2 - 7*b**3*t - 36*b**3 + 17*b**2*t**3 + 2*b**2 - 12*b*t - 108*t**3 - 1 wrt t.\nAnswer: -72*b**3 + 102*b**2*t - 648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86 - 3*z**4 - 99 - 8*z**4 wrt z?\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/3? (a) 3 (b) -4\/7 (c) -17.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471232280.\nAnswer: 2, 5, 11, 5616437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -36587*i - 151. Let w be c(27). What is w rounded to the nearest ten thousand?\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9435777 micrometers to meters.\nAnswer: 0.0000009435777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(1 + (sqrt(68)\/sqrt(4))**2 + (((sqrt(119) - sqrt(119)*-3) + sqrt(119))\/sqrt(7))**2) + -1.\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0332615 litres to millilitres.\nAnswer: 33.2615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*w - 95, -2*w = -5*w + 4*k + 80. Suppose 37*a - w = 35*a. Calculate the remainder when 58 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a - 13. Let y be j(-3). Suppose 6*c - y*c = 5. What is the third derivative of -80*u**c + 97*u**5 + 4*u**2 + 6*u**2 wrt u?\nAnswer: 1020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37756 + 76216. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-14)\/63 - 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 222*y + 34*y - 248*y.\nAnswer: 8*y - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -700 by 100.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 + 12*a**3 - 111*a**2 - 696*a - 1008 = 0. What is a?\nAnswer: -4, -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 72085\/(-28834)*(-6)\/(-7)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 16*s**2 + 16*s - 5. Let w be d(15). Suppose 6*m = m + w. Is 26 a factor of 79\/((-1)\/m*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 12 + 8. Let f = h - -14. Solve 0 = -f*l + j + 2, 3*j + 8 - 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from dknd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1551 and 34317567?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -16063\/21 smaller than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.141? (a) 0.3 (b) 0.1 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a factor of 274987325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o - 54*o + 5323 = 41*o - 3047 for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/139 at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -17*s**2 + 2*s + 12198. Let y(u) = 20*u**2. What is q(y(j))?\nAnswer: -6800*j**4 + 40*j**2 + 12198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 4\/7 (b) -1\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 43. Put u, -1\/28, -0.5 in descending order.\nAnswer: u, -1\/28, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 824, 1660, 2486, 3296, 4084, 4844?\nAnswer: 5570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:26 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 2 (c) -0.142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*j - 10901, -1744 = -j - u + 3706. Is 29 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-3)*0\/(-1). Let w(k) = a*k**2 + 2 - k**2 + 7*k**3 + k - 4 + 1. What is the remainder when 9 is divided by w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -42*h - 205. What is t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608496 is divided by 304208?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -395 (b) -47 (c) 2 (d) 1\/8 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25147 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i + 1. Let s(f) be the second derivative of -f**2\/2 - 241*f + 4. Give h(r) + 6*s(r).\nAnswer: 7*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 8*m**2 - 2*m - 10. Let s(z) = -z - 2. Let b be s(6). Let l be n(b). Suppose 3*r = l*r + 159. Round r to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (160\/(-15) - -11)*12. Put s, 0, 1, 8 in decreasing order.\nAnswer: 8, s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12 and ((-3)\/2)\/((-90)\/237).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 + 183. Let u(s) = -s**3 + 7*s**2 - 2*s + 2. Let a be u(p). Sort 0, -5, 2, a in ascending order.\nAnswer: -5, 0, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - (-1 + 0) - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 2*s**3\/3 + 299*s. Let i(z) = -12*z**2. What is i(c(l))?\nAnswer: -192*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40714 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 443*h**5 + 53*h**4*j - 11*h**2*j + h**2 - h*j - 449 wrt h?\nAnswer: 26580*h**2 + 1272*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 11 + -14 + 14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001971979 to seven decimal places.\nAnswer: -0.0000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - b + 17932 = 0, p + 4*b + 675 = 6656. Do p and 5977 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42740 by -4274.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -21, -36, -51, -66?\n\"Answer: -15*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-13\/2)\/(o\/(o\/o**(-10)*o)))**(-3))**(-1\/41) assuming o is positive.\nAnswer: o**(27\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 1. Let j be u(-5). Suppose 168 = -17*f + 19*f + x, 4*f + 3*x - 328 = 0. What is the greatest common factor of j and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*c = 3*c - 5, -5*c - 11 = 4*f. Let h(a) = a**3 - 2*a**2 + a. Let t be h(f). Suppose -v + 5 = 0, -2*p + t*v + 1074 = 4*v. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947304 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -172131.0044 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 117913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236468100 rounded to the nearest 100000?\nAnswer: 236500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**3\/3 + w**2 + 149*w - 1. What is k(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 4*q - 5. Let c be -13 - (3 + 4 + (-78)\/6). Calculate j(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 4 - (-4 - -4 - 4). Let v(u) = u + u - 3 + 3. Give v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58177224)\/476550 + (-4)\/(-50)?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/7 + 12696*g\/7 - 10872.\nAnswer: -2*(g - 6342)*(g - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r**2 - r**3 - 32*r**2 - 4*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 1)\/8 - (-66330)\/2680. Solve -l - 3*b = b - t, -5 = -b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/19, 1, 5, -1, -2\/7 in increasing order.\nAnswer: -1, -2\/7, 3\/19, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (235 + 462*l**2 - 235)*(4*l - 3*l + 0*l)*(0 - l + 0).\nAnswer: -462*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-21))\/((-3)\/7)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44412.\nAnswer: 2, 3, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oobbwbhhhh. What is prob of picking 1 b and 3 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + v**2 + 2*v**2)*(-3 + 2 + 5)*(v**2 - 3*v + 14*v + 18 - 8).\nAnswer: 8*v**4 + 88*v**3 + 80*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -19*i + 6. Let a(t) = 72*t**2. Determine a(q(c)).\nAnswer: 25992*c**2 - 16416*c + 2592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhohhqohhhq. What is prob of sequence qo?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 + 1347*b**2 + 938637*b\/2 + 35189370.\nAnswer: -3*(b - 1180)*(b + 141)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-301))\/(-5)*(-324)\/(-216)\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10590165 + 12693.5924?\nAnswer: 10602858.5924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*sqrt(208)*-2.\nAnswer: -2 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-108)\/81)\/((-4)\/66). Solve c - 26 + f = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(726)*1)\/(sqrt(243) + sqrt(243) + (sqrt(243) - -2*sqrt(243)) + sqrt(108)*1) + -3.\nAnswer: -3 - 22*sqrt(2)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 84\/63 + 4\/6. Find the second derivative of 5*i**z + 2*i - 9*i + 5*i + 3*i wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.312, 1\/7, 2, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + 26465?\nAnswer: 26422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -34*p + 1336. Solve 5*f - p = 5*r, -6*r + 4*r - 10 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/3)\/(s\/s**(-1\/16)) assuming s is positive.\nAnswer: s**(-83\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 0.5. Which is the smallest value? (a) 14\/3 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -2, -0.2, -0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39 or -42684\/1091?\nAnswer: -42684\/1091","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499 is divided by (-2*1)\/(12 - 14)*(51 + -4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -26 and -30.691.\nAnswer: -56.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*g**2 - 1069*g + 31*g**2 - 93*g**2 + 33*g**2.\nAnswer: 13*g**2 - 1069*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 43606*g**3 - 25*g**2 - 43625*g**3 - 361 + 25*g**2 in the form w*g**3 + l*g + p + d*g**2 and give p.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(-294) - (-1 + (-17)\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(8*u + 19 - 19)*(-5 + 1 + 5).\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 2. Let a = 663 - 653. Calculate the remainder when a is divided by l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3419185, -6838321, -10257457?\n\"Answer: -3419136*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5956*x - 17695.\nAnswer: -5956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from qqrssqqksqkrqqqrq.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34139 is divided by 11374.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1619 - -2456. What are the prime factors of t?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 146*q - 66 = 38 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((70\/(-56))\/((-6)\/(-16))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 7210500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18992780491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r - 13. Let i be u(-9). Let t = -614\/5 + i. Which is the closest to 7? (a) t (b) -0.3 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8483*p**2 + 29*p + 29. Is w(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r**3 + 26*r**2 + 3*r - 2. Give s(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lliliiliii. Give prob of picking 2 i and 2 l.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1068)\/30 + (-3)\/(-5). Let j = g - -49. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05797 - -0.059. What is h rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1503688, 1503385, 1502880, 1502173?\n\"Answer: -101*r**2 + 1503789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 26. Let t be q(-14). Let v(y) be the first derivative of y - 1\/3*y**3 - 1 - t*y**2. What is v(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84976 divided by 2.\nAnswer: 42488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/18 and 37\/58?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/158 and -99\/62.\nAnswer: 4898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/9*(-2 + 88\/20). Let v be 89*3\/24 - (-1)\/b. Suppose v*t - 8*t = 12. Solve -x + 4*o = t, -2*o + 4*o = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - z + 1. Suppose 4*w - 170 = -0*w - 2*a, 86 = 2*w + 2*a. Suppose r - 44 + w = 0. Let f(d) = 5*d**2 + 2*d - 2. Give r*p(v) + f(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 + 4 = 0. What is the smallest common multiple of k and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from nvnvwqvpqn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -282368 - -146.939585.\nAnswer: -282221.060415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6283185 and 1.\nAnswer: -6283185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1, 26, 5.\nAnswer: -1, 0, 2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -2. Suppose -l*t - 48 = -6*t. What is the highest common factor of 80 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -898, -897, -896?\n\"Answer: l - 899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8885?\nAnswer: 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/113 (b) 94 (c) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**2 - 3596*i + 25368 = 0. Calculate i.\nAnswer: -906, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-60))\/((-1)\/(-725)). What is the hundreds digit of (f\/4)\/(11\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 14\/11, -3 in decreasing order.\nAnswer: 14\/11, -0.03, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11784 + 164889\/14. What is the common denominator of -73\/126 and s?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p - 60. Suppose -p*j = -13*j + 9. Suppose 0 = 2*u - j + 1. What is the remainder when 5 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 16766 = 21*y - m, -2*y = -2*m - 33544. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 22*v**2 + 20*v + 45. Calculate the smallest common multiple of h(21) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1792*q - 53780. Determine k(30).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppuu when four letters picked without replacement from {g: 4, p: 3, x: 1, u: 5, v: 1}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*g*o*q*s**3 + 2*g*o - 7296*g*q*s + 3*g + 43657*o*s**3 + 20*q wrt s?\nAnswer: 138*g*o*q*s + 261942*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 17 + 18 - 2*i.\nAnswer: -3*i + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66863, 133578, 200293, 267008, 333723?\nAnswer: 400438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/11? (a) -10 (b) -3 (c) -17597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 7*m**2 - 8*m - 9. Let r be o(-6). Let k = 3427077111523\/5140 - 666746523. Let t = 2\/1285 - k. Is r > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5318*k - 15999. Calculate o(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**2 + 2318352*r + 2318348 = 0 for r.\nAnswer: -579587, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 16*q - 2 - 8*q + 9*q. Let u be o(3). Suppose 4*y = 3*y + u. What is the greatest common factor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*m**2 - 908*m + 456.\nAnswer: -4*(m + 114)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 303.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bttuutbbubbtbbbut. Give prob of sequence uttt.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 23*y**2 + 14*y + 42. What is k(22)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/15 and 50\/6507?\nAnswer: 32535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45522 + -219097388\/4813. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 568557265 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*s**2 - 3*s + 11*s - 41*s**2 + 2 - s - 123*s**3 in the form x*s**2 + m*s**3 + g*s + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 1, f: 1, z: 1, x: 2, t: 1}. Give prob of picking 1 u and 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(24)\/(sqrt(8) + sqrt(48)\/sqrt(6)) + sqrt(3))**2*4 - (-2*(2 + sqrt(108)))**2) + -2.\nAnswer: -375 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 4673 and 2988 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/28 + 7)*-2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2102 and 0.3?\nAnswer: 0.06306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -412, -832, -1252?\n\"Answer: -420*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 36*i + 30. Let r(w) = w + 1. Suppose 0 = 5*y + 2*d + 1, 10 = 82*d - 77*d. What is y*a(z) + 30*r(z)?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 = -12. Let y be (-4)\/1*((-6)\/o + 1). What is the highest common divisor of 180 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -273\/5 - -55. Which is the closest to 2? (a) f (b) 4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100.2*-3797\nAnswer: 380459.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/2 (b) 1\/2 (c) -2 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3004316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6746761781?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*s**3 + 298*s**3 - 94*s**3 + 288*s**3.\nAnswer: 622*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 0*t**5 + t**4 + 0*t**3 + 0*t**2 + 20*t - 1\/30*t**6 + 0. What is the third derivative of l(w) wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40759441 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/16 of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -152ab13 (base 12) to base 14\nAnswer: -7d983d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, -10, 3, -3 in ascending order.\nAnswer: -10, -3, 2\/5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870224.6 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 171568.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 17*h + 76. Let d be g(-11). Solve 0*k - 5*f - 26 = k, -2*f = d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 = 5*q, 2*q + 0 - 6 = 3*w. Let a(h) be the second derivative of q*h**2 - 2*h + 0 + 0*h**3 - 1\/6*h**4. Let f(m) = -4*m. What is a(f(u))?\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4453827 and 8277.\nAnswer: 138068637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**5\/40 - 3*b**4\/16 - b**3 - 16*b**2 + 6*b + 2. Let y(p) be the first derivative of l(p). Factor y(s).\nAnswer: 3*(s - 4)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -1\/4*d**4 - 5\/6*d**2 - 7\/9*d**3 - 1 - 1\/3*d. Let x(m) = 0. What is m?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-27)\/(-6))*(-72)\/(-16). Suppose -h*g = -98 + 2. Suppose 29*o + 132 = g*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251328 by 1.\nAnswer: 251328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-288)\/(-42))\/2)\/((-4)\/14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 2. Let o be v(0). What is the first derivative of -8*x + 8*x - 1 - 2*x**o wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1230 and 81\/4100.\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 35 = -2*x. Let w = x - 5. What is the common denominator of -44\/7 and (11 + 0)*(-7)\/w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -34. Put -2, -5, f in ascending order.\nAnswer: -5, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2067, 777, -1361, -4341, -8157?\nAnswer: -12803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*r + 261, 0*p - 4*p - 3*r = -327. Let m = 185 + -103. Let g = p - m. Solve -t = 0, 5*n + g = 4*t - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = p - 241, 2*p = -4*y + 6*y + 442. What is the greatest common factor of 16 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13104557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from aqiaiaaaiyaai?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 14 + -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102.7 - 123. Round p to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -1\/2, -8, -16.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 11:31 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 11:46 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -x + 5*a, 3*a - 8 = x - 50. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -145751814, -291503627, -437255440, -583007253?\n\"Answer: -145751813*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (122 + 36 - 99)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + y**2 - 2*y**2)*(44*y + 3 - 15 + 10).\nAnswer: 88*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**3 + 0*i**3 - 3*i**2 + 23*i**2 - 11*i**2 = 0.\nAnswer: -9\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.2 - -9. Which is the closest to -1? (a) 2\/7 (b) n (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27\/571 - -16775\/330609. Let q = 392\/1737 - o. Factor 2\/9*v**3 + 0 + q*v + 4\/9*v**2.\nAnswer: 2*v*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + 87 - 34 - 53 - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**9\/3024 - k**5\/24 + 7*k**3\/3 - 10. Let o(i) be the third derivative of m(i). Find the second derivative of o(u) wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2 - 326*a + 2614. Determine p(-89).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l - 3. Suppose -l*g = -n - 3*g + 4, g = -2. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157153267 minus 236498?\nAnswer: 156916769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*q - 93, -3*s + 8*s = 3*q + 31. Let y(b) = b**3 + 13*b**2 - 67*b + 22. Calculate y(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -10*m + 24. Let s(k) = -k**3 - 7*k**2 + 12*k + 34. Let f be s(-8). Differentiate -f + r + m*r - 6*r with respect to r.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 228 = 19*n. Let c be n\/(-8)*17 - 21\/(-28). Round c to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 60. What is the remainder when 57 is divided by 11\/(d\/(-60))*-1?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10*k**(1\/21)*(k**(-12\/11)\/k)\/k*k*k**(-5))**(-4\/27) assuming k is positive.\nAnswer: k**(-2732\/6237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 + 0*q**4 + 5*q**4)*(6 - 2 - 2) - 25 + 25 + 6*q**4.\nAnswer: 12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 5*i**2 + 3*i - 7. Let j(x) = x**3 - 18*x**2 + 17*x + 41. Calculate the remainder when j(17) is divided by b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4)\/s)**2\/(s**(2\/3)*s\/s**(-4\/7)))\/((s**(-4\/11)*s)\/(s**(6\/7)\/s)*s*s**(1\/5)\/s*s**5) assuming s is positive.\nAnswer: s**(-24757\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 146 from -1507449.\nAnswer: -1507595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -487 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166 - 154. Suppose a = -s + 16. Solve 20 = -s*b - b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {p: 1, h: 2, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 a when three letters picked without replacement from jjajajja?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3804.50749 rounded to one decimal place?\nAnswer: 3804.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3497188?\nAnswer: 2, 107, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhaappafaplaahlpa. Give prob of picking 1 p, 1 l, and 1 h.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4)\/t)\/(t\/(t**(5\/4)\/t))*(t*t**3)\/t**(2\/23))**(-9\/4) assuming t is positive.\nAnswer: t**(1521\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q - 753 = 862 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-3 - 2) - -5) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.6. Let n = 167.8 + -168. Let z be ((-2)\/5)\/((-3)\/5). Which is the smallest value? (a) n (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.4335305 rounded to two decimal places?\nAnswer: 92.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -43*p**3\/6 - 39*p**2\/2 - 13*p - 35. Let x(y) be the first derivative of b(y). Find the first derivative of x(u) wrt u.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**4 + 104*c**3 - 521 wrt c.\nAnswer: -16*c**3 + 312*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.56 to 1 dp.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 - 96*t**2 + 20 + 0*t + 98*t**2 + t to s + y*t**2 + r*t**3 + i*t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 - 3*q**5 + 5*q**5 + (2*q - 5 + 7 + 19)*(2*q**4 + 7*q**4 - 5*q**4).\nAnswer: 10*q**5 + 84*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588425 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c - 48993821*c**2 - 34*c + 48993819*c**2.\nAnswer: -2*c**2 - 82*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/50*(-5 + 0). Let w = 5 + -5.22. Let u = 0.08 - w. Which is the smallest value? (a) u (b) g (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -49*p**3 + p**2 + 2*p + 1. Let f(u) = -u + 3. Let g be f(4). Let d be h(g). Let y = 18 - 11. What is the highest common factor of y and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2.98. Let m = d + -0.22. What is the closest to -1 in 3\/5, 0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6495 and 9.\nAnswer: 19485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-5) + 702\/135 + 1. Let v(g) = g**3 + 3*g**2 + 6*g. Let j(y) = -2*y**3 - 8*y**2 - 17*y. Calculate h*j(l) + 17*v(l).\nAnswer: 5*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o. Suppose 3*r = 4*q - 4, -2*q = -0*q - 2*r. Suppose k - 13 = -q*s - 0*k, -3*s - 3*k = -3. Let v(a) = a + 5*a + a - s*a. Calculate v(y(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1188738 and -70\/111.\nAnswer: 43983306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135120 and 1410?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(21\/(-36) - 3\/(-12)). Let p be 2*(-3)\/(-2) - q. Suppose -p*l + 327 = -113. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 4811295 + 4811295.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 divided by -19486?\nAnswer: 1010\/9743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -11*f**5\/10 - f**3\/3 - 3*f**2\/2 + 11*f. Let w be p(-2). Let u = w + -111. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212239*n**3 + 3*n**2 + 3*n - 290?\nAnswer: -1273434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*y = y + 26, -18 = -u - 4*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -544 and -2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1292*k - 245*k - 255*k - 535*k - 249*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3614?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*b = 575*b - 440 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 2\/7 (b) -0.2 (c) 2\/11 (d) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 24 = -3*w, 14 = 5*l - 5*w + 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*n = 0, -23 - 6 = 5*l - 4*n. Let g be (2\/l)\/((-14)\/3220). Is 91 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11838020 - 4676583 = 17*h. Suppose 3*g - 2*d = -356215, 2*g + d = -2*d - 237481. Let y = g - h. What is y rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -116.9 + 5.9. Let x = -110.9999685 - s. What is x rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4459215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 657911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-10))\/((-6409)\/6032)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - -2 - (-15)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256 by -1.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 228386.\nAnswer: -228386.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 u when three letters picked without replacement from vpukkulg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woooeewewoowo. What is prob of sequence wow?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79474 by 2.\nAnswer: 39737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*q**3 + 2*q**3 - 10*q**4 - 40 + 7*q**3 - 12*q**3 wrt q.\nAnswer: -40*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x + 751. What is q(-48)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2314112 (base 5) to base 11.\nAnswer: 29434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 - (-8 - -8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 9) to base 11\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(26\/8) - (0 - 4). Solve 4*z - 7*z + 6 = r, 4*h - 5*z = -18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*w**3 - 4 + 21*w**3 - 28*w**3 to p*w + y*w**3 + c*w**2 + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - 77.3. Let k = w - -7. Sort 0, k, -2 in ascending order.\nAnswer: -2, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 47040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s = -5*s + 671 - 264 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2407580 divided by -58.\nAnswer: 41510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8439 is divided by 2794.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 766 times 0.201\nAnswer: 153.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/((g*g*g**(-4)*g)\/g)*g**17\/g*g assuming g is positive.\nAnswer: g**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28138873 divided by -461293\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**5 - o**4 + o**2 - 1. Let t(x) = -30*x**5 + 5*x**4 - 20*x**3 - 15*x**2 + 25*x + 35. Let w(d) = t(d) + 25*u(d). Factor w(c).\nAnswer: -5*(c - 1)*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 4*n**2 + 5*n - 3. Suppose -4*p - p = -5, -4*p = -5*m + 6. Let k(i) = 9 + 3*i**2 + 10*i - 3 - 4*i**m + 0*i**2. Let b be k(11). What is z(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11916 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 14 = 220*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150438, -150436, -150432, -150426, -150418, -150408, -150396?\nAnswer: -150382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.895833 rounded to zero decimal places?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 4*x + 66 = 0, 665*s - 668*s + 2*x = 28 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**4 + q**3 - 19*q**2 - 37*q - 18. Let m(y) = 6*y**4 + y**3 - 13*y**2 - 25*y - 12. Let f = 24 - 16. Let k(u) = f*m(u) - 5*s(u). Factor k(a).\nAnswer: 3*(a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.113616?\nAnswer: 0.113616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-2\/35))\/d)\/(d\/d**(-17)))**(7\/6))**38 assuming d is positive.\nAnswer: d**(-12008\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((12\/(-4))\/(-117)*-1). Suppose 12*n + o = 4491. What are the prime factors of n?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 plus -0.019?\nAnswer: 4.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1957463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2107 times -3?\nAnswer: 6321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(30\/185) + 8\/12 - -1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 5*m**2 + 4*m - 15. Let x be f(-5). Is (-4)\/7 + ((-102115)\/x - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3 - 9. Suppose x*o = 23 - 15. Suppose 0 = b, 6*g = 3*g - o*b + 429. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-24)*(-2)\/(-80). Let z = -81 - -91. Suppose 0 = -4*f - g - 3 - 2, -z = -4*f + 2*g. Which is bigger: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2089\/629166 + 8592681023\/3330804804. Let f = -2\/7941 - w. What is the common denominator of -95*((-119)\/(-126) + -1) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 12521, -276, 0.1, -4, 1.5.\nAnswer: -276, -4, 0.1, 1.5, 12521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(3 + sqrt(363) - sqrt(363)) + -5*(sqrt(363) - (-1 + sqrt(363))))*-6*6)**2.\nAnswer: 254016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 12. Let o(f) = 3*f + 23. Let m(u) = 39*u - 1097. Let x be m(28). Give x*r(v) + 3*o(v).\nAnswer: -v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 5*l - 4. Let u be 4\/(1*-2) + 7. Suppose -g + u*g = 40. Calculate the least common multiple of l and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 151, 276, 401, 526, 651, 776?\n\"Answer: 125*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, r: 1, m: 5, b: 5}. Give prob of picking 1 b, 1 o, and 1 r.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*m**2 + 168*m**2 - 1986*m + 717*m + 784*m wrt m?\nAnswer: 902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8113507970 rounded to the nearest 100000?\nAnswer: 8113500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33268*a - 216853 - 781187 = 0 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 + 7*d - 1. Let b be j(5). Suppose -111 = -b*k + 177. Calculate the remainder when 189 is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 + 151.6. Let f = 15 - b. Let j = -27\/20 - -8\/5. What is the biggest value in -2\/19, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 251 - 247. Solve -5*t + 3*s = 6, -k*t - t - 2*s + 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 162. Solve -8*o + 11*o = f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 0*k**3 + 1\/2*k**2 + 3\/10*k**5 - 23*k + 0*k**4 + 0. Suppose -22*p = -10*p + 12. Calculate f(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -724?\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 42483790 divided by -410\nAnswer: -103619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1646770 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -575, -1179, -1821, -2519, -3291?\n\"Answer: -3*v**3 - v**2 - 580*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -1253, -4322, -10309, -20186, -34925, -55498?\nAnswer: -82877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 2. Let b(q) = -q**3 + q + 2. Let l be b(2). Let f be k(l). Let o = -2 - f. Solve -1 = -4*c + 3*n - 2, o = -5*c + 2*n - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 972706 and 488.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3623.435ml to litres.\nAnswer: 3.623435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3637 = -262*f + 264*f, -4*f - 5*t = -7265. What is the greatest common factor of f and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 8*c**3 - 13*c - 15*c**3 + 220 - 9*c**2 - 207. Let l(s) = 7 - 6*s - s**2 - 3*s**2 - 3*s**3 - 1. Calculate -9*l(z) + 4*t(z).\nAnswer: -z**3 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24659, -26501, -28343?\nAnswer: -30185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.05 - 0.05. What is the second biggest value in q, -0.3, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70815, 142804, 214793, 286782, 358771?\nAnswer: 430760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 14 = -5*x, -6 = -3*x - 2*o. Suppose -4 = 2*i + 4. Sort -0.1, x, i.\nAnswer: i, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2255\/69 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 94*w + 2036. Calculate f(-22).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7079518 rounded to 2 decimal places?\nAnswer: 4.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y\/((y*y**(1\/4))\/y))\/y)\/y*y*y\/y**(-9)*y*y)\/((y*y**(23\/3))\/(y*y\/(y\/(y**(-8\/3)*y)))) assuming y is positive.\nAnswer: y**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txtx when four letters picked without replacement from pxptpptpptpttttx?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5539\/87641 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/152609 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 41, 84, 163, 290, 477, 736, 1079?\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-391) - (-87)\/(-17)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3420\/13 (b) 4.8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 6*l**2 + 2*l - 5. Let v be b(6). Suppose -4*f + 5 = -v. Is -2 - (f - (-2 + 168)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3774, -3778, -3772, -3750, -3706, -3634, -3528, -3382?\n\"Answer: j**3 - j**2 - 8*j - 3766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + -2*sqrt(320) + sqrt(320) + -1 - 1*(sqrt(320) - (sqrt(320)*1 + -3)))**2*5.\nAnswer: -6900 - 1600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-60)*45\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*3*2. Suppose 0 = 4*s - r*c + 37, 19 = -s - s + c. Let z be (1 + -1)*5\/s. Solve -3*o = 5*l - 12, -2*l + z = 2*o - 4 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21890380?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 14513.\nAnswer: 290.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p**3 + 41*p**2 + p - 53. Let c(t) = -17 + 4 - 23*t**2 + 14*t**2 + 19*t**2 - t**3. Let d(m) = -9*c(m) + 2*h(m). Determine d(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2799 and 104.\nAnswer: 237.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = g, 4*g - 4*p + 9 = -p. Let b(u) = -u**3 + u**2 - u + 14. What is the smallest common multiple of b(g) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 158*f**3*g**3 + 5*f**3*g + 2*f**2*g**2 + 4*f + 2*g**4 wrt g.\nAnswer: 948*f**3 + 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528.87384 microseconds to days.\nAnswer: 0.000000006121225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*i = -124 - 173 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 524791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 9 + 15 - 2*i**2.\nAnswer: -2*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2792 divide 864743824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 74 - 22 = 0. Let s be h + (9 - 5 - 7). Solve 0 = 3*r + s - 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -799*b = -466552 + 484130 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 422489771 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3071 = -4*w + 2843 for w.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 5\/3, 2\/3, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -453 (base 6) to base 14\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/(-77) + (-65)\/(-110)*6932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Suppose 0 = -40*q + 35*q + 15. What is the greatest common factor of y and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8721?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8136 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 = 0, 528 = 3*n - u + 504. Solve -7284 = n*x - 7212 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 10:47 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 218 + -221. Let m(p) = 4*p - 3. What is m(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4\/11, 0, 3\/2?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yol when three letters picked without replacement from ooylffly.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/4606 and -19\/8357258.\nAnswer: 58500806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 19*t - 7. Let w be h(11). List the prime factors of w\/22 + (-8)\/44.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15699 divided by -1?\nAnswer: 15699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -51, -105, -209, -387, -663, -1061, -1605?\n\"Answer: -4*c**3 - c**2 - 23*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/66 and 59\/84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3\/2 - 2648275*k**2\/2 + 5296565*k\/2 - 2648285\/2.\nAnswer: -5*(k - 1)**2*(k + 529657)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -187*a**2. Let r(l) = -5*l**2. Determine f(r(w)).\nAnswer: -4675*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -9\/41 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -1. Let x = 3 - j. Let b = 3 + x. Which is bigger: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.4 and 259.6?\nAnswer: -1142.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -525, -4053, -13535, -31947, -62265, -107465, -170523, -254415?\nAnswer: -362117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -126, -283, -536, -879, -1306, -1811, -2388?\n\"Answer: w**3 - 54*w**2 - 2*w - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -10. Let i be 14 + -17 - (-14)\/f. What is the nearest to 1 in 4\/7, 0.6, i?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 2*r + 10. Let m(p) = p + r*p - 6*p. Let y(c) = c**2 + 5*c + 5. Let x(v) = 2*v**2 + 8*v + 8. Let j(s) = -5*x(s) + 8*y(s). Determine j(m(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -50 (b) -2\/5 (c) 0 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25972)\/(-246734)*3*1?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 73294.95646674 and -3.\nAnswer: 73291.95646674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 52 = 102. Let g = 11 + -4. Calculate the lowest common multiple of g and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 3:02 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -505*a + 504*a + 30. Suppose -a*i + 1473 = -27*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 1\/24, -4, -0.045, -1\/5, 0.5?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27448744 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 448*z**2 + 2191*z - 33700. Calculate m(-453).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -245 (b) -0.2199 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000915681 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1662*k*w**4 + 1638*k wrt w.\nAnswer: -6648*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65, 155, 275, 425, 605, 815, 1055?\n\"Answer: 15*s**2 + 45*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 83*f + 428. Determine l(-6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-56)\/20)\/(6\/(-15)). Let q(z) = -z**3 + 6*z**2 + 6*z + 3. Let x be q(y). What is the nearest to 1 in x, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 4*i**2 + 2*i - 6. Let k = -53 - -46. What are the prime factors of u(k)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1118*w**2 + 1025*w wrt w.\nAnswer: -2236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 960742*s**2 - 7686040*s + 11529096.\nAnswer: 2*(s - 6)*(s - 2)*(s + 480379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -615 (b) 2 (c) 6 (d) 0.2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577176638 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.39746 * 0.76.\nAnswer: 6.3820696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 1\/3*c**3 - 2*c - 2 + 3\/2*c**2. Is 13 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, 1.539, 12?\nAnswer: 1.539","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 92*d**2 - 5*d + 452. Let b be z(92). Are b and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 3*y**2 + 15*y + 6. Let b be s(3). Let u = 6 + -2. Sort u, 5, b.\nAnswer: b, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 23*o - 250362*o**3 + o**2 + 250360*o**3 + o**2 to z*o**2 + l*o**3 + v + k*o and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -112*v + 66*v - 48*v**2 + 64*v wrt v.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(7260) + sqrt(60) - sqrt(60))*-1)\/((sqrt(180)*-2 - 2*sqrt(605))*-4).\nAnswer: 11*sqrt(3)\/68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - 3.4. Which is the nearest to 1? (a) -3 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2 + 2*m + 20. Let s be j(0). Suppose -3*p = 2*g - 6*p - s, -2*p - 8 = 0. Is g\/(-2 + (-5448)\/(-2722)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = -15*l. Sort -12, l, -0.5 in increasing order.\nAnswer: -12, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - p**2 - p**2)*(3*p + 3*p - 4*p)*(1 + 1 - 4).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1915 and 892007.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 2*h + 8 = -29*l, 2*h + 7 = -3*l. Are l and 1\/4842 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18275 and 175225?\nAnswer: 2978825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 31 = 3*u, 2*u + 15 - 9 = 4*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*t - 2*s - 1, -4*t + 5*s + 19 = 0. Suppose t*l = 271 - 25. Calculate the remainder when l is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(8\/12) + -1. Let t = 5 - v. Suppose 3*d - 3*f + 4925080 = 425065, -4499985 = t*d + 3*f. Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*i**2 + 86 - 86)*(-3*i + 0*i + 4*i + (-i + 2*i - 3*i)*(5 + 0 - 3) + i - i + 2*i).\nAnswer: 75*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196 - 276. Let r = 52 + v. Let l = -17 - r. Calculate the remainder when l is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -3*k**2 + 0 + 1\/30*k**6 + 0*k**3 - 1\/6*k**4 + 0*k + 0*k**5. What is the second derivative of h(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -61\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/60 + i**3\/6 - i**2. Let x be m(1). Solve -8 = 3*j - x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 5 - 12 = -5*c - z, -11 - 45 = 44*c - 2*z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114777607.\nAnswer: 7, 16396801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3214 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from mllexmll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**6\/480 - 3*w**5\/160 - w**4\/16 - 4*w**3\/3 + 7. Let y(i) be the third derivative of z(i). Factor y(c).\nAnswer: -3*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 2253366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o. Let h(g) be the second derivative of -g**4\/3 - g - 7. Calculate h(s(k)).\nAnswer: -400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16441?\nAnswer: 41, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 + w**2 - w - 1. Let j be r(2). Let s = j + 15. Let z = 2\/261 + 217\/5742. Which is greater: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from {y: 7, r: 5, q: 1}?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14576, 30518, 46460, 62402, 78344, 94286?\n\"Answer: 15942*y - 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 28 + 37 - 20?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k + 108 = 0. Suppose 5*g + 46 = 2*o - 205, -g + 425 = 4*o. Calculate the greatest common factor of k and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102.5 - 129. Let o = -26 - j. What is the second biggest value in o, 3\/8, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204 is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -y. Suppose y = 2*n + 3*x - 0*x, 1 = -n - x. Let u be 2\/(-10)*(-1 + -1). Which is the closest to 0? (a) u (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -79. Let c = t - 48. Let z = 24 + -18. Calculate the remainder when c is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499838?\nAnswer: 2, 11, 199, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**5\/5 + 2*h**4\/5 + 46*h**3\/5 + 78*h**2\/5 + 36*h\/5 = 0?\nAnswer: -3, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-14))\/(8\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62.1 + -62. Let n = 3 + 0. Sort 5, n, g in decreasing order.\nAnswer: 5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Suppose a*s - s - 10 = 0. Calculate the highest common factor of s and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 83 = 93 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6410 = 81*m + 65*m - 1255 - 1505 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 352 - 348. Let o be -3 + 8\/(16\/4). Let a = -8 - -13. What is the biggest value in a, b, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*(37\/(-9) - -4). Let c = 2\/1291 + -6473\/11619. Let r = y - c. What is the third smallest value in r, -9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.312347 millennia in years?\nAnswer: 2312.347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**4\/24 - b**2. Let d(i) = -3*i + 5. Let k(a) = 0 + a - 4*a - 3 + 5*a. Let m(z) = -3*d(z) - 5*k(z). Determine l(m(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5801366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(144)\/sqrt(192))\/((sqrt(448)*5)\/sqrt(7)) + 4.\nAnswer: -3*sqrt(3)\/40 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11364410 is divided by 61.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 17, 3\/13, 187?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3651596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = n + 8479 - 1446, 4*n = u - 2359. Let f(o) = 2343 - 3*o - u. Let x(i) = -i**2 + 0 + 0. Determine f(x(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -0.8, 4, 1.\nAnswer: -18, -0.8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-20)*(-2)\/(-4) - 1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-72))\/((-182)\/1092).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -3 - 2\/((-4)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/4*l**2 + 3\/4*l**4 - 1\/4*l**3 + 1 + 1\/4*l**5 + 0*l = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**4 - 2*c**3 - 2*c**2 + 2*c + 12. Let k(s) = s**3 - s**2 - s - 1. Let m(y) = a(y) + 6*k(y). Factor m(j).\nAnswer: 2*(j - 1)**2*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610972 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-45))\/(((-1003)\/340)\/(-59)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrwrrzwfwm. Give prob of picking 2 r and 2 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.39 - -4.39. Let n = -2.46 - -2.53. What is the closest to 2\/5 in 1\/4, t, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*d - 25*d + 23*d + (-5*d - 2*d + 4*d)*(-4 - 22 - 20) in the form q*d + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5957 - -5952. What is the closest to 1 in -7, o, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 2*y - 50. Calculate p(0).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 94 = -20. List the prime factors of b.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 = 5*j - 347 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37660384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 1 + 0 + 2*p)*(-3*p + 4*p + 2*p)*(-21*p**2 + 37*p - 37*p) as z + y*p**3 + n*p + u*p**2 + a*p**4 and give y.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-256)\/((2 + 7)*(-5 + (-78)\/(-18))). Let z = 87 - 45. Is z >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*p + 695*p - 187270 = 2234*p + 1881*p for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.92789*-0.4.\nAnswer: 14.371156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 + 13 = 0. Let g(d) = 3*d + 2 - d + 3*d - h. What is the tens digit of g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 + 11*x**2\/2 - 16*x - 558. Give f(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 53*p - 515. Calculate o(11).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*p - 118 + 118 + (5*p - 5*p - 2*p)*(-3 + 5 + 0) - 5*p + 2*p + 5*p.\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.14 and -0.17.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -68*-126\nAnswer: 8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3813 * 0.28.\nAnswer: -1067.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861112 is divided by 15107.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 3*s - 2. Let z be q(4). Let u be 12 - -4*3\/z. Suppose 3*g - g = u. Solve 17 = -g*j - 4*l, 0 = -3*l + 1 + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 3*k**5 + 39*k**4\/4 + 9*k**3 - 3*k**2\/2 - 6*k - 5. Factor f(p).\nAnswer: 3*(p + 1)**3*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724060.\nAnswer: 2, 3, 5, 83, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**4 + 1052*h**3 + 2*h**2 - 4*h + 599 wrt h.\nAnswer: 72*h + 6312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -25224284*m. Let b(f) = f. Calculate s(b(l)).\nAnswer: -25224284*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 175?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*t**3\/4 + 34*t**2 - 385*t\/4 + 75\/2.\nAnswer: -(t - 5)**2*(13*t - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/5 + -2 + 0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(16\/((-416)\/(-143)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 3. Give y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a + 100 = 0. Suppose k + 32 = 4*t, -5*t - 4*k - 3 + 22 = 0. Calculate the remainder when a is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 26*o**2 + 4. What is z(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c. Let k be -1 + -6 - 1\/(-1). Do k and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167820685 is divided by 499.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3648 divided by -6\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 1. Let t(s) = s + 1. Suppose -4*i = 2*j - 12, -5*j + 17 = -3*j + 5*i. Let g(x) = 8*x + 31. Let y be g(j). Calculate y*m(k) + t(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 - 52. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 5806949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9505 or -9517?\nAnswer: -9505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 975 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from lmdhddpddedhedp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 36*g - 5*g - 8*g - 21*g + 6 - 3*g. Give f(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d - 15*d - 19*d + 3*d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 + -81. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - j. Let g(s) = -s**3 - 4*s**2 - s - 5. Let y be g(-4). Let w be r(y). Calculate the remainder when 12 is divided by (w + 0)\/(3\/(-15)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9\/8203, -2.1, -2\/323?\nAnswer: -9\/8203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227.47803 months to millennia.\nAnswer: 0.0189565025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 140, 333, 594, 917, 1296?\n\"Answer: -h**3 + 43*h**2 - 3*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1989.05 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*h**3*z**4 - 77*h**3*z - 9410*h**3 + 2*h*z wrt z?\nAnswer: 24*h**3*z**3 - 77*h**3 + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 2*h + 9. Let n be s(-7). Let l = n + 44. Find the second derivative of -l*d + 3*d + 9*d - 3*d**2 + 7*d**2 wrt d.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (64\/12 - -4)\/((-1)\/(-72)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - 97*a + 38. Determine k(32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*n - 220 - 365, 4*f - 603 = -5*n. Suppose -49*a + n = -28. Factor -1\/12*s**5 + 1\/12*s - 1\/6*s**4 + 0*s**a + 1\/6*s**2 + 0.\nAnswer: -s*(s - 1)*(s + 1)**3\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/5 and 109\/7730?\nAnswer: 7730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1262, -2527, -3792, -5057?\n\"Answer: -1265*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1230 and 518.\nAnswer: 637140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5579\/10 - -544. Let q = h - -62\/5. Let i = -2 + -3. Put 0.2, i, -0.4, q in decreasing order.\nAnswer: 0.2, -0.4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014035 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*l + 9. Let t(i) = -i - 5. Let n be t(l). Put -2, n, 5 in increasing order.\nAnswer: -2, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 0*l**3 + 9*l**3)*(l**2 - l + l)*(1 + 2 - 1 + (1 + 1 + 0)*(2 - 5 + 2) - 3 + 12 - 3 + 4 - 3 + 1).\nAnswer: 48*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3103947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**6\/180 + n**4\/8 + n**3\/2 - 7*n**2. Let h(d) be the first derivative of f(d). Let k be h(-4). Solve -5*m = -15 + k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 4*n - r, 3*r = -2*n + 4*r + 25. Suppose j = n - 5. Solve -20 = -u + j*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*w + 2*w. Suppose -h - 3*u + 2 = -1, h + u = 3. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1570464411?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 199921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 3730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -1\/2, -715, 4\/15, 5 in ascending order.\nAnswer: -715, -1\/2, 4\/15, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 3 - 3)*(-4 + g + 4) - 10*g**2 - 4 + 4 as y*g**2 + o + p*g and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + -22 - 12) + (-8 - ((-4 - 9) + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let k(q) be the second derivative of -5*q**3\/3 - 6*q. Give a(k(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -18.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 365969, 365968, 365967, 365966?\n\"Answer: -j + 365970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 25*k**3 + 0*k + 4*k - 165*k**3 in the form a + d*k**3 + c*k**2 + i*k and give d.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000028422866 rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 72772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -54*u**3 + 41. Let m(j) be the first derivative of j**3 + 6. What is i(m(h))?\nAnswer: -1458*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7392 and 17610516.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -228791507 and 208.504.\nAnswer: -228791298.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a**4 - 1669*a**3 + 52459*a**2 - 479560*a + 39600 = 0.\nAnswer: 1\/12, 20, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3551, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*m = 796*m - 24984 for m.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 11 = -14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2127154 (base 8) to base 9\nAnswer: -1056385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/660 - 2*s**5\/165 - s**4\/44 + 6*s**3\/11 + 6*s**2 - 318*s. Find j, given that d(j) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16809048 and 4202262.\nAnswer: 16809048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 u when three letters picked without replacement from {u: 2, n: 8, h: 1, c: 4, a: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2440 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 300220, -20, -9.\nAnswer: -20, -9, 300220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/3)\/(3\/(-9)). Suppose 0*l = -2*l + a, -3*y + 71 = 4*l. Solve 2*q - 1 = 3*b, 2*b = 5*b + 2*q + y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**3 + 6*p**2 + 4*p - 2. Let m(r) = -r**3 - r**2 - r + 1. Suppose -2 = -3*x + 5*c, -2*x - 4*c = -5*c - 6. Calculate x*m(j) + d(j).\nAnswer: 2*j**3 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*r = 21 - 1, v - 2*r = 0. Suppose v + 4 = -4*x. Is 2 - (x + -10)\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 382880\/537 + -713. Let k = 547195\/4296 - y. Let b = -523\/4 + k. What is the common denominator of b and -121\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:10 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:45 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 75, 82 in ascending order.\nAnswer: -8, 75, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 259220.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*2)*3 - (-2*sqrt(84)*1 + sqrt(84) + sqrt(84)))\/(5*sqrt(588)*-4).\nAnswer: 3*sqrt(7)\/140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*3\/((-60)\/(-16)*(-12)\/30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 63\/111508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 7. Let j be u(-5). Solve d - j = -4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2634918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(63) - (sqrt(441)*-1)\/sqrt(7))**2 + sqrt(63) + 0 + 5.\nAnswer: 3*sqrt(7) + 255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c - 40*c - 222 = -2302 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 19 = 2*f - 9, 0 = -2*f - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = 14 - 68. Suppose -v - 4*c = -u*c + 1319999, 0 = 5*v + 4*c + 6599996. What is v rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-15))\/((-1)\/(-5)). Let n = 12 + m. Suppose -v = 3*v - 16. Solve -v*t = r + n, -4*r = t - 2 - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -344, -44, 3, 52, -4, -5 in decreasing order.\nAnswer: 52, 3, -4, -5, -44, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-58 - -70) + 66.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215988 is divided by 69?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**4\/4 + 3462485*y**3\/2 + 2997198862563*y**2 - 5994404650098*y = 0.\nAnswer: -3462486, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9408 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 9 + 3. Find the common denominator of (i\/(-10) - 1) + 34\/(-12) and 83\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h. Suppose -3*y = -h*y. Let t(a) = -a - 4. Let v be t(-8). Solve y = v*c - 13 - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 104\/65 - (-2)\/5. Suppose 0 = -i*j + 4*z - 46, j + j = -5*z - 28. What are the prime factors of (j\/2)\/((5 - 2)\/(-6))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1 - 4 + 4. Let h be w(6). Let d(j) = 4*j**2 + 5*j - 5. Let q(f) = -f**2 + f + 3. Let p(r) = d(r) + 2*q(r). Calculate p(h).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 43?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 27*c**3 + c**2 - 12*c**3 + c**2 as j*c**2 + u + m*c**3 + x*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 25. Calculate the highest common divisor of 3 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w = -33*w - 260. Let q = 2 + -14. Let s = w + q. Is 2 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 1387736.\nAnswer: 124896.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 638 - 635. Which is the nearest to z? (a) 1 (b) 0.12 (c) -3 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -5, -224.\nAnswer: -224, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*h + 35 + 56*h - 105*h - 27 - 17.\nAnswer: 2*h - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Suppose 0*w = -3*w + 3. Let i(m) = -3*m - 1 + 2 - w. Calculate o(i(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {t: 10, r: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = -7*x - 42. Solve 5*h - x = -2*k, 8 = 2*h + 2*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 7 + -1 + -3 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 517a (base 12) to base 6\nAnswer: 105034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**2. Let y(i) = 806*i**2 - 2*i + 211. Determine y(n(g)).\nAnswer: 39494*g**4 - 14*g**2 + 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + -41. Let z = -398\/5 - a. What is the nearest to 1\/3 in z, -1.1, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 0 + 3 - (sqrt(19) - (sqrt(1216)*1 - sqrt(1216))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**3\/6 + 15*s**2\/2 + 8*s. List the prime factors of y(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4572*i - 1216132. Give c(-266).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Suppose -4*x = q + 12 + 17, -40 = 5*x + 5*q. Let h(n) = -n**3 - 8*n**2 - 7*n + 1. Give h(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563698818.\nAnswer: 2, 3, 17, 614051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4205035 - -23?\nAnswer: 4205060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 2*t**2 + 2*t + 6. Let h be g(3). What is the third derivative of -36*d**5 + 33*d**5 + 4*d**h - 4*d**3 - 32*d**2 wrt d?\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 6:27 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + sqrt(8) + -1 - sqrt(8))*-6 + ((sqrt(80) - (sqrt(80) + ((sqrt(80) - sqrt(80)*3*6) + sqrt(80) - sqrt(80)) + sqrt(80))) + sqrt(80))\/sqrt(10).\nAnswer: -21 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-10) - 1)*(-25)\/(-2). Let x = -28.56 - -28. Let q = x + 0.06. Which is the second smallest value? (a) q (b) h (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000100100110101000010 (base 2) to base 6\nAnswer: 120103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 10*i - 3 + 0 + 0.\nAnswer: 10*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**4 + v - 1. Let u(h) = 97 - 180 + 97 + 82*h**4 + 2*h**3 - 14*h. Let k(f) = 2*u(f) + 28*y(f). Solve k(m) = 0 for m.\nAnswer: -1\/34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 730649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (105 - 95)\/((-2)\/(-3)). Let w = -2 - -1. What are the prime factors of (19 - s) + (w - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 42*w + 43. Let s(h) = -1948*h. What is k(s(g))?\nAnswer: -81816*g + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -19*m**2 - 22137*m - 413743. Give z(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 36 = -115*f + 116*f, 6*l + 85 = 5*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58518 + 4?\nAnswer: -58514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 10*t**2 - 13*t + 27. Let g be p(4). Let z be 6\/((-12)\/(-14)) - -2. Calculate the greatest common factor of z and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/1393, -1\/21, 117 in descending order.\nAnswer: 117, 4, -2\/1393, -1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -342 or -354?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128 + -174 - (9 + -46)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 15*h + 32. Let v be l(7). Let i = 74 - v. Solve -3*x + x - 6 = i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 2 (b) -0.3 (c) -0.5 (d) -19114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5527a0 (base 14) in base 11?\nAnswer: 16a2a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66649 rounded to two decimal places?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1379.87, -22, -5, -0.3, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -6 - (-431 + 4). What is the highest common factor of 100 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -751 and 10.274.\nAnswer: -7715.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -1007*i + 3019*i - 1006*i + 7*i**2 - 1008*i. Let y(u) be the first derivative of u**3\/3 - 1. What is q(y(t))?\nAnswer: 7*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 11*m**2 + 6*m - 10. What is the remainder when h(9) is divided by 63?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 30, 27, 16, 3, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2178570, -8714278, -19607126, -34857114, -54464242, -78428510, -106749918?\n\"Answer: -2178570*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.34042, -0.1, 0.3, -3 in descending order.\nAnswer: 0.3, -0.1, -1\/4, -0.34042, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 0*i - 2 = 2*i, 15 = 3*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 6. Let l(o) = -622*o + 27991. Let d be l(45). Sort p, -5, d, -6 in increasing order.\nAnswer: -6, -5, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of f**5\/300 + f**4\/30 + 2*f**3\/15 - 3*f**2\/2 + 2*f. Let y(k) be the first derivative of x(k). Factor y(z).\nAnswer: (z + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2264\/(-849))\/(24\/(-171))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (17\/(-2))\/((-3)\/48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/7 - 2032*z - 3612896 = 0.\nAnswer: -3556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-129 + (-28835)\/(-292))*4.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 - (49\/28 - 10). What is the highest common divisor of d and 1236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 21 = 7. Suppose -v*n + 1000 = 8*n. Let a(b) = -b**2 + 9*b + 6. What is the remainder when n is divided by a(5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 457*l + 58*l + 106*l - 10*l - 5 as d*l + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:56 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 320415 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**4\/9 + 16682200*a**3\/3 = 0 for a.\nAnswer: 0, 25023300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/3*(-33)\/2. Let l = -7 + n. Let s = l - 12. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - (3 + 6)) + -8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -158219.889 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -756.91933 to the nearest ten.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203039394 is divided by 2527.\nAnswer: 2525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-40)*(-64)\/24*1*-13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*u - 4*u + 2*u + (3 - 5 + 0)*(4*u - 4*u - 2*u) + (-2 + 5 - 5)*(3*u + u - 3*u).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02541*3.\nAnswer: 0.07623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*b - 42*b + 1 + 75*b.\nAnswer: 69*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/47665407 and -105\/92.\nAnswer: 190661628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*v = -14, -p - v + 17 = p. Let z(u) = -u**2 - 9*u - 8. Suppose -4*q = -8*q - 24. Calculate the least common multiple of z(q) and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 7074 = -3*m + 3*h, -4*m - 9429 = h. Let q = m - -3394. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -20*r**2 - 736*r - 5015. Determine q(-9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 43*z**4\/12 + z**3\/2 - 13*z**2 + 3*z. Let u = 2 + -1. Is p(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120.7 - 2.\nAnswer: -122.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -85 and -1698 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10935526 divided by 1862?\nAnswer: -5873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1)*k**(-1\/2))**(35\/4)\/((k**(-2\/9)\/k*k**(-2\/9)\/k)\/(k**1\/k)**(14\/9)) assuming k is positive.\nAnswer: k**(1121\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 5*n**2 - n - 4. Let v be (32\/(-6))\/(-1 - (-4)\/12). Suppose c - 12 = -v. Determine g(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111411 + 1110?\nAnswer: -110301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1491 and 4473.\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.1 (b) 0.415 (c) 0.1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 11 - 12) + 9 - -15 - -13?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 13*q**2 - 11*q - 5. What is the tens digit of a(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 3*n + 521*t = -34401, 3 + 170 = 5*n - 3*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**24*t**(-13)\/t)\/(t*t**(-13)*t**(1\/32)) assuming t is positive.\nAnswer: t**(703\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) -5\/5224 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14309474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or -80?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 5*b**2 + 4*b - 4. Let r be g(-8). Let d = -153 + r. Solve f - y - d = 3*y, -5*y = -3*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-9) - (-3020)\/3. Let z = k + -34241\/34. Let g = -146\/17 - z. What is the common denominator of g and -39\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 13*i**2 + i + 16. Let a be b(-13). Let m = -8 + a. Let c = -3 + 2. Sort c, m, 4.\nAnswer: m, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1365130*c + 828748*c - 2 - 2253822*c.\nAnswer: -2790204*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-70)\/(-3))\/((-24)\/(-36)) is divided by (12 - (-252)\/(-12)) + 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74.3 + 74. Let a = -7 - -6. Let k = h - a. What is the third biggest value in k, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1841.4ng to micrograms.\nAnswer: 1.8414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2537942 and -119\/2076498?\nAnswer: 22841478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30581*s - 30578*s - 14*l - 70 = 0, -5 = -5*s + l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a - a + 5*a + 2*a - a + 0*a + (3*a + 3*a - 5*a)*(-3 - 5 + 6) - 8*a + 3 - 3.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 651*h**2 - 178*h. Let l(i) = -1303*i**2 + 355*i. Let z(s) = -13*a(s) - 6*l(s). Find the second derivative of z(w) wrt w.\nAnswer: -1290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtf when three letters picked without replacement from tqf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83694.5 rounded to the nearest 100?\nAnswer: 83700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -608\/12305 or 0?\nAnswer: -608\/12305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 206065963241 + 0.07?\nAnswer: 206065963241.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-153)\/(-180))\/17)\/(-7*(-12)\/(-96))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*o - 16, -o = 3*o + 4*j - 32. Let z(c) = c**2 - 114*c + 3057. Let k be z(43). Solve 0 = o*m - k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2166248 + 4*k + 2166248.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 0)\/5 + -35. Let z = q + 53. What is the remainder when 30 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfqftpfpfpqtiqfffqfi. What is prob of sequence tif?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*12\/8*204. Suppose p = -s - 64 + 376, 0 = 5*s - p - w. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g**3*u**2 - 26*g**3*u - 286*g*u**2 wrt g?\nAnswer: 36*g*u**2 - 156*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -290 - -293. Suppose -g + 30 = -v. Calculate the remainder when 361 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636640 divided by 7.\nAnswer: -636640\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -21 (b) 5 (c) -56\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 - 267*b**2 - 264*b = 0.\nAnswer: -88, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 1204 = -48*m - 4*u, 393*u = m + 389*u - 21 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22419573 by 3.\nAnswer: 7473191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:39 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-26 + -2 + (-13)\/13)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 12:14 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 161501885 to the power of 1\/3, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let n be c(-1). Is 1 + -4 + 14\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/7, -77, -59?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 10, 29, 66, 127?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143)*-2 - sqrt(143)) + sqrt(143))*5)\/(-3*sqrt(99)).\nAnswer: 10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a decade in years?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/18 and -17\/66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 32786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -795788 + 1361989. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 17*s + 12. Let v be a(-9). Solve v*x = -6 + 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 1. Let l = 75 - 74. Let s(b) = -74*b - 75. Let h(v) = l*s(v) - 4*w(v). Differentiate h(a) with respect to a.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -901, -1321, -1743, -2167?\nAnswer: -2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 66*a**2 - 41*a - 152. Does 12 divide r(65)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1259 and 64814579.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-15) + 187090\/68835.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11419.441 to the nearest ten.\nAnswer: 11420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -71 (c) 0.04 (d) 0.1 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -44925, -89779, -134645, -179523, -224413?\n\"Answer: -6*b**2 - 44836*b - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110011010110 (base 2) to base 12.\nAnswer: 165b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27 - (-4 - -6)) + -4 + 0. Suppose 33 = -4*f - 51. Let w = c + f. Do -2\/3 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2319*d + 2442*d + 9102 for d.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-82)\/(-123))\/(28\/(-18)) + 13\/63. Sort 2\/91, 1\/5, r in descending order.\nAnswer: 1\/5, 2\/91, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12672 divided by -3168.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:28 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.2. Let s = 82 + -49. Let c = -35 + s. What is the closest to g in c, 3, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - 463\/5. Which is the nearest to -7\/2? (a) 2 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 3 - 1 + 2*i.\nAnswer: 2*i + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1625 - 647 - 329 - 649 - 65208*o**4)*(4*o - 4*o - 2*o).\nAnswer: 130416*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/((-2)\/3). What are the prime factors of 1\/(((-6)\/(-21))\/y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*p = -9468, -3*p = 4*q - 0*p - 18991. Suppose 5*a = -1679 + q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1902.7 + -1902.2. Which is the second smallest value? (a) q (b) -2293 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24779900429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + -21a9ac?\nAnswer: -21a9c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3220.45 * 0.0397.\nAnswer: -127.851865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2646 and 76734?\nAnswer: 76734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - z - 1664, x + 4*x + 3*z - 4160 = 0. Suppose -x*y = -825*y - 8050. List the prime factors of y.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-102)\/15 - -5)*20\/(-6). Solve k + d = -5*y + 1, -23 = -3*k + 4*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.36100578 - 0.361. Round i to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 14*r**2 + 18*r + 40. Suppose 12 = -5*a + 4*a. Let t be f(a). Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.98 - -0.02. Let v = -4 + 1. What is the second smallest value in 0, v, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/21 - 440668*b**2\/21 + 30898210*b\/3 - 1262377200 = 0.\nAnswer: -220824, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 + 3*a - 5. Let o(h) = 2*h + 8. Let f be o(-4). Suppose 5*b + 0 - 25 = f. Let y(v) = v**3 - b + 1 + 2 + v. Give -2*g(r) + 5*y(r).\nAnswer: -r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 + 0 = 0. Let n be (4 - 3) + p*-2. Let q(f) = 4*f**2 + 6*f + 5. Let m(t) = -2*t**2 - t - 1. Let g(l) = m(l) + q(l). Give g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -g + 3 + 5, 5*j + 34 = -g. Let p be (j\/(-9))\/(2\/(-3) + 0). Let q(r) = 2*r**3 + r. Determine q(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**3 - 4*c**2 - 3*c + 5. Let r(f) = 2*f**3 - 2*f**2 - f + 2. Determine 2*q(p) - 5*r(p).\nAnswer: -2*p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 9) to base 16\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + -0.46. Let c = 16.51 - 15.51. What is the closest to c in -0.3, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6508*2\nAnswer: -13016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -112000202100 (base 3) to base 10\nAnswer: -276111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/15 - 33554*r**2\/15 - 337790*r - 12695250.\nAnswer: 2*(r - 16927)*(r + 75)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*x**4 - 21955*x**3 - 2197249*x?\nAnswer: -264*x**2 - 131730*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10806.798 + -6.\nAnswer: -10812.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.8 + 6.8. Which is the second biggest value? (a) i (b) -2\/13 (c) 0.02 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009877856 to six dps.\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 3)\/(3\/(-6)). Suppose 5*b - 4 + 47 = -d*l, -4*b = -4*l - 128. Let t = l + 56. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 412041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 59*l**2 - 94*l - 280. Let g be t(-28). Solve g = s - 30 + 29 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**4 - 12 + 12*o**2 + 0*o - 8*o + 4*o**2 + 8*o**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 36, 39, 44?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*b + 12, 0*b - 6 = -4*h - 2*b. Let g(w) = 7*w**2 + 4*w - 5. Let p be g(5). Suppose v + p = h*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.278295 rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 44*x + 3 - 5. Solve -59*a = -60*a + p + 2, -3*a - p + 18 = x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/7, 71 in increasing order.\nAnswer: -2, -1\/7, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 104*s - 56*s = 139, -z - 3*s = -2*z - 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, 1 t, and 1 l when four letters picked without replacement from {e: 5, l: 1, t: 3, k: 4, g: 4, c: 1}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - 2*m)*(3*m + 0*m - 2*m) + 3*m**2 - 4 + 4)*(4*m**2 - 10*m**2 - 4*m**2) as o*m**3 + t*m**4 + i + x*m + s*m**2 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (153096\/(-80))\/(12\/(-5)). Let i = -799 + u. Calculate the common denominator of 49\/10 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c2 - b?\nAnswer: 3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -181.\nAnswer: -180.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 312990.21ns in days?\nAnswer: 0.000000003622571875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 332 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**2 - 6675*r - 13370 = 0.\nAnswer: -2, 1337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 2*r + 159, 85*j = 177*j - 87*j + 3*r + 161 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4554417, -4554419, -4554421, -4554423?\nAnswer: -4554425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 6*c + 3. Let k be j(6). Suppose 4*x = -0*x. Let w be 2 - x - (13 + -15). Solve -7 = -2*s - 5*u, -k*u = 2*s - u - w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*d + 13 - 22 = 0, 5*l + d = 13. Suppose 2*s + 172 = 5*h, 84 + 16 = 3*h - l*s. What is the remainder when 69 is divided by h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c. Let o(w) be the first derivative of c*w + 0*w**2 - 2 - 2\/3*w**3. Let n(q) = q**2. What is n(o(d))?\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 4*i**2 + 7*i + 15. Let k(w) = -w**3 - 10*w**2 - 5*w - 45. Let h be k(-10). Let u be z(h). What is the highest common divisor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 12?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 - 712835.\nAnswer: -712958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*d + 23 = 6*w, 2*d = -w + 9. Calculate the remainder when 6478 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4734, -5 in descending order.\nAnswer: 13, -5, -4734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5)\/t*t)**(3\/5)\/((t**(-2)\/t)\/t)**(2\/47))**40 assuming t is positive.\nAnswer: t**(3856\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Solve f = -d - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(468) + (sqrt(468) + -1*sqrt(468))*-2 + sqrt(468) + 3 + -2)**2*-3.\nAnswer: -5664 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5104 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 210\/(-1692) - (-2)\/12. Let n = 39\/188 + w. Sort n, -0.2, 2\/3 in descending order.\nAnswer: 2\/3, n, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5905 and -25?\nAnswer: 14.7625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84514714?\nAnswer: 2, 3863, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00414433146 rounded to 6 decimal places?\nAnswer: 0.004144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94753049 and 1016.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -5 (b) -0.01 (c) 4 (d) -1977\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 2. Let y = -108 - -112. Let m be f(y). Solve -4*z - 20 = 0, -x - z - m = -0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 15\/(-2) - (-6 - -1). Let y be ((-9)\/(-914))\/((-14)\/(-400)). Let w = -2\/457 - y. What is the nearest to w in -1\/9, -5, t?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2043, 8204, 18479, 32874, 51395, 74048, 100839, 131774?\nAnswer: 166859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 8*d + 12. Suppose c + d*j - 8 = 11, -2*c + 3*j = 7. What is t in 0 + 0*t + 0*t**2 + 2\/5*t**3 - 2\/5*t**c = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 2. Let s be c(-4). Let f be ((-1)\/s)\/((-12)\/72). Suppose 0*r + 22 = d - 2*r, 3*r + f = 0. What is the greatest common divisor of d and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22726 - 22724. Factor 5\/4*j + 1\/4*j**s + 1.\nAnswer: (j + 1)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 961 + -108. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 22 - 55)*(2*w - 3*w - w)*(5*w + 1 - 1)*(0*w - 5*w + 3*w + (1 + w - 1)*(-1 - 2 + 4)).\nAnswer: -570*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s*x**4 - 88727911*s*x**2 + 4*s*x + 21353*s - x**2 - 2*x - 229 wrt x.\nAnswer: -24*s*x**2 - 177455822*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160365255163 minus 8?\nAnswer: 160365255155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4960*c - 4930*c = 720 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 - 14*q**2 + 47*q - 311. Determine v(5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3431, 3428, 3423, 3416, 3407, 3396?\n\"Answer: -o**2 + 3432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 17*g**2 + 1 + 4*g - 9*g**2 - 9 - 7*g**2. Let s be j(-6). Solve 0 = -3*u - s*x - 2, -2*u = 2*u + 3*x - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 195 = -5*l + 82, 0 = -c + 2*l - 70. Let f be c\/119 + 190\/308. Are f and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.3, -38706 in ascending order.\nAnswer: -38706, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -599, -587, -741, -1061, -1547?\nAnswer: -2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 232?\nAnswer: -232.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2385030 + -2385051.99878. Let r = -35 - -13. Let q = z - r. What is q rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*o + 91 - 126, 4*j - 4*o - 40 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 9*g**4\/5 + 209*g**3\/5 - 79*g**2 + 127*g\/5 + 10 = 0?\nAnswer: -25, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/23, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*p**6 + p**3 - 4*p**2 - 13 + 13 + 4*p + 2*p wrt p?\nAnswer: 3840*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9082811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + q**2 + q + 50. Determine z(0).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 1. Let w(v) = 17*v - 2. Let y(d) = -5*q(d) - 2*w(d). Let x(j) = 14*j + 1. What is -5*x(l) - 8*y(l)?\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 18320316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6847447?\nAnswer: 17, 193, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and 13.\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 36 - 36 - 5*b. Let n(o) = 2*o**2. Determine n(j(i)).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5996, -11 in ascending order.\nAnswer: -11, 4, 5996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a century in years?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 5) to base 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p - 15. Suppose -p*u + 0*a = -3*a, 0 = -5*u - a - 18. Let l(n) = -n**2 - n - 4. Give l(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 199957142*z**5 + 8549*z - 5818 wrt z?\nAnswer: 3999142840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 232621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56994366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:45 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 3 - 3 + 0 - t + 0 + (-1 - 1 + 0)*(4*t - 4*t - 2*t) + 4*t + 3*t - 3*t - 1 - t + 1 + (-3 + 2 + 0)*(-3*t + 4*t + t) as h*t + o and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 52238\/3, -2\/5, 2\/3, 4 in descending order.\nAnswer: 52238\/3, 4, 2\/3, -0.03, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3222589 and 259?\nAnswer: 22558123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 11264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -118683 (base 9) in base 13?\nAnswer: -26a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35.9 - 35.8. Which is greater: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 + 266115*d + 266136*d - 532250*d + 8.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10781176?\nAnswer: 2, 7, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -275*h**4*q + 10*h**2*q**3 - 18*q**3 - 145*q**2 wrt h.\nAnswer: -1100*h**3*q + 20*h*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 9*b - 92. Let a be p(0). Let g = a + 94. Solve 2*v - 4*h = 22, h = -g*v - 4 + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443356 a multiple of 409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-11) - (13 + (-70)\/7).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**3 - 7*n**2 - n. Let t(c) = -3*c**3 - 4*c**2. Give 3*b(z) - 5*t(z).\nAnswer: -3*z**3 - z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2946 + -2945.969. Which is greater: a or -20?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22132*z - 22133*z + 88553*z - 22128*z - 22154*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 384047553, 768095107, 1152142661, 1536190215?\n\"Answer: 384047554*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 24 = 4*q + 3, 0 = 4*w - 2*q - 18. Let s(z) = z**2 - 5*z + 2. Determine s(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**2 + 106*d + 261. Calculate the least common multiple of 522 and i(-27).\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2337 by 11422.\nAnswer: -2337\/11422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*g**3 + 424*g**3 - 2226*g**3 + 426*g**3 + 444*g**3.\nAnswer: -326*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*i = 3*i - 376, 0 = -c - 5*i + 94. What is the remainder when 468 is divided by c?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 3*r - 3*r + (0*r - 5*r + 4*r)*(-2*r**2 - 2 + 2) + (2*r + 0*r + 0*r)*(r**2 - r + r) + 0*r**3 - 12*r**3 - 10*r**3.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 17*i**2 - 12*i**2.\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 1 + sqrt(11) + 1)**2 + sqrt(11) + (sqrt(11) - ((sqrt(110)\/(sqrt(10)*-1))**2 - sqrt(11))).\nAnswer: 11*sqrt(11) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 11*d - 3520 = 0. Let f = -165 - d. Is 38 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/3 + k**3 - 2*k**2 - 28*k\/3 - 8 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -43.8. What is the smallest value in -0.5, c, 6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/12)\/((-2)\/(-12)) - -2. Factor 0*g + 2\/5*g**4 + 0 - 2\/5*g**5 + 0*g**3 + h*g**2.\nAnswer: -2*g**4*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/5 of a centimeter?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -20, -1\/24, -1?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103, 107, 125, 163, 227?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 11*k**2 + 8*k - 41. Let c be g(-12). What is the third derivative of -c*s**2 + 4*s**2 - 26*s**2 - 44*s**3 wrt s?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/930 and -113\/372?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 + 112*t**2 - 7*t + 396. Let z be w(56). Solve 8 = 5*l - 8*o + 11*o, 5*l = -z*o + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 80*k + 247. Let z be l(-4). Is z smaller than -147\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.9 and 33814.8.\nAnswer: 33823.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.79 - -1.9. Let t = d + -14.71. Let j = -14 - t. Sort 5, 2\/9, j in descending order.\nAnswer: 5, j, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*d**2 + 0*d + 0*d + 2*d**2.\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 114, 242, 362, 468, 554, 614?\n\"Answer: -l**3 + 2*l**2 + 129*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {w: 1, n: 1, c: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 4*r + 7. Let y be s(3). Let i be y + (-6)\/(-7) + -4. What is the biggest value in -0.3, i, 2\/23?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 4*m**2 + 3*m - 2. Suppose 2*y - 15 = 4*a + 5, -3 = -3*y - 3*a. Suppose 7*s - y*s = -9. Determine z(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15*j**3 - 4*j - 4. Let u(y) = -361*y**3 - 95*y - 95. Let v = -8868 + 8864. Give v*u(k) + 95*z(k).\nAnswer: 19*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g - 57. Suppose 11*f - 14 + 80 = 0. Let h be 5 - (-9 + (-4 - f)). List the prime factors of p(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -177 - -168. Suppose -128 = -g + 5*g. Let p = f - g. Solve 4*j - p = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**4 - 53495*b**3 - 1120965*b**2 + 2402435*b - 1227970 = 0.\nAnswer: -10678, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/8418 and -133\/30.\nAnswer: 42090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4304 + -309959\/72. Find the common denominator of i and 145\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 238 = -2*i, 0 = 2*v + 1898*i - 1893*i - 253. Solve -487*s = -506*s - v for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.4381559 months?\nAnswer: 0.0119846325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 <= -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, n: 1, i: 1, h: 1, o: 1}. What is prob of sequence nho?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1056 and 46800?\nAnswer: 1029600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 4*g - g)*(1 + 14 - 1) - 70*g + 19*g - 36*g in the form b + r*g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1067 = -2*n, -19*n + 2126 = 2*l - 15*n. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-228096)\/(-270))\/(-96)*25\/(-12)*42\/10.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + k - 3. Let d be (8\/(-6))\/(2\/(-3)). Let a be o(d). Which is greater: -6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -241024 (base 6) to base 12.\nAnswer: -10174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 1, q: 1, v: 1, i: 1}. What is prob of picking 2 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4958153 and 214734.\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1563*s + 10 - 10 - 2310*s in the form o + i*s and give i.\nAnswer: -3873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*g + 4*q - 98, -5*g = 3*q - 169. Calculate the least common multiple of 235 and g.\nAnswer: 1645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + g + g - g - 181 - 116.\nAnswer: g - 423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 609.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = -4*p - 3590, 7173 = 4*c - p. Let f be 33\/(c\/(-6160) + 2\/7). What is f rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 700*c - 15 = 695*c, -2*c - 1 = 3*x. Let k = -238 + 2620\/11. What is the closest to -0.3 in x, k, 0.8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 188403045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 397708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i**3 + 220*i**2 - 223*i + 552. Give f(43).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2308 or -2309?\nAnswer: -2309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 12. Let m(d) = -2*d**2 + 2*d - 2. Let h(i) = 6*i**2 - 7*i + 7. Let k(p) = 2*h(p) + 7*m(p). Give k(o(g)).\nAnswer: -2*g**4 - 48*g**2 - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 greater than or equal to 9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-2*h + 10*h + 0*h)*(107*h + 0 - 46*h - 2).\nAnswer: 488*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**8\/1680 + s**5\/60 + s**3\/3 + s. Let i(q) be the second derivative of t(q). Find the second derivative of i(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 61 = -3*f, -4*f - 6 = -2*f. Solve a - 2*i = 4 - 10, -i = -3*a - b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 4*b - 8. Let h be r(6). Let c(a) = 2*a**2 - h*a**2 + a**2. Let s(y) = 3*y**2. Determine s(c(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 14*h - 62*h + (1 - 2*h + 0*h - 2)*(4 + 6 - 1).\nAnswer: -93*h - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**3 + 3*d + 2. Suppose 0 = 10*q + 41 - 11. What are the prime factors of w(q)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*z - 25, -3*z + 2*z - 5 = -m. Let i(v) = -v**3 - 4*v**2 + 2*v + 51. Calculate the smallest common multiple of i(-6) and m.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 > -2465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 14 + 16 + -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(567) + -1 + sqrt(567)*-4 + sqrt(567))**2*-6 + -1.\nAnswer: -81685 - 1296*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -764\/9 or -86?\nAnswer: -764\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005146 to seven dps.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 625*z - 621*z - 84 = 0, 0 = 5*m - 14*z + 15*z - 34 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4422311114 + 11?\nAnswer: -4422311103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/6, -1, 20, -1\/2, -0.14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, r: 2, d: 1, m: 4}. What is prob of sequence qd?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -6\/23 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5146678 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = s + 75*a - 73*a, -4*s - 4*a = -12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 834*p - 816*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -3*p**5\/5 + 7*p**4\/3 + 12*p**3 + 16*p**2 + p + 2. Factor r(u).\nAnswer: -4*(u - 4)*(u + 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5787.024 months to millennia.\nAnswer: 0.482252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2774 and -511?\nAnswer: -1417514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 239182?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 + 2*o**3 - 58*o - 60*o + 114*o - 16 in the form y*o + r*o**3 + s*o**2 + t and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3198 is divided by 101.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225.6316615 + -70832.\nAnswer: -71057.6316615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -44863777?\nAnswer: -44863782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 = -1. Solve g*k = -4*p + 31, 3*k - 3 + 0 = 3*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 15, 6, -9, -30, -57?\n\"Answer: -3*c**2 + 6*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/12998134 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 11 - 15 = 63*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 15*(606\/(-54) + 11)*12?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 36*n**2 - 182*n - 4. Give s(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3779 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67 and -0.4?\nAnswer: -26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3273183, 3273184, 3273185?\nAnswer: 3273186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*a - 285 + 6*a**2 - 831 - 99*a.\nAnswer: 6*a**2 - 74*a - 1116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264 and 8712.\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5996 minus -5?\nAnswer: 6001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 646?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + (-27)\/4. Suppose -2*x - 5*k = 14, x = 2*x + 5*k + 12. Let y = 153889 + -153886. Sort x, y, l, -1 in increasing order.\nAnswer: l, x, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*q - 48*q + 1 - 3 + 25*q**2 to g + o*q + a*q**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(80\/75))\/((-744)\/992)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.73 - -1.27. Let i = 0.4 + 0.1. Which is the nearest to -2? (a) i (b) x (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Suppose s*h - 15 = -7*i + 4*i, -i - h = -6. Solve l - 4 = i*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13222333 (base 4) to base 11.\nAnswer: 21677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 2*q + 231. Calculate the remainder when 295 is divided by q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37.7 and -119.291.\nAnswer: -4497.2707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*o - 239406 = 10662. What are the prime factors of o?\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6170227332 a multiple of 642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -28*w**2. Let l(n) = -58 + 18485*n + 18484*n - 36971*n. Calculate l(c(i)).\nAnswer: 56*i**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27.709716 from -11.\nAnswer: -38.709716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 - 8 = 0. Let j = 84 + -50. Let y = -21 + j. Calculate the remainder when y is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - x**2 + x. Let v(z) be the second derivative of 15*z + 0 + 0*z**2 - 7\/20*z**5 + 1\/2*z**4 - z**3. Calculate -30*k(m) - 5*v(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13042 - 3650 = 4*o - 2*r, 3*o + 5*r = 7057. What are the prime factors of o?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 151\/2 + -74. Let d(m) be the second derivative of l*m**2 - 2\/3*m**3 - 1\/12*m**4 + 4*m + 0. What is d(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 15*j - 8)*(2 + 0 + 10).\nAnswer: -180*j - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (3 - 2 - -2). Put -1, 1, i in descending order.\nAnswer: 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:12 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*u - 8065 - 6859 = 0. Calculate the remainder when u is divided by -6*(7\/(-2) + -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 858015 is divided by 212.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1439*k**4 + 4*k**3 - 200*k**2?\nAnswer: -34536*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*v - 85792 = -84703 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(17) - (sqrt(102)*-1)\/sqrt(6)) + -3 + -6*(sqrt(17)*2 + sqrt(17) + -2)*3)*-1.\nAnswer: -28 + 52*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 690 = 16*c. Calculate the lowest common multiple of c and 9.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**3 - 3*j**2 - 4*j. Let y(t) = t + 1. Suppose 0*h = 2*h - 2. Determine h*k(v) + 5*y(v).\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 - -143.5. What is the second biggest value in -5, 0.05, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*i + 2*i. Suppose 3*u + 74 - 2 = i*x, 0 = x. Let j = -5 - u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084.031 microseconds in nanoseconds?\nAnswer: 1084031","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10415*c**2 - 11903*c**2 + 20207*c**2 to the form y*c + w*c**2 + s and give w.\nAnswer: -2111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 32\/7*(-199)\/(-199)\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -352.9 in 2, 5, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12020222102 (base 3) in base 16?\nAnswer: -1944e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 6*q**2 + q**2 + 3*q**2 - 2*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 0*m = -17*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (9\/6 - 0). Let t be (1 - -5)\/(18\/12). Suppose -4*g - t - 4 = 0. Are c and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaiaikaaiki. Give prob of picking 3 i and 1 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1125\/(-30)*330\/275.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-20)\/8)\/((-2)\/4))\/(-1). Let w be (-3 + 1)*(-6 - g). Solve 0 = 2*r - 0 - 6, 5*q - 26 = -w*r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by (48\/15)\/((-68)\/(-340)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 252 in -0.3, 182, -4\/9?\nAnswer: 182","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**6\/6 + 39*u**5\/5 + 237*u**4\/4 - 955*u**3\/3 + 519*u**2 - 360*u - 3397. Find y, given that i(y) = 0.\nAnswer: -30, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -128*n**2 - 31*n. What is l(3)?\nAnswer: -1245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/(v**6\/v))\/v**(1\/2))\/(v**13*v*v**(-9)\/v) assuming v is positive.\nAnswer: v**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {h: 1, e: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1000.096 + 1.096. Let g = -998.74 - k. Let j = -1 - -0.9. What is the closest to -2\/3 in 5, g, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 120*f + 1016. Calculate a(-11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 1)\/(7 + (-31305)\/4470) is divided by 76.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 927 and 9.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 1. Let x(g) = 1. Let w(v) = -2*m(v) - x(v). Let o = -15 + 10. Let d = o - -8. Give w(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -295431159.\nAnswer: 1\/98477053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*m - 5*s + 24, -m - 4 = -2*s. Let y(p) = 6*p + 4. Does 7 divide y(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*a = 5*p - 180*a - 22, -a = -4*p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12584 = -69*w - 6224 - 3945 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 19427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) + -1 - 9\/(-2). What is the units digit of (-422)\/(-4) - (l + (-27)\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*j + 37 = 0, 5*a + 0*j - 15 = j. Suppose p = 11 + a. Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*v - 48. Let q be 4 - 2 - (11 + 1). Let z be q\/55 - (-4)\/22. Solve 3*w - v*y - 1 = z, 0 = -w - 2*y + 5 - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w - 6. Suppose 3*g + 35 = 4*k, 5*g = 3*k - 8 - 21. What is d(k)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5766492469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/5 + 24*f**2\/5 + 24*f\/5 - 32.\nAnswer: 2*(f - 2)*(f + 4)*(f + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 15, 31, 53, 81, 115, 155?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjqqjjjjjjjej. What is prob of picking 1 f and 1 j?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 234*q**2 - 2973*q - 885. Calculate g(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdd when three letters picked without replacement from {c: 9, d: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -9769*f - 9760. Determine o(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l. Let t be a(-5). Let p be 2\/4*-1*t. Suppose -3*c = h - 24, -h + 4*c - p = -2*h. Solve -5*y - h = 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.56, 4, -1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 4*q + 2*q)*(-2*q + 3*q + 8*q)*(4*q - 4*q + 2*q) in the form r + c*q**3 + i*q**2 + g*q and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45173.56211 - -551732.43737. Let z = v - 596931. Let i = z - -25. What is i rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9b72 (base 15) to base 12\nAnswer: 170a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13312, 13315, 13318?\nAnswer: 13321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxx. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/2)*q*(q**(-2)\/q)\/q)\/(q**(-1\/12)\/q**(-10\/7)) assuming q is positive.\nAnswer: q**(-323\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -86 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31367*h + 116 = -31396*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17282647 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence maa when three letters picked without replacement from vavmvaaaa.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.7, 24303.\nAnswer: -0.7, 2\/5, 24303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 69\/28*123\/((-7380)\/140)\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.71559 to zero dps.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + -1 + 3 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 6*q + 59 = -3*j, 0*j - 3*q = 6*j - 2*q - 292 + 399 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89.4 - -96.4. Which is the second biggest value? (a) y (b) 0.2 (c) -0.1 (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18498 divided by 16\nAnswer: 9249\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 4*p + 9 + 20 + 3, 83*u = -4*p + 80*u - 32 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c**2 + 22*c + 3. Let z(j) = 36*j**2 - 88*j - 14. Determine 9*p(s) + 2*z(s).\nAnswer: -18*s**2 + 22*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*b - 5*x = 10, b + 5*x + 10 = 0. Suppose 0 = -5*t + 2*j + j + 132, 4*t = 4*j + 112. Suppose 2*o - 5*o + t = b. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12, -1, 2 in increasing order.\nAnswer: -1, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4933913 rounded to four dps?\nAnswer: 1.4934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407831 and 81752.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**4\/4 - f**3\/3 + 2*f**2 - f + 9. Let r(l) = 2*l**2 - 4*l**3 - l + 3*l**2 - 3*l**2. Let t be r(1). Give g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -745*i. Let v(k) = -2088*k. Determine v(c(t)).\nAnswer: 1555560*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 134*g**2 - 414*g**2 + 157*g**2 + 61*g**2 - 1.\nAnswer: -330*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.1838 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2, -3*t + 124 = 5*k - t. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from anasanaavnaanv. What is prob of picking 2 a, 1 v, and 1 s?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a56673 + -16?\nAnswer: 1a5665a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 13461960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 6*u**2 - 5*u + 11. What is b(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78516?\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 5*h**3 + h**3 + 0*h**3 + 3*h**3 - 3031*h + 2*h**3 - 3*h**3 + 3034*h + (h**2 + 0*h**2 - 3*h**2)*(2*h - h - 3*h).\nAnswer: 2*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + (-12)\/(30\/5). Solve 0 = -v - x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w + 1. Calculate the remainder when 53 is divided by f(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + -1 + (0 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-10))\/(4\/(-10)). Which is bigger: t or -21\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Solve 2*w + j*u = -6, -3*u = -6*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Suppose -2*d + p = -9. Let k(f) be the third derivative of -f**6\/120 + f**5\/10 - f**4\/4 + f**3 - f**2. Determine k(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m - 24 = 0. Suppose -51*o + 4 = -49*o. Suppose 5*g + t = m*t, 4*g - 2*t = -o. Put g, -3, -5 in ascending order.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*b + 8*b + 8*b - 69*b.\nAnswer: -82*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0) + (-6 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 - (-33)\/(-9))*15*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 2\/11 (b) -50 (c) -1\/23 (d) 0.4 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -566 (base 7) to base 3.\nAnswer: -101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 827998 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Suppose 0 = -r - o*r - 15, -r + 214 = 3*u. Let v = -39 + u. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460 + 460 + 5001*b**2.\nAnswer: 5001*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3 + 12 = 0. Let o be 24\/18*(-6)\/(-4). Let s be 12\/o - 2 - 3. Sort f, 4, s in decreasing order.\nAnswer: 4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6697 divided by -1?\nAnswer: -6697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2499*k**3 + 4 - k + 2500*k**3 - 2 + 36*k**2 - 6*k + 0*k in the form x*k**3 + g*k + h + z*k**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 2095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = -3. Let w(x) = r*x**3 + 6*x**2 + x**3 - 4*x**3 + 3. Is 15 a factor of w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsirrppsysyi. Give prob of picking 1 p and 1 s.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/4*30\/9. Let q = p - -23. Let x = 3 + -1. Solve q*o + 4*w - 11 = 0, -2*o + x*w - 22 = -6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2416 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -18.54. Let s = m + -0.460123. What is s rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, e: 3, g: 1, k: 1, c: 3}. What is prob of picking 2 e and 2 c?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*3 - (-6 + 9). Suppose -2*r = -3*h - 110710, q = -5*h + 10*h - r + 184505. Round h to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 13 - 5)*((0 - 3 + 4)*(2 + 2*u - 2) + u + 100*u - 6*u + (-3*u + 7*u - 2*u)*(-4 + 3 + 3)).\nAnswer: 2323*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6768, -5, 0 in increasing order.\nAnswer: -5, 0, 3, 6768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -985867, -3 in increasing order.\nAnswer: -985867, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 15. Sort 2, c, -3 in decreasing order.\nAnswer: 2, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 19769136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3638*d**5 - d**3 - 60*d**2 - 236*d - 4264.\nAnswer: 72760*d**3 - 6*d - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 4 - 4)*(45*u + 2*u + 10*u) + (-4 - 4*u + 4)*(2*u + 0*u - u) - 3*u**2 + u**2 + 0*u**2 + 2*u**2 - 5*u**2 + 2*u**2 to r*u**2 + t*u + a and give r.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1142, -1091, -1016, -923, -818, -707, -596?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 1836*u + 47111. What is g(26)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 2 - -4) + -3 + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*u + 4*u**4 + u - 3*u**4 - 6*u**3 + 0*u**4 as p*u + j + d*u**2 + s*u**3 + n*u**4 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00166126 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 581\/498*(-4)\/28\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10\/3, 0.2, -1\/10, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h + 13*h + 127*h**2 + 58*h**2 + 80*h**2.\nAnswer: 265*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, 0.3, -64, -0.006, -5, -1, 5?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 644085497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01422 rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 - i**3 + 2*i**3 + 4*i**2. Let d be n(-1). Suppose 5*h - 11 = -1. Which is the nearest to d? (a) h (b) 7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -675, -1357, -2039, -2721?\n\"Answer: -682*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 782*i**3*w**2 - i**3 + 27*i*w wrt w?\nAnswer: 1564*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*t - 0*t - 44, 4*y - 44 = -t. What is the smallest common multiple of y and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132671 divided by -76\nAnswer: 132671\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7431 to two decimal places.\nAnswer: 1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-28)\/32 + 1\/4. Let o be (3\/2)\/(1\/(-4)). Is k\/o - (-1)\/((-9)\/(-3630)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**4\/12 + 7*h**3\/6 + 3*h**2 - 3*h. Determine f(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 20*x**3 + 3*x**2 + x + 3. Suppose 5*h - 15 = p, 3 = h + 16*p - 11*p. Let b(y) = -39*y**3 - 5*y**2 - y - 5. Give h*b(t) + 5*d(t).\nAnswer: -17*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85130542?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 64*g**2 + 99*g + 2323. Let w be j(-63). Calculate the greatest common factor of w and 2255.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8170265.2 - 8170228.200013. Let m = d + -37. What is m rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348770916 and 73017?\nAnswer: 10431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.737 tonnes in micrograms?\nAnswer: 597737000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5*6\/(-45))\/(2\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*n**5\/3 - 1885*n**4\/3 - 1025*n**3 - 395*n**2\/3 + 770*n\/3 = 0. Calculate n.\nAnswer: -1, 0, 2\/5, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79470 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 3*p - 3*p**3 + p**3 - 20*p**3 - 8*p**3.\nAnswer: -33*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 133377 and 168567?\nAnswer: 325840011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 25. Let p be (-3 - v) + 95*2. Suppose 3*j + 2*i = 146, 2*i = 5*j - j - p. Calculate the highest common divisor of j and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42, -12, -80, -162, -258, -368?\n\"Answer: -7*y**2 - 33*y + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 3 - ((18 - 12) + -9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*b - 4*w, -14*w + 16*w + 36 = 5*b. What is the greatest common factor of b and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = -2. Suppose 7 = s*l + 1. What is the common denominator of -17\/8 and (l\/6)\/((-3)\/33)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 696 (b) 3\/11 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/35)\/((-32)\/800*(-45)\/(-6)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11 + 6*k - 3*k - 6. Let d be b(5). What are the prime factors of d\/((-4)\/27)*4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1389 + 5*j + 1389 + j - 2*j - j + (0*j + 2*j + 0*j)*(0 + 3 - 2) + 2*j + 2 - 2.\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 - 6)*(2 - 2 + w) + (3 - 3 + w)*(4 - 1 - 1).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p**2 + p. Let s be 12\/(-9) + (-1)\/(-3). Let a be b(s). Suppose -4*g - 5*o = -11 - 15, -4*o + a = 0. Solve 0*w = g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19715619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/3)\/(3\/18). Let b be (1 + 2)*d\/(-3). Suppose -7 = -n - 4. Solve n*g + b = 4*v, 3*g + 9 + 4 = 5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 11) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and 31.\nAnswer: 31.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 11*t**2 + 4. Let d be c(2). Is 5 a factor of (-440)\/d*(-5 - 1) - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(19\/4)*w)\/(w\/w**(-35)*w*w)*w**24\/w**20 assuming w is positive.\nAnswer: w**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -748 + 754. Let v be (663\/(-26))\/17 - m\/(-4). Solve 4*j - 12*j + 32 = v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/((-92)\/(-16) - 2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13841, -13692, -13543, -13394, -13245, -13096?\n\"Answer: 149*o - 13990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683034359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let s(y) = -3. Let q(m) = 6*s(m) - 3*v(m). Let i be q(-6). Solve -2 + 15 = -2*x + 3*l, -3*x - 4*l - 11 = i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -118a - -3?\nAnswer: -1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-6)\/(-9) - (-7)\/6. Let k(h) be the first derivative of 0*h - 3\/4*h**4 + 0*h**3 + l*h**2 + 2. What is the second derivative of k(m) wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.04 + 0.04. Let z = 9.7 - 2.7. What is the closest to 0 in z, -3\/4, a?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -528 or -5814\/11?\nAnswer: -528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, 2\/22325, 2\/9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 17. Suppose 0 = 26*i - 23*i + 24. What are the prime factors of o(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6551*c - 3273*c + 378 - 3280*c as a*c + x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 522659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2 + 767*p - 5418 = 0. Calculate p.\nAnswer: -774, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*u + 3*u. Let j(i) = -4*i**3 - i**2 - i + 2. Let b(w) = -11*w**3 - 2*w**2 - 3*w + 6. Let h(f) = u*b(f) + 8*j(f). What is h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 39.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 176 - k - 2*k**2 - 3*k**2 + 5*k**2 + k**2. Let j be (-9)\/18*(0 - 0). Let s be f(j). Calculate the greatest common divisor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*i - 38*i**3 - 19*i)*(9*i**2 - 59 + 59).\nAnswer: -342*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19*(5 - 4) - -8. Solve -21 = 6*u - x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2945 + 2950.122. Round n to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3247172054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -531 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*z - 3 = 0, -4*a + 2*z - 50 = -8. Let k(j) = -j**3 - 11*j**2 + 14*j + 23. What are the prime factors of k(a)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 0*o**3 - 1\/12*o**4 - 1\/10*o**5 - 5*o**2 + 0*o + 0 - 1\/42*o**7 - 1\/60*o**6. Find the third derivative of v(j) wrt j.\nAnswer: -120*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w. Let j(b) = -119*b + 1. Calculate -2*f(l) - j(l).\nAnswer: 117*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 468*b**2. Let y(o) = -19957*o. What is y(w(t))?\nAnswer: -9339876*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*x = -5, c - 7*x = -8*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-3)*(4\/(-15))\/((-42)\/9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -25. Let q be (-7)\/((-7)\/v) - -4. Suppose -k - k - n + q = 0, 5*n = -2*k + 11. Solve 5*s + 1 - 11 = 0, k*s - 5 = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -66*d. Let g = 18577 + -18571. Let f(p) = 13*p. What is g*l(v) + 33*f(v)?\nAnswer: 33*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*k**2 + 2\/15*k - 62\/5*k**3 + 4\/15*k**4 - 6 = 0. Calculate k.\nAnswer: -1\/2, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -175710336 divided by -9536\nAnswer: 18426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = r. Suppose -4*b = -20, -h + 8*b = r*b + 3. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 12. Let l be 6 + -6 + (-2)\/15. Which is the second smallest value? (a) n (b) -2 (c) 2\/3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 10 - 1. Let x be (-9)\/(-3)*((-34)\/(-3) + p). Calculate the greatest common factor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1812561 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2531 + -897. Let g = 372 - b. Let x = 1261.9999251 + g. What is x rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-2) + 4*10\/(-20))\/(-3). Solve 0 = -j*l + 4*v - 12, 0*l + 4*v = -2*l + 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3*l = 0. Let a be 6\/(3 + -6 + 6). Solve l*g = g + a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -14*m**6\/15 - m**5\/10 - 5*m**4\/2 - m - 2. What is the third derivative of a(p) wrt p?\nAnswer: -672*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139049 plus -0.4?\nAnswer: 139048.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 218123*y - 654369. What is f(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9129 is divided by 4350.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**3\/6 + t**2\/2 - 67*t - 2. Determine x(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -126 + 126 - 35*y**3 + (3 - 3 - 2*y**3)*(4 + 0 + 3).\nAnswer: -49*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from nnliiinnllnnln.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69 - 69 - 3*r**2 - 8*r**2 + 134 to k*r + t*r**2 + d and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -28. Let v = 4052.7 - 4053. Which is the smallest value? (a) v (b) s (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7787880 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44430821.1 rounded to the nearest 10000?\nAnswer: -44430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f**2 - 2*f + (2 - 2 + 1)*(0*f**2 - 5*f**2 + 3*f**2))*(-1404 + 1404 + 32*f)*(-f**2 - 4 + 4).\nAnswer: 128*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-10*11\/(825\/10)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3747*a**2 - 14911*a + 105*a**5 + 14911*a - 106*a**5 + 900*a**6 wrt a?\nAnswer: 108000*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 2*x - 20 = 0, -61*y + 64*y - 5*x = 29 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14 + -9)\/(1 + 0). Suppose -170 = -r*m + 10. Let p be (2\/3)\/(12\/m). Solve 7*t + 15 = 2*t + 3*d, -5*d + 25 = -p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35990 = -7*a + 2*a. Let v be (a - (2 + 1)) + 1. What is v rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*w - 4*w = 6, -2*v + 1 = 3*w. Suppose -v*b + 0*b + 10 = 0. Suppose -69 - 6 = -b*d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 9:18 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/27 + -701\/54. Suppose -77 = 3*n - 62. Which is the second smallest value? (a) g (b) n (c) 3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3113 + -1031?\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(6292)*-2 + -3) + 2)**2.\nAnswer: 3520*sqrt(13) + 402788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilometer in meters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 21*s = -1430. Let q be 88\/s*(-3)\/(-8). Is 0 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -1660 - 26225. Let j = 7936 - w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 19 = 3*b - 186, 0 = 2*b - 4*o - 104. What is the second derivative of b*z**4 + 5*z - z**3 - 43*z - 52*z**4 - 19*z**3 wrt z?\nAnswer: 24*z**2 - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -93. What is the second smallest value in v, 2\/5, 0.04, -1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 27*y + 155. Give p(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455473?\nAnswer: 11, 29, 13967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 5:11 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.47761387 to 3 decimal places.\nAnswer: -0.478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1830*w - 13. Is u(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*f - 4*q, -q + 26 = -f + 3*q. Which is smaller: -9 or f?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 209 = -1881. Let y = 18835\/9 + t. Find the common denominator of y and 55\/(-12) - (-1 - -5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = p - 0*p. Let k = p - -28. Let m = 22 - k. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -992 + 142. Let i = 1836447.757 + -1835597.756617. Let c = i + w. What is c rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 128\/1345 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 219*m**2 + 4305*m + 11025.\nAnswer: 3*(m + 3)*(m + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11457 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (7 - 7) + -25 - -27?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.0516.\nAnswer: 0.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o + 2074 = -40*o + 4*i, -3*o - 2*i + 6172 = 0. Suppose o = 4*r - v, -v + 6*v = 3*r - 1532. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 + 15642419*y\/2 - 7821210.\nAnswer: (y - 1)*(y + 15642420)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 134 = 3*o - 121, 0 = j - 2*o for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1606 = 1417. Calculate the remainder when 235 is divided by o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22851, 22876, 22899, 22920, 22939, 22956, 22971?\n\"Answer: -h**2 + 28*h + 22824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) 24 (c) 1\/6 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 3*r - 21, 0*r - 2*j - 7 = -r. Find the first derivative of -3*x**3 - r + x**3 + 10*x**3 + 2 wrt x.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160951 times 5.8?\nAnswer: 933515.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 34. Solve -5*s + u = 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a day in hours?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 183\/(-6)*2?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140302 is divided by 727?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 s, and 2 m when four letters picked without replacement from {b: 3, s: 1, o: 1, p: 2, w: 2, m: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 21 = -4448*r + 4465*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 = 10712\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -84526*q - 676218. Give y(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (11 - 11 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-68)\/28 - 1)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -111?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 12:02 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/5 + 14\/10 + -1. Solve v*r + 15 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2612468816 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10 - -6)*(0 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63656 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 430 = -120. Let x = 70 - l. Let k be 8\/x + (-12)\/(-10). Solve 0 = -c + k - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -246*c**4*f + 8*c**4 - 34*c**3*f - c**3 + 15*c**2*f + 15032*c**2 - 2*f + 5 wrt c.\nAnswer: -5904*c*f + 192*c - 204*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 5*c + 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 15 - 2*z - 19)*(z - 2 + 2)*(z - 4*z + 2*z)*(-4*z + 6*z + 2*z).\nAnswer: 8*z**4 + 324*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11335308 - 4.7861\nAnswer: -11335312.7861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17326*i - 2612102 = -1769*i - 702602 for i.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84630 - -84629.7. Let o(t) = t**2 + 1. Let m be o(-4). Which is the third smallest value? (a) m (b) h (c) -1\/6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -517 - -526. Does 5 divide (268\/28 + -1)*42\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*(-9)\/(-12))\/((-21)\/7)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -3)*-1 - -4. Suppose n*d + d - 20 = 0. Suppose 4*u + 2*i + 50 = 6*u, 0 = d*i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3657*r**2 + 7286*r**2 - 3627*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**4\/4 - 5*q**3 - q**2\/2 + 16*q + 820. What is w(-15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 34. Suppose 8*z + 1 = 17. List the prime factors of ((-150)\/l)\/(z\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -5428370.\nAnswer: 5428370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51728?\nAnswer: 2, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 30 = 4*n, x = 4*n + 4 + 2. Let s(v) = -v + 2. Determine s(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 3*j**2 - 1196*j**3.\nAnswer: -1196*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/3 + 40*c**3\/3 - 236*c**2\/3 + 344*c\/3 - 50 = 0. What is c?\nAnswer: -25, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 7*i**2 + 30*i + 5. Let j be f(10). Suppose -2*h - 1798 = -j*z + 2*h, -3 = -h. What is z rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 6) to base 14\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71447.\nAnswer: 37, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -73612*k. Let i(m) = -26*m**2. Calculate i(v(t)).\nAnswer: -140886890144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1534, 1598, 1682, 1792, 1934, 2114, 2338?\n\"Answer: d**3 + 4*d**2 + 45*d + 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-290)\/(-90) + (-4)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 11*p + 15. Let y be v(10). Which is bigger: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1278 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (sqrt(5) + -1 + sqrt(5))**2)*-3.\nAnswer: -270 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5739478118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70847 = -26*r + 527835 - 137338. What are the prime factors of r?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 7.5.\nAnswer: -82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 8*i**3 + 3*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 122*q**3 - 9*q**2 + 25*q - 9. Let y(a) = -121*a**3 + 8*a**2 - 24*a + 7. Let z(t) = 6*r(t) + 7*y(t). Find the second derivative of z(x) wrt x.\nAnswer: -690*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 321680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 15 = -4*m + 5, -m + 5 = -3*d. Suppose -m*y + y + 8 = 0. Let r be (-2)\/y*(-2 - -3) + 1123. Round r to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12754 less than or equal to -12754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 36 = 3*b + 2*b, 2*h + 3*b - 18 = 0. What are the prime factors of (-1*h)\/(-1) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1285678378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 13. Suppose -m*l + p = -3, -5*l + 6 + 29 = 3*p. Let x(d) = 5*d. Let i be x(l). What is the greatest common factor of i and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -653, -1322, -1991, -2660, -3329?\nAnswer: -3998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -e5a?\nAnswer: e54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 4. Suppose -5*w = -14 - j. Let r = 0.4 + -0.8. Which is the closest to -2\/5? (a) w (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = f - 3*d, f = 5*d - 7. Suppose -5*i + 2 = -f. Solve -4*m - 4*t = 7 + i, 0 = -5*m + 5*t - 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d*x**3 - 273*d - 7*x**4 - 4*x**2 - 4 wrt x?\nAnswer: 12*d*x**2 - 28*x**3 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 65. Let q be (2\/5)\/((-1)\/(-10)). Suppose k + k = -q. Put j, -5, k in decreasing order.\nAnswer: j, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v + 3*v - 5*v**2 + 0 + 8 + 7*v**3. Let r(w) = w**3 - w**2 - w + 1. Let j be 1\/12*15*4. What is j*r(c) - b(c)?\nAnswer: -2*c**3 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39074003.\nAnswer: 157, 248879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2213131121 (base 5) in base 16?\nAnswer: -4982fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -67. Sort c, -4\/5, 2.\nAnswer: -4\/5, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 3*o + 15, 6460*l + 30 = 6465*l - 6*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5308317 divided by -252777\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*i**3 - 70*i - 12*i**2 + 13*i**2 + 2*i**5 + 365*i - 22*i**3 wrt i.\nAnswer: 40*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*x + 5*i + 38, 0 = -3*x + 2*i + 60. What is the lowest common multiple of 26 and x?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 139361135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20216, 80856, 181930, 323438, 505380, 727756?\n\"Answer: 20217*r**2 - 11*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -25. Let p = 0.03 + -0.23. Which is the third biggest value? (a) h (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 834 divided by -278\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -5401?\nAnswer: -5410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = -3*a + 32, 0 = -5*h - a - 21. Let i = -1 + 6. Let j = i + h. Is j equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 19*h - 15. Let i = 28 - 17. Is u(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 457 (c) -28 (d) -4 (e) 5 (f) 224\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -174572?\nAnswer: -174573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**3 + t**2. Let o be x(-1). Let c = o + 7. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1474 + -1589.95. Let l = 116 + b. Is 10 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*(-12)\/(-36) - (31 - (13 + -1)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u + 78. Suppose m + 62 = 4*k, -m - 233*k - 83 = -234*k. Let r = u - m. What is the greatest common factor of r and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 3641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.243378 rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*u - 4*k, -8 = -k - 7. Let p = u - -192. List the prime factors of p.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7221.6 - 7222. Let w(h) = -h**3 + 12*h**2 + h - 16. Let i be w(12). Let g = -0.5 - -1. Put i, g, j in descending order.\nAnswer: g, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 3, i: 5, t: 5, b: 5, v: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 20*p + 53. Calculate h(9).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -19*l - 1. Let v be (-30)\/(-12)*12\/15. Let o(z) = -20*z. Let t(n) = v*o(n) - 3*a(n). Find the first derivative of t(r) wrt r.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*(v*v**(2\/13))\/v)\/(v\/(v\/v**(-3\/5)))*(v**(-1))**42*v\/v**(2\/5)*v*v*v**(-3\/5)*v*v*v\/v**1*v**(4\/9)\/v assuming v is positive.\nAnswer: v**(-20944\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8313526ns in seconds?\nAnswer: 0.0000000008313526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*v - 5*i, -2*v + 0*v - 3*i - 22 = 0. Let a(o) = -o**2 - 14*o + 1. Let l be a(v). Solve -3*t + 16 = l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1400*x**2 + 76615 - 76615 + (6 - 2 - 2)*(5*x**2 + x**2 - 2*x**2).\nAnswer: 1408*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314796 is divided by 14308?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9580202 and 787456?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -304 - -304.00000254. What is s rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 56, 5, 531, -154 in decreasing order.\nAnswer: 531, 56, 5, 3, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 8*l - 5. Let a be d(-6). Suppose -5*i + 30 = 4*t, 4*i - 58 = -t - 67. Which is bigger: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 3 - (-11 - -2)*-1. Let u be (38\/6 + -1)*r\/(-4). What is u rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in 3, 4, -28, 4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -32164.\nAnswer: -1\/8041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + (-181770)\/(-18) + (-35)\/15?\nAnswer: 3, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 132\/13, -0.5, -0.2, 1\/2, -2\/25, -16\/9?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 14. What is q(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -145 and -0.035.\nAnswer: 5.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((1*sqrt(33))\/sqrt(11)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 8:49 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/6359 + 12728\/31795. Which is smaller: w or -2.0405?\nAnswer: -2.0405","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*t - 21728, -4*b + 9315 = 3*t - 7006. Suppose -5*z = -10*z + t. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4346282, 8692597, 13038914, 17385233, 21731554, 26077877, 30424202?\nAnswer: 34770529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n. Let r(g) = 328*g - 95. Let c(z) = -55*z. Let l(b) = -6*c(b) - r(b). What is l(a(j))?\nAnswer: -4*j + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0.5 (c) -1106.1425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/10 and -74\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 2*d**2 + 2*d. Let r(c) = -11*c**3 - 16*c**2 - 17*c + 5. Let l(y) = r(y) + 6*u(y). What is l(6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 21*i**2 + i + 25. Let z be o(-21). Suppose l - z = -2. Let x(d) = -2*d - 4*d + 2*d - 3*d - 1. Give x(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*c + 4, -2*c + 2 = -c - 2*x. Suppose c*o + 0*o + s - 46 = 0, 3*s = -3*o + 72. What is the lowest common multiple of 12 and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 13*n + 876. Let f = -50 - n. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 2, d: 1, f: 2, p: 1, s: 1}. What is prob of picking 1 d and 1 r?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48476089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 5*z**3\/3 + 35*z**2 + 75. Factor l(b).\nAnswer: 5*b*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -425 (base 15) to base 5\nAnswer: -12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(2*-1 - -4). Suppose 3*j - 16 = -4*y - j, -j = -2. Suppose o - 7 = y*r, -i = 5*o + 4*r - 8. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 950?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 8*o**2 + 7*o + 3. Let h(n) = 6*n**3 + 2*n**2 - 2*n + 1. Let u be h(1). Let g be i(u). Suppose -70 = -g*s - 7. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f. Let j(n) = 2*n**2 + 11*n + 8. Let s be (-5)\/(-1 + -4) - 6. Let z be j(s). Let p(x) = -17*x**2 - 3 + 0 + z. Calculate p(i(h)).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23, -93, -209, -371, -579, -833?\n\"Answer: -23*l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945901040.\nAnswer: 2, 5, 7, 1689109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/317166 and -32\/2167301?\nAnswer: 13003806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 475*v**2 - 2*v + 2. Let d(z) = -z**2. Let b(a) = 2*d(a) + s(a). Let q be b(2). Suppose 5*c + u = q, 3*c + 0*c + 5*u = 1156. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cb0 (base 15) in base 6?\nAnswer: 44520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = y + 1. Let a(g) = 6*g + y*g - 2 - g. What is the smallest common multiple of a(2) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 54*o + 22610 = 0. Let x be (-104)\/90*o\/(-38). Is x less than or equal to -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 7*p**2 + 9*p + 3. Let z be j(8). Suppose 66 = -10*n + z*n. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-5876)\/104)\/(-113))\/(-7)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5191 + -68?\nAnswer: -51f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 12*v + 6. Let m be p(-11). List the prime factors of (m - (-7 + 4))*-364.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2242309*c**2*h**2*u**3 + 8*c**2*h**2 - 2*c*h**2*u**3 - 4085*c*h**2*u**2 + c*h - h**2*u + h**2 + h*u**2 + 219*u**3 wrt c?\nAnswer: -4484618*h**2*u**3 + 16*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*6.29.\nAnswer: -1.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-116 + 116 - 29*m)*(949 + 464 + 52) to g + x*m and give x.\nAnswer: -42485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19333, 19334, 19335?\n\"Answer: f + 19332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 11 = -q + 5*g, 0 = g - 4. Suppose -3*f + 13*f + 350 = 0. Let o = q - f. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sks when three letters picked without replacement from sllllllkkklsl.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h. Let l(w) = -w**2 - 3*w + 2. Suppose 6*a = 3*a - 3. Let x be -1 + (a - -1) + -3. Let y be l(x). What is f(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*y + 7 = -y, -2*y = -5*u - 23. Let g = 22 + -26. Which is the fourth biggest value? (a) -1 (b) 4 (c) g (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-26) - 2724\/1144 and -67\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z + z**3 - 1313*z**2 - 4 + 1329*z**2 + 18*z - 9. Let o be u(-15). Solve -3*h - o*h + 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 - -89.4. Let k = 0.02 + -0.32. Which is the third biggest value? (a) k (b) d (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 5*b**2 - 7*b + 5. Let d be z(6). Let h(m) = -7*m - 1. Let f be h(-5). Let i be f\/(-36) + 3\/6. Which is smaller: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t - 4*t)*(1 - 16 + 6)*(-3 + 3 - t + 2*t**3).\nAnswer: 18*t**4 - 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623472 is divided by 489.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -0.3 (c) 6 (d) 11 (e) 3242\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.096 - -12559.\nAnswer: 12558.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 10:01 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001921 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253856857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -31\/55?\nAnswer: -31\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32901029?\nAnswer: 7, 37, 127031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.21 + 0.035. Let k = 0.056 - -0.579. Let o = k - i. What is o rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/980*91 + 4\/(4\/(-5)) and 109\/3984.\nAnswer: 27888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 86, -3194, -3, 2\/13?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95644*j**4 - 63648 with respect to j.\nAnswer: -382576*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/693 and -10\/43659?\nAnswer: 43659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/18 and 149\/107333190.\nAnswer: 107333190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j + 108. Suppose -2*i + j = 5*l - i, 10 = 4*l - 5*i. Suppose -3*c - 15 = -0, 4*c + 8 = 2*m. Sort 1, m, l in descending order.\nAnswer: l, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert dd36 (base 14) to base 11.\nAnswer: 2682a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 4*x - 2. Let f be g(-2). Suppose -12 = 4*d, 2*s - 24 - 9 = -d. Let t be (-4)\/s - 152\/(-36). Calculate the highest common factor of f and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 4 + -4)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1910 - 864. Does 73 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 743905 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000 - 1101111?\nAnswer: -10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 1, -2\/9, -1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5585728.4699942 + -5585729. Let i = 0.53 + k. What is i rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(20 - 1 + 3)*(4*x - 5*x + 3*x).\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/23 - -83\/69. Factor 4\/3*s - 4\/3*s**2 - 4\/3*s**3 + l.\nAnswer: -4*(s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 - -55. Let x be (0 - 16\/(-42))*(-33)\/z. Which is the second biggest value? (a) -5 (b) 4 (c) 0.5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 8*f**2 + 7*f - 15. Let i be a(-9). Find the second derivative of 20*l**i + 17*l + 156*l**2 - 156*l**2 wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/143 in 66, 64, 4\/7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -3*j**8\/56 - 51*j**7\/14 + 25*j**4\/12 - 9*j**2\/2 - 462*j + 1. What is the third derivative of p(o) wrt o?\nAnswer: -360*o**3 - 9180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2 + 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*v + 9, 3*s - 5*s + 11 = 3*v. Suppose -33 = -3*i - 3*m, -i - v*i + 39 = 5*m. What is the remainder when i is divided by 4\/(-4) - (0 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/75054 and 36\/12509?\nAnswer: 75054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10034638 is divided by 213?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -2 - (17 - ((4 - 25) + 4)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -0*c + 4. Sort c, -1, -5.\nAnswer: -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let j(l) be the first derivative of 71*l**3\/3 - 47. Determine r(j(b)).\nAnswer: 142*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2. Let m(d) = -d**3 + 7*d**2 - d + 13. Let t be m(7). Suppose -18 = -3*b + t. Let h(y) = -b + 34*y + 8. Give q(h(f)).\nAnswer: 1156*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 3*k - 4. Let q(b) = b + 8. Let v be q(-11). Let o be t(v). Let j = 55 - o. Solve m = 5*p - j, 2*p + m = 8 + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1128, 1197, 1266, 1335, 1404?\nAnswer: 1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 0.1. Let s = -4.9 - -5.9. Suppose 0 = 4*l - 12, -4*t + t + 5*l - 33 = 0. What is the nearest to x in t, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*n - 21 = -2*s - 25*n, n = s - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 2*q - q + (72 + 50 + 145)*(2*q + q - 2*q).\nAnswer: 266*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -71. Let y be (t\/24)\/(21\/12 - 2). Let f(w) = 0*w + 6 + 13*w + 2*w**2 - 5*w. Give f(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2) + -4 + sqrt(2) + -1*sqrt(2)*-4)**2 + (-4 + -5 + -2 + sqrt(2) + sqrt(2))**2*-6 + -5.\nAnswer: -682 + 204*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187150 and 5350.\nAnswer: 20025050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 553.8 + -554. What is the fourth smallest value in 2\/3, -0.03, s, -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530649666 a multiple of 2866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6300)\/(-1050)*(-70)\/1344.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) -4 (b) 0.05 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/10*(1 + 0)\/9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*l = 11, -26 - 8 = -2*d - 3*l. Let t = d + -20. Solve c + t*q - 10 = -c, -2*q = c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - 342\/(114\/(-6)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - o + 41. Is 10 a factor of z(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:29 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 176050.9 times -2?\nAnswer: -352101.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*n**2 + 20*n**2 + 30*n**2)*(5 - n - 5) as p*n**3 + z + m*n**2 + s*n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(95) + 2*sqrt(95)))\/((sqrt(50) + sqrt(450) - sqrt(50))\/sqrt(10)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*m - 3*m**3 + 7*m**3 - 107*m - 35*m**2 + m**3.\nAnswer: 5*m*(m - 9)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.8, 3\/5, 38.7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + 20)\/3 - -1. Suppose 0 = 19*u - 5 - 52. Solve -4 = -2*q - 2*k, 0 = -0*q - u*q + 2*k - l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240135 = a + 12365. Round a to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40120 by 340.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.011 and 10.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13912 and 17390.\nAnswer: 69560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 5. Let q(s) = s**2 + 10*s + 15. Calculate the remainder when 31 + o + (-3 - -1) is divided by q(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*d - y, 3*d - 5*y - 13 = -1. Let o be (0 - 6)*(7 + 81\/(-9)). Suppose 4*q - 10*q + o = 0. What is the least common multiple of q and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/129580 and -29\/415.\nAnswer: 10755140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 143*i**2 - 2024*i + 2159. Determine u(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 4*l - 41 = 0, -11*l + 592 = -0*b + b + 576 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 0*v + 0*v + (-3 + 8 + 11)*(5*v**3 - 3*v**3 + 0*v**3) to the form k*v**3 + z*v + q + h*v**2 and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(g - 3*g**4 - g) - g**4 + g**4 - g**4 as y*g**4 + z + j*g**3 + l*g + p*g**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741528819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149*m**4 - 10*m**3 - 172*m**2 + m - 2.\nAnswer: -3576*m - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 + 0.55. Let f = m - 0.3. Let k be (0 - 1) + 20\/3*162\/270. Which is the nearest to 1? (a) k (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160032 by 6.\nAnswer: -26672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/(16\/(-6))*(-852)\/(-141219)*-13.\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112 - 116. Put 2, -3, c, 5 in decreasing order.\nAnswer: 5, 2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 441755.7328?\nAnswer: 441754.7328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 55. Let x be p(0). Suppose -72*u = -58*u - 770. Calculate the highest common divisor of x and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 534 = h + 157, p - h - 127 = 0. Solve -36*l = -15*l + p for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87395389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 - w**3 - 3*w**3 - 3*w**2 + w**2 to n + x*w**3 + o*w + h*w**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c8 + 2?\nAnswer: -3c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) - (sqrt(833) + (0 + sqrt(833))*-1) - (sqrt(833) + (sqrt(833) + -3 + sqrt(833) + sqrt(833) - sqrt(833)) + -5))*-6 + 5)**2.\nAnswer: -7224*sqrt(17) + 121801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1700)*-2 + sqrt(1700) + 4*(sqrt(17) - sqrt(34)\/sqrt(2)))**2*3.\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p. Let c(g) = 35*g. Let b(d) be the first derivative of -2 + 0*d + 0*d - 28 + 6*d**2. Let j(m) = 8*b(m) - 3*c(m). Give h(j(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 450559334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.7 - -8. Let n = 0.7 + -1.5. Let h = n - l. Which is the nearest to h? (a) 4 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 u, 1 d, and 1 k when four letters picked without replacement from dadvcauk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomqo. What is prob of picking 3 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 9. What is the least common multiple of n and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = -5*x + 528. Let q be (x\/(-28) - (-4)\/28)*-3. Let a(f) = -f**2 - 4*f - 2. Calculate a(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179189 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5a3a (base 13) to base 7\nAnswer: -52045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2 + -202 + 194 + 489\/49.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 423080938 to the nearest one hundred thousand.\nAnswer: 423100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 222 + g + 223)*(1 - 5 + 5) as k*g + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*j**2*t - 94935371*j**2 - 131*j*t - 313912 wrt j.\nAnswer: 6*t - 189870742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i + 150. Let l be w(24). Let o(x) = 8*x**2 + 1. Let a(p) be the first derivative of -5*p**3 - 2*p - 1. Calculate l*a(g) + 11*o(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2430, -4861, -7292, -9723, -12154, -14585?\n\"Answer: -2431*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:37 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 7*j**3 - 11*j**2 + 5*j.\nAnswer: -j*(j - 5)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1929\/7 + 275. Let h(q) = 13*q - 106. Let z be h(8). Which is the fourth biggest value? (a) -0.4 (b) o (c) -4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 16*o - 16. Give w(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115.9 + -116. Put -2\/9, 9, 1, r in descending order.\nAnswer: 9, 1, r, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 4*x + x. Suppose -2*g - x = -6*g. Solve 3*a - 8 = g*p - 38, -40 = 5*a - 5*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 + 90.19.\nAnswer: 167.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 c when three letters picked without replacement from {v: 1, d: 2, k: 8, u: 1, t: 1, c: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 - d - 1. Let r(u) = -11*u**2 + 3*u + 3. Let v(f) = 6*a(f) + 2*r(f). Let p(n) = -1690*n. Calculate v(p(y)).\nAnswer: 5712200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 4, n: 1}. Give prob of picking 1 q and 1 e.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 202672927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -198 (b) 2\/7 (c) -3\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-206)\/(-4)*(96 - 94). What is the highest common divisor of g and 1133?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*-2*sqrt(432)*-3)**2 + (sqrt(432) + sqrt(432) + -1 + sqrt(432))*6 + ((-1 + sqrt(432))*-3)**2 + -3.\nAnswer: -720*sqrt(3) + 19465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i + 196. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 5*b**2 + 2*b**2 + 8*b**2 + 5*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 20*g**2 - 53*g + 55. What is a(17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*m**3 - m**3 - 2*m**2 - 8*m**3 + m**2 as q*m**3 + b*m**2 + l*m + c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 4 (b) -4 (c) 128 (d) -1 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/756 and 107\/4320.\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3777 divide 4689640287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-65)\/(-25) + (-6)\/10. Solve k*l + 6*d - 3 = 2*d, -3*l + d = 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 7*t + 9. Suppose 5 = -2*d + t. Let a = 7 + -4. Solve -5*v + 15 = 0, 0*s - d*s - v = -a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 949247 + 7708.\nAnswer: 956955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/5 + 6716*c**3\/5 - 92714*c**2 + 2142200*c - 16440000 = 0.\nAnswer: 20, 25, 3288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.07, 0.47, -1\/8, -0.041, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j - 107. Let h be o(9). Let m = -401\/3 - h. Let b = -0.02 + -0.38. Sort 1\/4, m, b in decreasing order.\nAnswer: m, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**7\/630 + 27*o**4\/4 - 27*o - 2. Let l(v) be the third derivative of y(v). Factor l(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 0) + (-58 - -9). Is 5 a factor of b\/(-10) + 10\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*w**4 + 45*w**4 - 85*w**4)*(14 - 8 - 8) as s*w**4 + v + i*w + l*w**2 + z*w**3 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4286*c - 8577*c + 4293*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*o - 38*o = 50*o - 126 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1657*n + 3235*n - 2220*n)*(-4*n - n + 4*n) as k + d*n + f*n**2 and give f.\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 44. Suppose 0 = 4*x + x - i. Solve -5*c + x = -12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3*t + 2*t + 8, 0*p + 2*p = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53605147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 2, 0.\nAnswer: -99, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544053 - 77328 = 75*b. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 73.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4545)\/2099790)\/(4\/(-14))?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-234)\/65 - (6\/(-15))\/(-1). Which is the fourth smallest value? (a) 31 (b) 1\/3 (c) s (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 240 + -240.09. What is the closest to 0.2 in 1, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 229 - -255489?\nAnswer: 255718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = -s, -4*s - 3*m - 25 = 2*m. Let w be ((-1)\/1 - s) + (-16 - -14). Solve 4*n = w*n + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 2*m**2 + m**3 + m - 4*m**2 + 2 + 6*m**2. Let r be h(-2). Let l = r - -27. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -80, -5, 1\/3?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-9)\/6))\/((10 - 17) + (-93)\/(-9))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/77 and -5\/99.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -254.3037440255+-0.9\nAnswer: -255.2037440255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 599, 600, 601, 602, 603?\n\"Answer: l + 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -421 - 20?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30518039 is divided by 5411.\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 764*l**7\/21 + 5*l**4\/4 + 7*l**3\/3 - 4*l + 57. What is the third derivative of s(f) wrt f?\nAnswer: 91680*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3854 and 4?\nAnswer: 7708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 1\/2 (c) -19 (d) 1 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5104284 divided by -1572?\nAnswer: 3247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -259? (a) 2\/175 (b) -2\/3 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 7, s: 2}. What is prob of sequence usuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.04? (a) -1\/51 (b) -3\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 4:43 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1855465068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 4. Suppose 6*l - 25 = 2*l - r, 3*l - 4*r = 14. Let d be t(l). Solve -y - y = d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Let s = -6.85 - 0.15. Let h = n + s. What is the third smallest value in h, -1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1494?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3648 = -4*k + 3637, 3*g + 3*k - 12 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 363.8128mg in grams?\nAnswer: 0.3638128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 14*z - 4. Suppose 0 = z*o - x - 195, 270 = -0*o + 5*o + 4*x. Let y = o + -49. Solve 2*k - y + 3 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w + 41*w + 32 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 - b - 1. Let w be r(-1). Suppose y + z - 37 = -z, w*z - 12 = 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 7}. What is prob of picking 2 z?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 9*x = 4. Let s(t) = -t**3 - 5*t**2 - t - 7. Let p be s(-5). Is x equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 157 * -3.019.\nAnswer: -473.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 1 = 5, -23 = 3*h + 4*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99153.49 years to months.\nAnswer: 1189841.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3735)\/6225)\/(2\/20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 + 37988a?\nAnswer: 379866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 75034?\nAnswer: -3\/75034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 6*r**2 - r - 1. Suppose -4*d = -5*v - 7, -9*v - d = -5*v + 14. Let t be i(v). Solve -n + 4*n + 11 = -t*y, 8 = -y - 4*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 537*c**2*v**2 - 8852*c**2*v - 6326320*v**2 wrt c?\nAnswer: 1074*c*v**2 - 17704*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*u, 4*b = 2*u - 5 - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -542 by 2.\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-20))\/((-42480)\/708)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118795333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.5, -0.5, -3.905?\nAnswer: -3.905","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -9745678.\nAnswer: -3\/9745678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164407*r**2 + 44387*r.\nAnswer: -328814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839371?\nAnswer: 13, 64567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3748*p + 29. Let v be t(14). Let m be (-45006)\/(-5) - (-2)\/(-10). Suppose -5*l - v = -h, -1495 = l + 4*h + m. Round l to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*(sqrt(1900) - -4*sqrt(1900)*2 - (sqrt(1900) + 0 + sqrt(1900) + (sqrt(1900) + (sqrt(1900) - -2*sqrt(1900) - sqrt(1900)) - sqrt(1900)))))**2.\nAnswer: 760000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -w + 186, 3*w = 2*a + 594 - 20. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40\/70 - ((-2)\/(-14))\/((-2)\/131564)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -148. Which is the smallest value? (a) 2\/3 (b) 2\/35 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -164*a**3 + 13*a**2 - 11*a - 37. Let d(u) = -81*u**3 + 6*u**2 - 5*u - 18. Let g(j) = 13*d(j) - 6*k(j). What is the second derivative of g(i) wrt i?\nAnswer: -414*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 5*n**2 - 16*n - 1\/20*n**5 + 0 + 13\/6*n**3 + 5\/6*n**4. Does 16 divide q(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/((l\/(l**3\/l))\/l*l))*l\/(l*l**(1\/10)*l))**(-49)\/((l**(-2\/5))**40)**(-1\/13) assuming l is positive.\nAnswer: l**(13217\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8 and -0.6?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a micrometer in nanometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30 = 5*a, v - 45 = -a - 4*a. Solve 2*b + 8 = -2*b + 3*r, 5*b - r = -a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 d, and 1 w when four letters picked without replacement from wdowddoo.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/1018 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -4, -53065 in decreasing order.\nAnswer: 27, -4, -53065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*6 + (-12)\/16*-4. Let x be (500\/g)\/2 + (-6)\/9. What is the highest common factor of x and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from xkpukqukk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8720\/14)\/(-2) + 51\/119. Let i = 314 + h. Solve i*f - p + 12 = -2*p, 2*f + 5*p = 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7885155 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.3672\nAnswer: -0.11016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, z: 2, h: 2, w: 2}. Give prob of sequence whz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 8 = 3*o, -66 = 5*y + 3*o - 38 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s + 2. Suppose 5*q + 1 = 11. Let y be l(q). Is 2 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/74719 - 2765493\/33249955. Let r = 31369\/18690 + b. Find the common denominator of r and -34\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74198683711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(12\/9) - (-102)\/(-3). Let a = 1 - m. Let c = a - 21. Solve -2*t = -3*h - 2*h - 26, c = -t - 5*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = 2*a. Suppose a = 6*b - b - 50. What is the remainder when 49 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 t when four letters picked without replacement from {h: 1, t: 10, r: 4, b: 3, n: 1}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 6*b = 0. Let f be ((b - 2) + 0)*-1. Suppose 0 = 2*l + 4*v - 56, f*l + 32 = 3*l + v. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let h(m) be the third derivative of -m**4\/3 + 18*m**2. What is r(h(b))?\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 13. Suppose 4*s - 7*s = x*m - 24, -m = -5*s + 63. Suppose -5*i + s = -i. Sort i, 4, -1 in decreasing order.\nAnswer: 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.031261ms to nanoseconds.\nAnswer: 2031261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Suppose 10 = 5*q - w*c - 9, 2*q + 2*c + 2 = 0. Suppose -1 = -h + 2, -l + 2*h - q = 0. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w - 16*w + 35 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 137394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/6 + (-5 - 124\/(-24)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 18*n**2 - 7*n. Let a(m) = 36*m**2 - 14*m. Determine -3*a(y) + 5*v(y).\nAnswer: -18*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159, -163, -153, -123, -67, 21, 147?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuiu when four letters picked without replacement from iuuiiiiu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -11*q. What is the units digit of z(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000739044 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26321916 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10537 = 34*t - 4015. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -38, -76, -128, -194?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.006 + -10.006. Let j = 10.121 + 0.079. Let w = j + -10. Which is bigger: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*c - 21, 4*c + 465*l - 464*l - 11 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -554 (b) 4 (c) 0.4 (d) 2 (e) 0.1 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 190 and 263 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 + 44 = 5*c. Suppose -m = -5*h - c, -3*h - 26 = -0*h - 5*m. Let o be -1 - 0 - (2 + h). Solve -o*g = -3*g + 5, -2*v = -g - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 6. Suppose 33 = z + 4*i, 0*i - 3*i = 5*z - 97. Suppose 0 = -a + z + o. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(7)*2))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*b = -100*b + 80*b. Solve -16*z - 2 + 50 = b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 5*t + 60 + 95 - 135, 4 = -5*u + t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:46 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3382 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -349*b - 20. Is t(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138201969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -1990565 = -1990564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 167, 22, -5, 3 in ascending order.\nAnswer: -10, -5, -3, 3, 22, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118924, -237845, -356762, -475675?\nAnswer: -594584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-5))\/((-72)\/(-30) - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 7:21 AM?\nAnswer: 272","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 4896148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ddddddddddccdddddd?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**3 - 17*j - j**3 - 4*j - 2*j**3 wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 16\/(-24))\/((-330)\/(-4554)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 9:23 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyssyfbbffyssyybss. What is prob of sequence byb?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 688032 and 39217824?\nAnswer: 39217824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342496987.\nAnswer: 7, 269, 181889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 60 = 4*i, -i + 5*z - 3 = -34. Put 12, 3, i in decreasing order.\nAnswer: 12, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/21 and -47\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3 - 3)*(1 + 1 - 6)*(-4 + 0 + 3) - 12*t - 11 + 11.\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14780 by 5.\nAnswer: 2956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101075?\nAnswer: 5, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 8, i: 7}. What is prob of picking 3 i and 1 n?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 4. Let u = -18 + 16. Is p greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/12)\/(21\/((-1050)\/(-25)))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d - 4 = 0. Let s be (d - -1) + 8\/4. What is the third derivative of -2*p**2 - 6*p**4 + 8*p**4 + p**s wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 5. Let f(t) = 5*t**2 - 2*t - 1. Let w be f(-2). Let b(i) = i**3 + w*i - 23*i + 2. What is -8*b(o) - 3*n(o)?\nAnswer: -2*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04625 to 3 decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l - 10*l - 24 + 20*l. Let y be d(-7). Solve -v + 12 = 3*o, y*o + v - 2 = 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29566 + -29445.57. Let t = k + -121. What is t rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -2*(-77)\/(-2). Let u = 76 - a. Let n be (-8)\/u - (3 + 1). Put -1, n, 2 in descending order.\nAnswer: n, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 4640*l**4 + 16*l + 1776*l**4 + 8 + 2 + 1770*l**4 wrt l?\nAnswer: -13128*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**5 - 3265*p**4 + 521360*p**3 + 3837900*p**2 - 4356000*p = 0.\nAnswer: -8, 0, 1, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -100101001111000000110 (base 2) to base 16\nAnswer: -129e06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.1 - 24. Is 5 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*j - 70 = -3*u, 3*u = 2*j + 46. Suppose -3 - 7 = -c. What is the remainder when u is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1717278618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003621 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/(f\/f**0)*(f\/f**(-4))\/(f*f*f\/(f\/(f*f**(-2\/21))*f*f)*f))**(-37\/4) assuming f is positive.\nAnswer: f**(-2405\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 91*k - 1. What is the tens digit of p(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 2*p + 32 - 12.\nAnswer: -2*p + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20870619127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -26*w**2 + 4*w + 8*w + 25*w**2 + 7. What is the units digit of o(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 7*d + 4. Let s be a(0). Solve 5*h - c - 14 = 15, s*h = -4*c + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -86*t + 267. Let g be z(-22). Let v = g + -2157. Factor -9\/2*j - 15\/4 - 3\/4*j**v.\nAnswer: -3*(j + 1)*(j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72791*x + 218377*x - 16*x**3 - 72793*x - 72793*x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*o = 10, -a + 45 = -6*a + 5*o. Let y(t) = 13*t - 498. Let f be y(38). Let j(s) = -s + 2. Let w be j(-2). Put a, w, f, -6 in decreasing order.\nAnswer: w, f, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 193 = 4*x. What is the remainder when x is divided by (-45)\/(-2)*(-2 - (-126)\/45)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 29*z + 62*z - 10 = 0 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 5\/111 (b) -0.4 (c) -5 (d) -1.1 (e) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t - 0*t. Suppose -t*l + 15 = l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356706?\nAnswer: 2, 3, 7, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*a + 15598 + 45378 = 0 for a.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-7)*82716\/(-10848)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 355939847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q - 211 + 34 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 5 - 9)*(-4*w**5 + 2*w**5 + w**5).\nAnswer: -13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - 3*n - 1. Let y be j(2). Let w be y\/12 + (-182)\/8. Round w to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -87 - -82 - (-8 - (-5 + -1 + 11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (116\/145 + 4\/(-10))\/2. Factor 6\/5*d - w*d**2 + 7\/5.\nAnswer: -(d - 7)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -783 - -1303. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3970, -4 in decreasing order.\nAnswer: 4, -4, -3970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 not equal to 100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*m = 717*m - 8785 - 2135 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 473\/(-559) + -2*(-5)\/(-65). Let g(n) be the first derivative of -2*n**4 + n**3\/3 + n**2 + 2*n - 19. Give g(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -589068124, -589068122, -589068120, -589068118, -589068116, -589068114?\n\"Answer: 2*p - 589068126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 2*w**3 + 0*w**3)*(-2 + 86*w**2 + 99*w**2 - 223*w**2).\nAnswer: 38*w**5 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -370270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 339 divided by -8\nAnswer: -339\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*a + 3264 = 336*a. Calculate the highest common divisor of a and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -14, -0.3, -3\/4, 0.0093?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -229\/3. Let n = -22.1 - -25.1. Let m = 0.285 + 0.015. What is the nearest to 0.1 in n, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 10*a**2 - 12*a. Give s(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2059375?\nAnswer: 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3776*c*m**3 + 3*c*m**2 + c*m + 3*c + 196*m**3 - 5590*m + 89 wrt m?\nAnswer: -22656*c*m + 6*c + 1176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 2\/9 (c) 2\/5 (d) 0.03 (e) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 603 - -2011501?\nAnswer: 2012404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 1:30 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(6)\/(sqrt(3)*1)))**2 + (-2*-1*sqrt(228))\/sqrt(12) + 2.\nAnswer: 2*sqrt(19) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156.81 rounded to the nearest integer?\nAnswer: -1157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 336\/227419?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 divided by 685474?\nAnswer: -83\/342737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzfzzzfzff. What is prob of picking 1 z and 2 f?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*o + 146*o = -100. What is the highest common divisor of o and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**(-26) assuming m is positive.\nAnswer: m**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 747941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -1 - (-2)\/(-2). Sort v, 4, -0.03 in ascending order.\nAnswer: -0.03, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 22\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 8*p + 10. Let q = 25 - 15. Is a(q) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5145 and 710115.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671761 is divided by 3127?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(2850\/(-57))*5\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 53*j - 253. What is t(6)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6346*z - 63483. Give c(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q**3 - 3*q**2 - 2*q - 1. Let i be x(-2). Sort -3, -4, i, 4.\nAnswer: -4, -3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/3? (a) -2\/13 (b) -2\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 24*q - 5*x + 38 + 7 = 0, -34*q + 5*x - 175 = 11*q + 165 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -294 divided by 42.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:47 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 5. Let j be c(-6). Let y be ((-6)\/4)\/(1\/(-2)). Let i(d) = 5*d**3 + d**2 - 2*d + 1. Let s be i(1). Put y, j, s in descending order.\nAnswer: s, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m - 4. Let w(r) = 0*r - 3*r + 1907 - 1902. Let v(l) = -l**3 - 4*l**2 + 3*l - 6. Let t be v(-5). Give t*p(a) + 3*w(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3214, 12238, 27282, 48352, 75454, 108594?\nAnswer: 147778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p + 1745 - 15652 = 19124. Calculate the greatest common factor of 232 and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102285 and 40680?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12320033001 - -10?\nAnswer: 12320033011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34404840 by -12.\nAnswer: 2867070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 298196 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -1, 5, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) 3\/37 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4685 and -26.\nAnswer: -12.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 10*u**3 + 8. Let l be 25\/4 - (-4)\/(-16). Suppose -2 = -4*c - l. Let d(m) = -m**3 - 1. Give c*r(n) - 8*d(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -26*v**3 + 150*v**2 - 512*v + 358. Let j(l) = -8*l**3 + 50*l**2 - 171*l + 120. Let p(s) = 10*j(s) - 3*o(s). Factor p(y).\nAnswer: -2*(y - 21)*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**4 - 7*r**4 + 12*r**4 + 2*r**4 + 0 + 0 + (3 - 3 - 2*r)*(2*r**3 + 4 - 4).\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Let r(k) be the third derivative of k**5\/60 + 7*k**4\/24 - 4*k**3\/3 + 15*k**2. Let g be r(-8). Solve 3*h = -g*l - 3*l + 6, -3*h - y = l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -28 + (-33 - -49).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4267 is divided by 286?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3564.473nm to kilometers.\nAnswer: 0.000000003564473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -6. Let d be ((-44)\/m)\/(4\/(-6)). Let c(j) = 205*j - 107*j + 17*j**3 - 11*j**2 - 87*j. Let y(v) = 9*v**3 - 6*v**2 + 6*v. Calculate d*y(a) - 6*c(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4536316 + 61?\nAnswer: -4536225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75375.6l?\nAnswer: 75375600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3675 divided by -5?\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 112625 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:33 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1)\/1)*(-8)\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000990466653 to 6 decimal places.\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (108\/42)\/(-2*4\/(-56)) and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**4\/6 + b**3\/6 - 9*b**2\/2 + 203. Let p(c) be the second derivative of g(c). Let t(s) = -6*s - 1. What is -7*p(j) - 5*t(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097624264?\nAnswer: 2, 3, 87401011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3990520 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 - -290. List the prime factors of x.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 5*b + 2. Calculate h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -598, -608, -622, -640, -662?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = -48*u + 59*u + 91*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -x. Let g(d) = d + 4. Let b be g(x). Suppose 4*l - 24 = -b*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 11*d**2 + 8*d + 202. Determine v(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.37 + 107.37. Let q = d + -63. Let v = q + -41.9999921. What is v rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 602 - 239. Let u be ((-12)\/8 - -3)\/(2*21\/(-5936)). Let m = z + u. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.59 + 0.59. Let u = w - -12. Let v = -6.000022 - u. What is v rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 6*v + 1. Let f(k) = -k**2 + 16*k + 20. Let n be f(17). Suppose -n*q + 9 = -4*q + 5*a, a + 27 = 5*q. What is g(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by (6\/(-4))\/((-6)\/100).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 5 - 1 + 3 - 1. Let i be v(-6). Suppose 0 = i*c - 30. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110111010 - 1010000110?\nAnswer: -111001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2100\/175*((-75)\/10)\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16115 and 586?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 20*f**2 - 88*f + 64.\nAnswer: 4*(f - 2)*(f - 1)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 0 - (139 + -115)) + (-10 - 4).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185948 and 232?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 1120465080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/810394 and -113\/4862364.\nAnswer: 4862364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/42*2*1. Let f be (11 - 8) + (-34)\/10. Which is the nearest to f? (a) -4 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (2 + -14)\/1. Let b be (-10)\/(-6)*y\/15. Let s = -1 - -2. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (0 - -5)\/(1\/(-4)). Let f be 1\/((-6)\/(-9))*y\/6. Suppose x = -0*x - f*u + 117, -3*u - 560 = -4*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let i be (1 + 1*-2)*1. Let h be 0\/(i*2 + 4). Let v(k) = h*k + 2*k + k. Determine g(v(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20138034 take away -0.5?\nAnswer: 20138034.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 280 = 5*f + 5*n, 4*f + 5*n - 377 + 98 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 4 + 0 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630923 = 4*v - 1736917. Suppose -8*f + v = -4*f. Suppose 0 = 5*x - 4*r + 185020, -4*x - 5*r + 3*r = f. Round x to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/560 and (-3)\/(-45) - 40\/(-140).\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674 + 3119 + 3673 = -322*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -1\/51 (c) 1 (d) -0.545 (e) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:03 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 14, 46, 76, 104?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 5:33 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 192*o + 21973. What is f(-98)?\nAnswer: 3157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.84166 rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.062 to the nearest integer.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15120891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 11 = -5*r, 9*o - o - 9*o = -2*r + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i - 90 = 0. What is the remainder when (-141)\/94*(-19)\/((-342)\/(-420)) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 1 - (-29909)\/77. Let k = x + -31739\/84. What is the common denominator of k and 95\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*m - 4, -5*g = -2*m - 1 - 27. Let a(l) = 8*l - 18. Let y be a(8). Suppose 2*o = g*o - y. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 84.3 + -8.3. Let w = y - -53. Let g = 143.6 - w. What is g rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 r when four letters picked without replacement from {k: 3, m: 4, z: 6, r: 6}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + 111110100101011110?\nAnswer: 111110100101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(2 - -2)\/(-2). Let o be i\/2 + 2 + -2. Suppose o*g = -5*m + 35, -5*g + 4*m + 5 = -0*g. Solve 33 = -g*z + 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56484.3 to the nearest one thousand.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 10799220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 20*b - 6 = 0. Suppose w - 6 + 3 = 0. Let j(g) = -5 + 6*g**2 - 30*g**b - w*g - 4 + 31*g**3. Calculate j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - x = 749, -4*p + p - x + 451 = 0. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z - 12. Let q be n(-3). Let b(f) = f**3 + f**2 + f. Let r(u) be the first derivative of u**4\/4 + u**3 + 2*u**2 + 49. Determine q*b(i) - r(i).\nAnswer: 2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*z = 108 - 102, -3*t + 4*z + 55 = 0. Solve t = 50*l + 13 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103044 (base 9) in base 14?\nAnswer: -1848c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -0.5 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*g = 44*g + 5*g + 3738 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 43190*s - 16 - 6134*s.\nAnswer: -49324*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 7*k**2 + 8*k - 8. What is p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -184, -221, -318, -505, -812, -1269, -1906, -2753?\n\"Answer: -5*g**3 - 2*g - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53779 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*u**2 + 9*u + 86*u**2 + 58*u**2 + 5*u + 44*u**2.\nAnswer: 42*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 406076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 3*z - 67. Let x be r(10). Solve x*a - 15 = 6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c - 3. Let h = -3 + 5. Let n be (5 - 3) + (h - 2). Let s(y) = 4*y + 0*y - 7*y**2 + 7 + 5*y**n. Calculate 4*s(x) + 9*t(x).\nAnswer: x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb3 (base 14) to base 10.\nAnswer: 2313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-1))\/(6\/(-267)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2.99973. Round i to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/3)*j\/((j\/(((j\/(j\/((j*j*j**(-8)\/j)\/j)))\/j)\/j))\/j)*j)**19)**1)**(-20) assuming j is positive.\nAnswer: j**(9880\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-138)*2\/(-3)*-6\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o + 7*o - 3 - 20*o. Let g(a) = 2*a - 11 + 17 - 7. Let f(b) = -2*b + 2. Let z(y) = -5*f(y) - 6*g(y). Calculate 6*p(r) - 5*z(r).\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4 - 2. Let u(h) = f*h**2 + 4*h**2 - 43*h + 43*h. Let y(c) be the third derivative of c**4\/24 - c**2 + 68*c. What is y(u(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(152)*-1*1)\/(1*(sqrt(8) + (sqrt(8) - sqrt(8)*-1)))).\nAnswer: 4*sqrt(19)\/3 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2813.867 + 2795.6. Let w = -0.133 + j. Let y = -18 - w. What is the smallest value in 1\/10, 1, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -19120.\nAnswer: -6\/1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 3. Suppose 6*i + 26 - 14 = 0. Let q be x(i). Solve -q*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7212283186 and 802.\nAnswer: 801.2787716814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/23)\/(s*((s**(2\/11)\/s*s)\/s*s*s*s*s)\/s*s)*(s\/s**(-1\/2))**48*(s**(-4)*s*s**(4\/3))**37 assuming s is positive.\nAnswer: s**(4603\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -3*z**2\/2 - 6*z - 5. Give n(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**3*p + 507*n**3 + n**2*p**2 + 39*n*p**2 wrt p.\nAnswer: -3*n**3 + 2*n**2*p + 78*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 345547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3814 + 4902. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 10) to base 4\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134114 + -3344?\nAnswer: 130220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201996104*q**3 + 22*q**2 - 389*q + 757.\nAnswer: 1211976624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 0\/(2 - 4). Suppose -3*t - m*o + 16 = -12, 2*t + 3*o = 27. Which is greater: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 8. Let h be q(-6). Suppose h*d = -g - 0 + 37, 4*d - 4*g - 12 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -882299602*j + 1343*j**2 + 882299601*j - 1335*j**2.\nAnswer: 8*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (52 - (59 - -57))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + d**3 + 3 - 1 - d + d**2 to the form x + b*d**3 + f*d + u*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**6\/30 + o**3 - 6*o**2 - 29. Let x(u) be the third derivative of y(u). Let c(g) = -g. Calculate c(x(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*p = 7, -2*p - 1 = 5. Is c less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -7.6.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 19723 = -2*d + d, -3*b = 3*d - 2805. What are the prime factors of b?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = 5*w - 3*w. Suppose -5*a + 2*z + 168 = 0, -18*a + 19*a - z = 30. Calculate the remainder when w is divided by a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (39\/126)\/((-2)\/(-5)). Let a = n + -3\/28. Which is greater: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6019630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3357 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 v(p) = -2714*p. Let c(q) = q. What is v(c(j))?\nAnswer: -2714*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*j**5 - 366*j**3 + 471808*j**2 wrt j?\nAnswer: -10980*j**2 - 2196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8470 and 105875?\nAnswer: 211750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, -1\/2, 18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l + 16*l + 9*l + 14*l - 51*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 14) to base 16.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 42*f**2 + 5. Let u be b(-42). Solve -u*x + 24 = -s, -11 = -5*s - 3*x + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 32302?\nAnswer: 32223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 at least as big as -53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*b + 78 = 252 + 123. Solve -b*o = -118 + 136 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -14. Let g = 3 - 3. What is the second biggest value in 2\/11, z, g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/70 and -45\/16?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -97*d**7\/42 - d**6\/15 + d**3\/2 + 37*d**2\/2 - 95*d - 1. Find the second derivative of s(o) wrt o.\nAnswer: -1940*o**3 - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801728 is divided by 6120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 654? (a) 0.1 (b) -4\/7 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slsllllslll. What is prob of picking 2 l?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -5874\/194803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -59. Suppose -5*b + 30 = -0*b + 5*k, -2*b = -v*k - 36. Let d be (65\/b)\/((-2)\/(-4)) - 3. What is d rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjjnrvzr. What is prob of sequence xjz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4192566*j + 9*j**2 + 1 - 1 + 4192566*j. Let w(z) = -533*z. Calculate w(u(i)).\nAnswer: -4797*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2\/7, 4, 1153.2, -2?\nAnswer: 1153.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) + sqrt(3) + -2) + 2 + 1 + sqrt(3) - (sqrt(108) - (sqrt(108) + (sqrt(108) - sqrt(108)*-3))*4)*-6)**2.\nAnswer: -1362*sqrt(3) + 1391284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/((-117)\/(-18)). Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.86, -7000, -0.4 in ascending order.\nAnswer: -7000, -0.86, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 2. Let y be n(-6). Let k(u) = 185 - 94 + u**2 - 90. Let j(b) = -2*b**2 - 4. What is y*k(l) + j(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let z = -287 + 287.2. What is the nearest to q in z, -1, -2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36687, -4, -3, 3 in decreasing order.\nAnswer: 36687, 4, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4 - 463*c**3 - 77145*c**2 - 5351917*c - 123538474 = 0. Calculate c.\nAnswer: -139, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*f*m**2 + 59*f*m - 31*f + 3*m**3 + 32*m**2 + 2 wrt m.\nAnswer: 48*f + 18*m + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -2a?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**3 + 3*d + 2*d**3 + d**2 + 3*d - 2*d - 5*d - 1 - 3*d**4 as w*d + q*d**2 + z + k*d**3 + c*d**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 228 - 47 - 64 + 16*r**3.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29461850*c*s**2 + 953369*c*s - 8*c wrt s?\nAnswer: -58923700*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 205\/(-15) + 496\/(-48)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4292*q**3 - 4294*q**3 + 8581*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -292, 10 in increasing order.\nAnswer: -292, -2\/11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049521 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*n - 7. Suppose 4 = -u + n. Is u <= -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -613*y + 10722. Calculate f(16).\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-42)\/7)*(-4)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39671.52064 to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -106*b**4 + 775*b**3\/6 + 7*b + 21. Find the second derivative of t(d) wrt d.\nAnswer: -2544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1227*w + 2. Let v(r) = -1218*r - 3. Determine 3*v(m) + 2*z(m).\nAnswer: -1200*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 133144 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5449 - -5452. Let v = 1 - 1. Suppose v = 4*y - 12, -5*s + 418 = h*y - 266. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 >= -1\/4615746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 145*a - 231. Is x(22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.906479 millilitres?\nAnswer: 0.003906479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94457263?\nAnswer: 29, 37, 47, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/10)\/((-9)\/120). Suppose -5*b = -b - w. Solve 12 = -3*q + p, 2*q + 2*p + b = -p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 3*k**8\/2240 + k**7\/840 - k**6\/144 + k**5\/120 - k**4\/12 + 2*k**2. Let t(g) be the second derivative of a(g). Factor t(u).\nAnswer: (u + 1)*(3*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3547626 and 1878?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-16)*(-4)\/(-48)*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - 0.43. Let w = -139.4 - -143.4. Which is the third biggest value? (a) -4\/7 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5864 + -5858. Solve 766*d = 767*d - m for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66162 and 5510?\nAnswer: 182276310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 36. Let d be (-1 - 0\/5)*5. Let w(k) = 3*k - 35. Calculate d*c(g) - 6*w(g).\nAnswer: 2*g + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8489*u**2 + 5*u + 57549 wrt u?\nAnswer: 16978*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 772 = 2*d, -2*d + 2*a + 768 = a. What is the greatest common divisor of d and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 9*w + 24. Let m be z(-11). Solve 0 = -f - f - 2*b, 0 = -f - m*b + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784)*1)\/(3*sqrt(8)*2 + sqrt(8)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1827378 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2)*z*z)**(-8\/11)*z\/(z*z**7*z)*z*z**6 assuming z is positive.\nAnswer: z**(-39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6222653 divided by -87643.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**5 + 573018*l**4 + 10*l**3 - 1002*l**2 + 67619*l wrt l.\nAnswer: -300*l**2 + 13752432*l + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 - 91089.\nAnswer: -90909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 1740390*n**2 + 3480795*n + 1740400.\nAnswer: -5*(n - 348080)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 10:19 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22020 - -22036. Suppose -11 = -5*u + 9. Suppose 0 = u*q - 7*q. Solve q = 5*p - 4 - t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 160864556 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.8 - -4. Let f = 31561 - 31561.3. What is the smallest value in f, 7.1, o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -241 - -285. What is the remainder when 305 is divided by b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-28)*2)\/((-9)\/(-24))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -116, -62 in ascending order.\nAnswer: -116, -62, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 9*x - 70. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.107 + 167.893. Let i = l + -168.2. Which is smaller: i or 0.002?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/6*2 + (-5 - -1). Let o(z) = -z**2 - 60*z + 38. What are the prime factors of o(f)?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285940.65 + -0.17055.\nAnswer: -285940.82055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3541*c*q**2 + c*q - 100*c + 15223*q**2 - q + 747 wrt c.\nAnswer: -3541*q**2 + q - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42798 = -5143*h - 265782 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 330319260*h**2 + h + 738875866 wrt h?\nAnswer: 660638520*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 17*l**2 - 15*l + 15. Determine j(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.3 (c) -6 (d) 27 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*m + g + 5*g, -203*g = 5*m - 208*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h**2 - 129*h**2 - h**3 + 10 + 5 + 52*h**2 - 15.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 266 divided by -31\nAnswer: -266\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -31699*y + 63387. Calculate i(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -208 - -213. Let o be f\/4 - (-21)\/(-28). Suppose 0 - 1\/3*l - 1\/6*l**3 + o*l**2 = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000311337 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 - 509\/7. What is the closest to g in -3, -4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8569*z - 4345 wrt z?\nAnswer: -8569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366438 is divided by 1226.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -7*z**3\/6 + 2*z + 4. Let v(k) be the first derivative of k**2\/2 - 2. Calculate v(q(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3*r*u - 9*g**3*r - g**2*r*u - 2*g**2*r + 43995*g*u + r + 232 with respect to u.\nAnswer: -g**3*r - g**2*r + 43995*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -1034*u + 1032*u - 3, 2*o = 11*u + 39 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/9)*(r*(r**(-12)\/r)\/r)\/r*((r**(2\/11)*r)\/r*r)**(-10\/7) assuming r is positive.\nAnswer: r**(-10718\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -7*c - 8. Let r be 3\/(-6) + (-1488412)\/c. Let s = r - 108051. Round s to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171.92541 months to decades.\nAnswer: 1.43271175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r + 101*r**3 + 9*r - 316*r**3 + r + 111*r**3 + 103*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 - 192375017*a\/2 + 37008147165750289\/4.\nAnswer: (a - 192375017)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -431 (base 6) to base 8\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2. Let s(f) = -8*f**2 + 23*f - 4. Let t(r) = -16*r**2 + 51*r - 9. Let w(n) = 9*s(n) - 4*t(n). What is j(w(l))?\nAnswer: 256*l**4 - 192*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 45544.\nAnswer: -5\/45544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 8*j**3 + 4*j**3 - 18*j.\nAnswer: 11*j**3 - 18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1555026195 to the nearest integer?\nAnswer: 39434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36920 - -36920. Solve -121*k + 93*k - 28 = p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -1 + (-96 - (-41 + -54)) + 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - d + 2. Let c(q) = -2*q**2 + 7*q - 1. Let r(v) = 2*v**2 - 6*v + 1. Let z(h) = 6*c(h) + 7*r(h). What is -3*w(b) + 4*z(b)?\nAnswer: 2*b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.076 + -0.486. Let r = -99578260 + 99578260.40999937. Let o = r + s. What is o rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/27618 and 76\/9?\nAnswer: 82854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26780323.\nAnswer: 359, 74597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100337985?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(1728) + 0)*-1 - (sqrt(1728) - (0 + sqrt(1728))*1 - (sqrt(1728) + 1 + -2)**2))*-3 + 0.\nAnswer: -10368 + 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*d - 3*w, -2*d + 50*w - 46*w - 20 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22.96588 and 646.\nAnswer: 623.03412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 2*d + 118. List the prime factors of q(-19).\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/11)*(((v**6*v)\/v)\/v)\/v*v**(-15\/4)\/v*v**(-1) assuming v is positive.\nAnswer: v**(-61\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195 is divided by 224?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10. Suppose n + 2 = 4*t, h*n + 2*n = -t + 5. Suppose 31 = n*k - 5. Solve -5*q - k + 3 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1629*x + 881*x + 763*x + 6.\nAnswer: 15*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + -7 + 11 + 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(-3))*c)*c*c*c**4)\/(c**(-1\/7)\/c**(3\/4))*((c\/(c*c*c*c**2*c*c*c*c))**(1\/19))**(-27\/5) assuming c is positive.\nAnswer: c**(32363\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times -8869012?\nAnswer: 709520.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1742*k + 1745*k - 7*n - 8*n - 12, n + 2*n - 1 + 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2112*n**2 + 1027*n**2 + n + n + 2 + 2*n**4 - 4*n**4 + 1041*n**2 - n**3 as x*n**4 + t*n**3 + l*n + f*n**2 + m and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5572a35 (base 11) to base 9.\nAnswer: 20340152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*w + 2535 + 6531 - 2886 = 0. Let x be 8*-5*3\/(-2). What is the highest common divisor of x and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**11\/13860 + b**7\/630 - b**4\/6 - b. Let l(t) be the third derivative of q(t). What is the third derivative of l(z) wrt z?\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 5561.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = -3*z, z = -3*y - 3*z + 3. Which is greater: y or -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -9, 14, 110, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1305 + -902. Suppose 0 = 5*r + 5*x - 1000, -4*r - x + w = -2*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185606200 and 440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11174400 rounded to the nearest 10000?\nAnswer: -11170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 11229, -0.2 in descending order.\nAnswer: 11229, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.9 + 1.9. Sort -4, c, -0.1 in ascending order.\nAnswer: -4, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*j - 41*j - 1 - j**2 + 33*j - 76*j + j**3 - 35*j as o*j + l + c*j**2 + g*j**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-19)*w**(-5\/3)\/w*w assuming w is positive.\nAnswer: w**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -12\/91, -0.1, 3\/5, -1?\nAnswer: -12\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2. Let l(c) = 7*c**2 + 5*c. Let m(k) = 3*k**2 + 2*k. Suppose 2*p - p = -5*i - 27, -5*i - 25 = 0. Let v(g) = p*l(g) + 5*m(g). Determine v(n(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 7*o - 4*o - 2559, 0 = 4*o + b - 3435. Is 55 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17964352 - -0.50763994. Let k = -0.328 + g. Round k to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002116215 to 6 dps.\nAnswer: 0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 + 3*v**2 - 3*v**2 - 1016 + 1016.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 + 4*l**2 + 0*l**2 + 6*l**2.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1246)\/8)\/(308\/(-486992)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.868 times 1553\nAnswer: -2901.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 2*n - 1. Let j(v) = -3*v - 9. Let g be j(-2). Let k(a) be the first derivative of -a**3 + 2*a**2 - 2*a + 1070. Calculate g*k(b) + 5*w(b).\nAnswer: -b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j**2 - 2783966*j - 6*j**2 - 3*j**2 + 2783966*j - 28*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -10620*m + 3 - 55*m**2 + m**3 + 10625*m + 0 as g*m + r*m**3 + y*m**2 + x and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9949 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*c - 17*c = 4*s - 8, s + 16 = 5*c. Solve -s*n = -4*r - 20, 5*n = 2*n + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18598.9827 - -0.04795?\nAnswer: 18599.03065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 1a74067a?\nAnswer: -1a740679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8316 is divided by 1367.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -307.643 + -0.357. Let r = c + 304. Sort -0.1, 2\/13, r.\nAnswer: r, -0.1, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**(-2) assuming f is positive.\nAnswer: 1\/sqrt(f)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5755 + 3445. Is 10 a factor of x\/(-75) - 1\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*h**3 + 64*h**3 - 133*h**3.\nAnswer: 18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -35. Suppose -3*y + 3*f = 3, d*y + 2*y + 3 = f. Which is smaller: -8\/3 or y?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/3 - 391*v**2\/3 - 8870*v + 9000 = 0 for v.\nAnswer: -60, 1, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 110000101001 (base 2) to base 8\nAnswer: 6051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114) + -1*sqrt(114)*-6 + sqrt(114))\/(sqrt(384) + -2*sqrt(384)).\nAnswer: -9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -2 - (-130 - -133)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10941 divided by -521.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 16*m - 16. Let g be f(14). Let q(p) = -g*p + 10*p + 3*p**2 - 8*p**2 + 2. Let h(i) = -14*i**2 - 6*i + 6. Calculate -4*h(o) + 11*q(o).\nAnswer: o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 147173.7 litres?\nAnswer: 147173700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2120 + 479 - 303)*(-3*h**4 + 2*h**4 + 3*h**4) in the form q*h + i*h**3 + p*h**2 + w + z*h**4 and give z.\nAnswer: 4592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/24 - i**3\/6 - 153*i**2. Determine f(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1131 - -52478. What are the prime factors of v?\nAnswer: 53609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 2. Let j(n) = -8*n - 17. Let p(q) = 6*j(q) - 51*k(q). Suppose -u + 13 - 11 = 0. Let o(h) = h**2 + 10*h. Determine u*o(w) - 7*p(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 392874529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2521, -6039, -9557, -13075?\nAnswer: -16593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83095203 + 47399771. Let t = 130495007.0000065 - o. Let m = t - 33. Round m to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 3*w**2 + 3*w - 3. Let y = -65 + 43. Let l(u) = -3*u**3 + 11*u**2 - 11*u + 11. Let p = 24224 + -24230. Give p*l(k) + y*i(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 121*a + 37. What is the tens digit of j(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278153703 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18802 and 15200074.\nAnswer: 2686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/7, -1529, -0.4 in descending order.\nAnswer: -0.4, -8\/7, -1529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 - 3*u**2 - 73*u + 75. Let h be g(1). Let r be (-2)\/(-6) + (-1)\/3. Solve r = i - h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-8 - 39814*n**2 + 19906*n**2 + 6*n + 19906*n**2).\nAnswer: -2*n**2 + 6*n - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -2 (b) -2\/11 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34232969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/52 - 14\/91.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(5*m + 8*m + 12*m)*(5 - 3 + 3).\nAnswer: -250*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2\/3*b**2 - 240 + 44*b = 0?\nAnswer: 6, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000021596 to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76712.35555 rounded to the nearest ten?\nAnswer: 76710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -28745479.023\nAnswer: -28745469.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5842.\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 2926539.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -271682, -1086855, -2445480, -4347563, -6793110, -9782127, -13314620, -17390595?\n\"Answer: -q**3 - 271720*q**2 - 6*q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.21027 at least -0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 8*z + 3. Suppose -5*v = 26 + 14. Let x be w(v). Solve x*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -0.5, -122?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88051.\nAnswer: 191, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -843189.\nAnswer: -16863.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2272*d**2 + 1720*d.\nAnswer: -4544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 6. Let k be 44\/(-15 + 8 + 11). Give l(k).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:19 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-1) - (-4009)\/211\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -20, 6, 32, 52, 60?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/34*54\/90. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 4:18 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -183*a**3\/11 - 127004*a**2\/11 + 1812508*a\/11 + 19824\/11 = 0.\nAnswer: -708, -2\/183, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, y: 1, b: 4, d: 1, a: 1, z: 1}. What is prob of picking 1 d, 1 a, 1 c, and 1 b?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(10\/26*-13)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-166)\/(-498)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/4*(0 + (-4)\/(-2)). Suppose -h*u - 480 = -1765. Suppose -5*d + u + 18 = 0. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 516\/(-387)*(2 + 1 + -2 - -8). Let n(a) = 2*a - 7. Let y be n(5). Calculate the common denominator of 95\/6 and -4 + ((-2)\/g)\/(y\/(-321)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119645640, -119645639, -119645646, -119645667, -119645708, -119645775, -119645874, -119646011?\nAnswer: -119646192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0143759639 to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(128) - ((sqrt(128) + 2 - sqrt(128)) + -4))**2.\nAnswer: 96*sqrt(2) + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276437941?\nAnswer: 13, 773, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -14*h. Let c(u) = 5*u - 8. Let g be c(6). Suppose 0 = -3*i - z - z + 26, -2*z = -3*i + g. Solve 3*t - 4*j + 1 = h, 3*t = -4*j - 9 - i for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*l + 13 = 0, -3*l = 3*f + 2*l - 18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -10 + 22 + -26\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10354 - -1033555602\nAnswer: 1033545248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*x - 4*l, 0 = -135*x + 131*x + l - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3 + 1443*n**2 + 2922*n - 11592 = 0. Calculate n.\nAnswer: -4, 2, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1014)\/(-66) - 25*(-12)\/(-20). Determine o so that r*o**4 + 8\/11*o + 6\/11*o**2 + 0 - 18\/11*o**3 = 0.\nAnswer: -1\/2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 4. Suppose -5*a = 3*y + 98 - 252, -99 = -3*a - p*y. What is the remainder when a is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11668*o**3 + 0*o**2 + 82 - 11665*o**3 - 4*o**2.\nAnswer: 3*o**3 - 4*o**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94069\/29 or 3245?\nAnswer: 94069\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:06 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -489.939 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2. Let l(c) = -13*c. Let r(b) = -b - 2. Let u be r(-5). Let s(q) = -5 + 105*q + 5. Let j(n) = u*s(n) + 25*l(n). Give m(j(k)).\nAnswer: -200*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-p + 4 - 4)*(-1 + 1 + 2) + 7*p + 6*p - 5*p)*(-1 - 1 - 2) - p - p + 4*p.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-104)\/(-10) - 14\/35. Suppose 7*a - c*a + 105 = 0. What are the prime factors of 2\/10 + 2653\/a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 283836 and 14569380.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkmwmkmkkkmmmwmm. What is prob of sequence ww?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/((-820)\/412 + 2))\/(-1). Let b = m - 65. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 783 - 501. What are the prime factors of f?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 99\/11 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-2)\/(-21) + ((-145)\/(-210) - 442\/(-2652))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3353 a factor of 27326173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 86.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -5.\nAnswer: -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: e4352 (base 15) to base 16\nAnswer: b083a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 4*y = 15, -6 = -4*n - 2*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 573793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-96))\/(9\/(-24)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e0 - 55?\nAnswer: 98a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -2 + (-90201)\/(-6099)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5))**(7\/3)\/(g\/(g**(1\/3)\/g*g)*g**(-4\/7)) assuming g is positive.\nAnswer: g**(13\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*y + 1 + 8 = 0, 3*y = -15. Calculate the remainder when 23 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c**2 - 74914681*c + 74914681*c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/44)\/(39\/(-286)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3\/7 - 32*k**2\/7 + 114*k\/7 = 0.\nAnswer: -19, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2))**(-19)\/(a**(2\/5))**(-36\/5) assuming a is positive.\nAnswer: a**(1569\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 - (3 + -12 + 12 - 3) - (5 - 2).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0, 22, -2\/7, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -296.727757 + 12.727695. Let n = 284 + t. Round n to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35)\/(-10) + 3\/(-4 - 2). Suppose 2*a = -w - y*w + 8, a = 0. Solve 5*b - w*k = 25, 0 = 4*k - 0*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 8 = 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/4 of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1980 - -2018. Solve 0 = s*b - 7*b - 124 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 591429342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7)\/z*z**(-2\/13))\/(z\/(z*z**(-2\/3))*z)**(-1\/33)*(z*z**5\/z)\/z*z*z**(1\/2)*z*z**(3\/8)\/z*z*z**(-7) assuming z is positive.\nAnswer: z**(-109121\/72072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384*x - 286 + 258 + 4237 = -3087 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811253.35 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1692 and 12?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + 1*sqrt(136)*1 + sqrt(136) - 6*-2*sqrt(136))\/(sqrt(8)*-1*4 + (sqrt(8) - (sqrt(80) - -1*sqrt(80))\/sqrt(10))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 500 and 2720?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11572938.\nAnswer: 2, 3, 13, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - k - 32, -2*l - l + 3*k - 39 = 0. Let b be 3 - 3\/(l\/(-3)). Suppose -x - 2*z + 11 = 0, -3*x - 5*z + 50 = b*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -295 + 266 + -10 + -2\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and -2.07.\nAnswer: -60.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -114. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -906*d + 911*d + 3*x - 7 = 0, 5*d - 17 = 7*x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -872, -7431, -25402, -60497, -118428?\nAnswer: -204907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**0*v))\/v*v**(-1\/17)*(v*v*v**(-3)*v)\/(v\/v**(1\/8)*v))**35 assuming v is positive.\nAnswer: v**(-18725\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2407236 divided by 5\nAnswer: -2407236\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6432 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 1334*w - 1154*w - 32 to c*w + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -2*f**6\/15 + f**5\/60 + f**4\/24 - 33*f**2\/2 + 33*f. Let t(o) be the first derivative of g(o). Let i = -1 + 0. What is t(i)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 1.9. Let h = 0.8 + -5.8. Let s = h - -4.9. Which is the closest to s? (a) -5 (b) k (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bkb when three letters picked without replacement from zzkbee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*i + 2*u - 15, -4*i = -u - 21. Solve -5*p + 10 = -i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 614 or 613?\nAnswer: 614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {c: 9, t: 6, j: 2}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 4*c - 9. Let d be ((-14)\/(-6))\/(4\/(-12)). Let a be f(d). What is the greatest common divisor of a and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*x + 10*x - 65*x)*(1 - 2 + 2) + 6*x - 23*x - 6*x in the form o*x + b and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*t + 137 + 63. Solve 2*o + 10 = -t*z, 11 = -2*o - 4*z + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37060037*h + 36555087 with respect to h.\nAnswer: 37060037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -27. Suppose -5*z + u = -2*z. Suppose 3*f - 69 = -z*l, 0 = -2*f + 4*f - 4*l - 58. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/24*16\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 110\/9*m - 38\/3*m**2 - 2\/9*m**4 + 14\/3*m**3 - 4 = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1001, 983, 965?\nAnswer: 947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x - 47. Let r be y(7). Let u(o) = 3*o + 11. Give u(r).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2855 and 67.9.\nAnswer: 2922.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2671 = -4*h - 931. Suppose 0 = -3*w - u + 261, u + h = -0*w + 5*w. List the prime factors of w.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 g when four letters picked without replacement from {r: 1, b: 4, g: 4, v: 1, m: 5, s: 3}?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 6. Let l(w) = -w - 13. Let h(f) = 3*l(f) - 7*x(f). Let t be h(4). Suppose -4*z = 5*i + t, 5*i + 13 = -3*z - 5. Sort -5, i, 0.1.\nAnswer: -5, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.14 and 0.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -5\/36*y**3 - 1\/2*y**2 - 1\/72*y**4 - 18*y + 0. Factor n(p).\nAnswer: -(p + 2)*(p + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1024 and 57344?\nAnswer: 57344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274110 by -54822.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -351291, -702583, -1053875?\n\"Answer: -351292*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -28*h**2 - 278*h - 75. Let f(w) = -28*w**2 - 276*w - 74. Let t(q) = -5*f(q) + 6*l(q). Factor t(z).\nAnswer: -4*(z + 10)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6261*f - 4*j = -6265*f + 4, -5*f - 35 = 3*j. Sort 5, -1, 73, -6, f in descending order.\nAnswer: 73, 5, -1, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + s - 5. Let a be (2 - (0 + -2)) + -4. Suppose -p + 6 = 2*p. Suppose a = p*u - u. Determine q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 565*o + 230*o - 271*o to the form j*o + l and give j.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/5553900 and 1\/462825.\nAnswer: 5553900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 17190.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 2*c - c + 89*c + 6*c - 14*c + (-4 + 3 + 0)*(2 - 2 - 2*c).\nAnswer: 81*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 119*n - 116*n + 5*z - 521093, -16 = 2*z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 134781 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(-12558 - 31*h**4 + 12558) + 5*h**3 - 5*h**3 + 2*h**4 + 4*h - 2*h**4 - 3*h**4 + 3*h**4.\nAnswer: 62*h**4 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4177988 by 4.\nAnswer: 1044497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 = 3269\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -364 divided by 52\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16729 (b) 10.6 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - g - 4. Let n be h(0). Suppose 5*b + 3 = 2*b. Let r = -3.5 + 3. Sort n, b, r in ascending order.\nAnswer: n, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 8 = -f. Let j(q) be the first derivative of q**3\/3 + 7*q**2\/2 + 4*q - 10932. Determine j(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1026272 and 416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*j - 1 = -0, 2*g - j = 12. Suppose -2*z = -7*z, -v + z - 5 = -0*v. Put 60, v, g, -4 in descending order.\nAnswer: 60, g, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (271\/(-1))\/(2\/(-168)*4). Let z = 125233\/22 - d. Find the common denominator of z and 81\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.5395 to the nearest integer.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301003 - 1310230?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 491020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 84 = -j, -1322261*b + 1322315*b + 3*j = 183 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061434161 to 7 dps.\nAnswer: 0.0000614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 4.1. Let t = 4.1 - o. Let w be ((6 - 11) + -5)*2\/4. Which is smaller: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125 + -59. Let t = -11680 + 11845. What is the greatest common factor of m and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -166222661 - -34422661. Round t to the nearest 1000000.\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 12, 0.1, 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -181, -757, -1333, -1909, -2485?\n\"Answer: -576*d + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -408 * -25.71\nAnswer: 10489.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*n - 96 - 12 = 0, 0 = -3*r - n - 75. Let v = -16 - r. Suppose -b + 3*a + v = 0, -b + 0*a + 8 = 3*a. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009573287?\nAnswer: 3, 336524429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmmttmmmmmttmmmmmmm. Give prob of picking 4 t.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 7}. What is prob of sequence ii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3898351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/42 + o**3\/21 + 2*o**2\/7 - 5*o. Solve f(g) = 0 for g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - b)*(2*b**4 + 72*b - 72*b - 9).\nAnswer: -2*b**5 + 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 23 - 40 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001464 rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, i: 2, e: 1}. Give prob of picking 1 i and 1 o.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1717 = -41*r - 513 + 1584. Let q = -52 - -77. Calculate the remainder when r is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -897440 divided by -56090.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2312 (base 4) to base 8\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/15 - 15404*a**4\/15 = 0. What is a?\nAnswer: 0, 7702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-16))\/(2\/8). Let h(u) be the first derivative of -u**4\/4 + 3*u**2\/2 + 3*u - 1. Let t(o) = 2*o**3 - 7*o - 7. Calculate i*h(z) - 3*t(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 14*i - 18*i. Suppose 2*t + i*t - 4*r - 4535 = 0, -3619 = -4*t + 5*r. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16215439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.056 and 9.\nAnswer: 0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**7\/5040 - r**5\/60 + 4*r**2. Let z(k) be the third derivative of d(k). Let a(v) = 2 - 1 - 3*v + v. Give -2*a(p) - 5*z(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d172492b + 2?\nAnswer: -d1724929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046*x = 1055*x - 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than 1.036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1984*k**3 - 898*k**3 + 3322*k**3.\nAnswer: 4408*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 937156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (1 + (6 - 8 - 0) - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2420408\/120 + 4\/(-60)?\nAnswer: 2, 5, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345247.91499 take away 3279?\nAnswer: -348526.91499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 450*l**3 + 12404*l**2 - 81870*l - 94725.\nAnswer: (l - 421)*(l - 15)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2258*n**2 - 2251*n**2 + 2748*n + 15233*n.\nAnswer: 7*n**2 + 17981*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -552 + 551.9999458. Round w to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11.61122 millennia?\nAnswer: 11611.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -9*x**3 - x**2. Let k be a(-1). Let p be 2\/(-8) + 314\/k. Suppose p = c + 3. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 107103b + 5a?\nAnswer: 1071098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2040611 (base 7) to base 12\nAnswer: b9a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -530\/11 smaller than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -0.33. What is r rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006460513 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29b0b2 (base 12) to base 14.\nAnswer: -1444d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 58. Which is bigger: 2\/11 or r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 21.60224?\nAnswer: -86.40896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48.87 - -49. What is the smallest value in a, 1, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -440 - 82*u + 920 - 481. Let w(r) = -12*r. What is w(j(a))?\nAnswer: 984*a + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 632 and 2216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -181, -365, -549?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 5 = -7*z. Suppose 5*o = -20, 0 = -z*u - 2*o - 63 + 887. What is the remainder when u is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4557*s**2 + 10*s - 8. Let v be l(6). What is v rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(6\/7)*v**(-1\/6))\/((((v*v\/((v\/((v\/(v*v**(4\/7)))\/v)*v*v)\/v))\/v)\/v)\/v*v**(-6)))**(-1))**(-3\/10) assuming v is positive.\nAnswer: v**(443\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39369.0083051 - -39369. Round m to 4 dps.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 4, -32*t + 33*t - 4*a + 4 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 18248448?\nAnswer: -18248445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 688385553319\nAnswer: 688385553294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 3*h + 1. Let w be j(2). Calculate the highest common divisor of 56 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91095 > -92823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 811, 1622, 2433, 3244?\n\"Answer: 811*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d3 + -b?\nAnswer: c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6524?\nAnswer: 2, 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w. Let r(p) = 4*p. Let a(v) = -r(v) + t(v). Let i(d) be the third derivative of -d**2 + 0*d**4 + 0*d + 0*d**3 + 0 - 1\/60*d**5. Give i(a(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 at most as big as -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 - 22*x**2 - 18*x - 196. Let d be w(-11). Let o(u) be the first derivative of -18 + 0*u + 5\/3*u**3 + 5\/2*u**d. Factor o(n).\nAnswer: 5*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-258)\/645)\/(-3 - -1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 4. Let w be -1 + (-2 + 2 - -1). Let a be c(w). Let y be (a - (0 + -2)) + 74. What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = -3*k + 6, -5*a = 4*k + 15. Let r be (k + 2 - 2)\/1. Which is bigger: 1\/2 or r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) - (-4176)\/(-27). List the prime factors of (-16)\/20*(-3)\/((-6)\/g).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234597753 times 2?\nAnswer: 469195506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7344*j - 2 + 2 + 7347*j. What is n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 42. Let l be y(24). Let s be 2\/2 - 2*l\/(-4). Let n be 2 + (s - 0\/5). Solve n = -3*b - 6 - 9, 2*z - 4*b - 18 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + b + 205 = -5*r, 3*b - 210 = 5*r. Let p = -39 - r. Suppose p = 160*c - 158*c + 50. Which is smaller: -122\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, d: 5, m: 2}. Give prob of sequence dmm.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 16. Let l be f(-5). Let y = l + -23. Suppose -2 = -2*o + y. Which is the smallest value? (a) -0.5 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717018 is divided by 32384.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/33 in 178, 6, -1\/21, 3, 0.4, -4\/5?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - n + 10. Suppose 12 = n*v + v. Solve -v*o = -7 - 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-3 + 6 + 1)*(-14*s**4 + 412 - 412).\nAnswer: -112*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p + 15 = 5*k + 8*p, -k + 3*p + 3 = 0. Sort -5, -248, k in descending order.\nAnswer: k, -5, -248","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.39 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29\/3 + 10. Let r = -13\/6 - -3\/2. What is the third biggest value in x, r, -5, -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -62*b**2 + 11*b. Let p(i) = -395*i + 3939. Let o be p(10). Let m(l) = 31*l**2 - 6*l. What is o*m(s) - 6*t(s)?\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 225365 - 149022. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 16, e: 2}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4.211 times 69.16\nAnswer: 291.23276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4722*o*x**2 + 15723*o*x + 2*x**3 wrt x.\nAnswer: -9444*o + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -35259 divided by 5037?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 516*h**2 - 3*h. Let r(d) = 1371*d. What is n(r(y))?\nAnswer: 969894756*y**2 - 4113*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 331890 and 15873.\nAnswer: 3650790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/72 and -16\/165.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4108*t + 8218*t - 1251*t - 1172*t as f*t + m and give f.\nAnswer: 9903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -1634494443?\nAnswer: 1634494437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 23 times -0.082\nAnswer: -1.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2233.3 in 0.5, -2.7, -1.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 0)*1*19\/(-4). Let f = m + -5. Let h(r) = -1 + f*r**2 + 1. Let t(y) = y. Calculate t(h(l)).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**5\/60 - 3*d**2\/2 + 3. Let x(h) be the second derivative of m(h). Let n(l) = -3*l. Determine n(x(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 2 + sqrt(1125) + sqrt(320) + (sqrt(320) - (sqrt(320) - (sqrt(320) - (sqrt(320) + -1*sqrt(320)*-4)))) + sqrt(320))*-4.\nAnswer: -8*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12755.\nAnswer: 5, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2)\/(35\/(-15)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*a, u - 3*a = -8*a - 13. Let k = 32 + -25. Suppose z = k - 0. What is the smallest common multiple of z and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221411 is divided by 12300?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 964024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 6*i + 8. Let p(j) = j - 3. Let c be p(-3). Give y(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*c + 467*c - 260*c.\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, e: 7, k: 2}. Give prob of sequence kwe.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -606778, -1213549, -1820320, -2427091?\n\"Answer: -606771*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 18*p**3 + 128*p**2 + 8*p - 40. Let z be j(-7). Which is the second biggest value? (a) -1 (b) z (c) 886\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4077 + 1256. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163.4 + 1.6. Let t = 165.00000386 - m. Round t to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 16*x - 41. Let n be a(-12). Let q = -234 - n. Let z(p) = p + 1. Let l(v) = -3*v - 3. Determine q*l(s) - 4*z(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(-3843)\/(-366)*(-190)\/(-7)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14538038 is divided by 148?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -177, -706, -1589, -2826, -4417, -6362?\n\"Answer: -177*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (9 + -16 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 61*s**4 + 2*s**3 - 7*s**2 + 2. Let d(i) = -i**3 + i**2 - 1. Let q(z) = -2*d(z) - n(z). Find the third derivative of q(r) wrt r.\nAnswer: -1464*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + l**2. Let b(d) = -15*d**4 - d**3 - 11*d**2. Let j(z) = 2*b(z) + 2*w(z). Find the third derivative of j(k) wrt k.\nAnswer: -720*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23, 41, 59, 77?\n\"Answer: 18*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 133*g**4\/2 - 202*g**3\/3 + 685. Find the third derivative of r(o) wrt o.\nAnswer: 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045052.8089 rounded to the nearest ten?\nAnswer: 1045050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 40*o**2 - 16*o**2 - 135*o - 7*o**2 + 22*o - 18*o**2.\nAnswer: -o**2 - 111*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 2)\/(3\/2). Let i be (-30)\/(-20)*(-4)\/6. Let l be 6\/6 - (-1 - i). Are h and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v + 4*v - v)*(4*v + 16*v - 8*v + v**3) to the form g*v**4 + z*v**2 + f*v + s*v**3 + d and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8443 + -8440. Put h, 2, -2, -5, -340 in increasing order.\nAnswer: -340, -5, -2, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) -0.2 (c) -1.981\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 322 + -181. Suppose -v = -2*a + 3*u + 2*u, 3*u = 4*a - 261. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 107 - 107 + 586*w**2 + 470*w**2 + (0 + 0 + 2*w)*(w - 2*w + 2*w) - w**2 - w**2 + 4*w**2.\nAnswer: 1060*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21058.881 months in millennia?\nAnswer: 1.75490675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l - 17. Let s be -1 - (3 + 8 + -4). Let i be g(s). Is (-1)\/((28\/(-568))\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -29\/5835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 100 = 2*l, -5*r + l + 2*l = -210. Let i be 208\/10 - (-9)\/r. Is 12\/3 + 15*i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13349716 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: Determine m so that -252*m**5 + 1572*m**4 - 100*m**3 - 1620*m**2 + 352*m + 48 = 0.\nAnswer: -1, -2\/21, 1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -5*l + 5*k + 16, 21 = -l + 4*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10086.925 to the nearest 100.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9142, 33496, 74082, 130900, 203950, 293232, 398746?\n\"Answer: 8116*m**2 + 6*m + 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/240 and -55\/68?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/18 and 89\/634.\nAnswer: 5706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + d**2 + 2*d + 18. Is 9 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.254 less than -2.311702?\nAnswer: -2.057702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -462142963\/408 - -1132704. Let k = 1\/136 + h. Which is the closest to -0.1? (a) -3 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -473066664 take away -141?\nAnswer: -473066523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-29)\/(-1) + (6 - 15) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(37800\/(-160)))\/((-2)\/21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 8. Let z(w) = 3*w + 9. Let r(s) = -5*u(s) - 4*z(s). Give r(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m - 4. Let g be x(-6). Suppose -g = 6*n - n. Let u = 34 + n. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 6, e: 3, d: 2}. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 262014917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = -i + 320, -4*p - 2*i + 426 = 0. List the prime factors of p.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 8.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -14 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 177*g - 1167. What is k(7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -28*g + 4811. Calculate v(172).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + bbb4?\nAnswer: bbb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gee when three letters picked without replacement from gegggegg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7565 - 5247. Is 37 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69021*c**2*o**2 - 18*c**2*o - 111*o wrt o.\nAnswer: -138042*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b5ed7d (base 15) to base 5.\nAnswer: -4204002133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 261*w - 361787. Calculate l(485).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*k - 81 = -26, -s + 21 = -k. Suppose 40 = -11*f + 7. Calculate the remainder when s is divided by f\/(-5)*1*15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, 46, 54, 62, 70, 78?\n\"Answer: 8*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-27))\/((24\/27)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.597 - -1.596579. What is s rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*u + 14, -u - u + 77 = -5*c. What is the tens digit of (c - 11)*9\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*c - 9 = -2*i + 341*c, -5*c - 15 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 2\/7, 1\/1034, -0.2, 4, 1\/47?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:20 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 - (24 + -50 - -34)) + -23.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 804d6d (base 15) in base 4?\nAnswer: 113033030020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2744921 and 2744893 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223371304*d**2 + 2589264*d + 5.\nAnswer: -446742608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32802 and 23107.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28823569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2650 + -2648. Solve -2*f + x = 4*i - i, f = -i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 7*n + 28 = z + 10*n, -49 = 2*z - 3*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(-3)\/(-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3544 (base 10) to base 9.\nAnswer: 4767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9 = 2*o. Suppose t = -o*t + 4. Let p = -57\/65 - -14\/13. What is the nearest to t in 2, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 72\/5 of a tonne?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 85, 172, 291?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**3\/y))**(-1\/4))**(-10\/11)\/(y**(-3\/4)\/(y\/y**7)*((y*(y\/((y*y*(y*y*y\/(y\/(y*y**8)))\/y)\/y))\/y)\/y)\/((y**(4\/5)\/y)\/y)) assuming y is positive.\nAnswer: y**(951\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326 - 304. What is the greatest common factor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 54.4. What is the nearest to -1 in z, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-6\/23))\/(((((u\/(u*u\/(u\/(u*u**(-2\/3)))))\/u)\/u)\/u)\/u))\/(u**(1\/12)\/u*u\/(u*u\/(u\/u**(2\/11)))) assuming u is positive.\nAnswer: u**(6245\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8611, -21422, -34233, -47044?\n\"Answer: -12811*u + 4200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24453282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - -8. Let y(q) = -3*q**2 - 3 + 0*q**2 + 0*q**2 + 4*q. Let a(j) = 8*j**2 - 19*j + 5*j**2 - 9 + 2*j + 22. What is m*y(c) - 2*a(c)?\nAnswer: c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/17 and (804\/(-32))\/(6\/(-8)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 122.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 5, h: 2, q: 4}. Give prob of sequence hqq.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1904690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 60*g - 2. Let w(o) = -2432*o - 135 - 149*o + 222. Let p(d) = 174*u(d) + 4*w(d). What is the hundreds digit of p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 7*n - 28. Let x = n + -11. Suppose x*r = -r + 270. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + -2)*6\/8. Suppose 36 = 3*j + 2*i, 2*j + 2*i - 17 = n*i. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 > -2.749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10813046 and 0.4?\nAnswer: -4325218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 29 = 6*v - 3*v, 5*t + 60 = -5*v. Let s = t + 15. Let d = -190 - -214. What is the greatest common divisor of d and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 457220 and 540?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*l**3*n**2 + i*l**3*x**2 - i*l**2*n**2*x - 87409*i*l*n**3*x**2 + 123*i*n**2*x**2 + l**3*n**3*x - 2*l*n**2*x**2 + 10*x wrt n?\nAnswer: -524454*i*l*x**2 + 6*l**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-508087)\/(-2 + 20 + -19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6) - -1) + 12\/9. Let i be 414\/(-540) - o\/(-20). Let l = 0.1 - 0.1. What is the closest to l in 2\/9, -0.4, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-20) + 1)\/(15\/5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 17 + -14 + 19 + -16?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**4 + 3*p**4 - p + 16 - 3*p**4 to the form j + b*p + q*p**3 + m*p**2 + h*p**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3662, 3521, 3368, 3197, 3002, 2777, 2516, 2213?\n\"Answer: -n**3 - 134*n + 3797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 3, w: 1, s: 1, t: 4, j: 2}. Give prob of picking 1 q, 1 j, and 1 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from ffmcbm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -789 - -800. Suppose 4*s + 5*m = 4*m + 39, 4*m = -4*s + 36. Suppose s*d - 5 = u*d. Which is smaller: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 980170 = -22886. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**5\/60 - 5*v**4\/24 + v**3\/3 - 58*v**2 - 18*v. Let p(a) be the first derivative of x(a). Give p(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*11\/1 - 2. Let f(p) = -p**3 - 24*p**2 - p + 1. Is f(a) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 2*y**2 - 5*y - 7. What is the remainder when a(7) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 74*i**2 + 150*i + 3838. What is the ten thousands digit of q(-28)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**2 + 33*a**2 + 7*a**2 + (a - 5*a - a)*(-2*a - 4*a + 2*a).\nAnswer: 54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 o when three letters picked without replacement from oiooioiiooioo?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 1 - -1) + -5 - (-11 - (11 + -30))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 661.4 and 19123.\nAnswer: 19784.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55315 rounded to 2 decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9363335*b + 7481143 wrt b?\nAnswer: -9363335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 33 - (1 + -1 - 5 - (8 + -2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16a + 2?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 120, 223, 314, 387, 436?\n\"Answer: -s**3 + 110*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-four ninths of a week?\nAnswer: 71680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 300, 661, 1176, 1851, 2692, 3705?\nAnswer: 4896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence equ when three letters picked without replacement from {q: 5, u: 2, e: 4, s: 4}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -8. Let b = 1664\/45 - 186\/5. What is the nearest to -1 in c, b, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 64. Let l(s) = 2*s - 2. Let i be l(3). Suppose -93 = a*u - i*u. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 20*o**2 - 69*o + 27. Is 11 a factor of l(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -51, -35, -1, 57, 145, 269?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 9:16 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ofohofoohofofo. Give prob of sequence fho.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 5*m**4\/12 + m**3\/3 - m**2 - 13*m. Let g be r(-2). Let p = 23 - g. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 21\/20*k**5 + 0*k + 1\/60*k**6 + 0 + 49\/6*k**3 - 1\/12*k**4 - 253*k**2. Find the second derivative of g(a) wrt a.\nAnswer: 12*a + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -1.4259614.\nAnswer: -12.8336526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9658 - -2?\nAnswer: 9660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Let r be (4 + -3 + 0)*(0 - 0). Solve r*q + q = -s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 1963*m\/2 - 40060.\nAnswer: (m - 40)*(m + 2003)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3\/2*n + 3 + 3\/8*n**3 - 3\/4*n**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11030 (base 4) in base 13?\nAnswer: -1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 8*d**2 - 2*d - 2. Let q be j(-4). Suppose 0 = -9*g + q*g + 6. Solve -14*z - 64 = g*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575695 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**2 + 6*y - 8. Let z be h(1). Let s be (z + 22)*(-5)\/(-25). Put 0, -2, -12, s in ascending order.\nAnswer: -12, -2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 2. Let i be g(0). Let a be 42\/9 - i\/6. Let f(d) be the second derivative of -d**5\/20 + d**4\/3 + d**3 - d**2\/2 - d. Give f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3239 is divided by ((-284)\/(-923))\/(8\/52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5938 - 1801. Suppose 0 = 6*m - h + 491. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4\/5*p**5 + 88\/5*p**3 + 96\/5*p**2 + 36\/5*p + 32\/5*p**4 + 0 = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 10) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -38*n + 804. Determine m(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -40*f**2 + 11970*f + 24950. Let w(z) = -z**2 + 285*z + 594. Let m(b) = 2*u(b) - 85*w(b). Factor m(t).\nAnswer: 5*(t - 59)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1495 + 0.8505. Let r = -2 - -5. Let f = r + -4. Which is the nearest to z? (a) f (b) 2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26834.\nAnswer: 2, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1050)\/(-2 - (-7 - -6)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 14*u = 3*r + 36, 2*r + 53*u - 28 = 48*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 10895 = 5*f, 0*f = -s + 5*f + 2735. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = 8*t + 33*t. Let m be 4\/5*(-11)\/(-5544). Is m greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 11 + (22 - 19) + (-2 - -6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s. Suppose 0 = -2*m + 3*m - 23. What is the remainder when m is divided by u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 226 and 67574.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -398878660*a**4*o**2 - 2*a**3*o + 19394*a**2*o**2 + 10775*a*o**2 wrt a.\nAnswer: -9573087840*a*o**2 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*48\/1456)\/(169\/24167)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -765485225, -765485223, -765485221, -765485219, -765485217?\nAnswer: -765485215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:45 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1\/589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 13. Determine b(-11).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -258\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.9 times -1?\nAnswer: 24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.6 (b) 12 (c) 1\/11 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 588, 1180, 1772, 2364, 2956, 3548?\nAnswer: 4140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:26 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {z: 6, v: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387, -363, -319, -249, -147, -7, 177?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 8*w + 4*w + 14*w**2 + 18 - w**3. Let h be z(15). Let c(l) = 4 + 2*l**h - 5 + 0*l**3 + 3*l**3. Calculate c(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 4903305*f + 53935992.\nAnswer: 3*(f + 11)*(f + 1634424)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 4, k: 7}. What is prob of sequence bkbz?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 23 = -y + 262, 2*y + 5*f - 573 = 0. Suppose -68*l - y = -70*l. Let c = -95 + l. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-16)\/z)**(1\/4)\/(z\/(z**(29\/3)\/z))**14 assuming z is positive.\nAnswer: z**(1243\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 35195 = 5*p, 9*p = 10*p + 4*k - 7039. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrmqqmmmqrmm. Give prob of sequence mm.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*k + 93 = 22, 4*n + 239 = 3*k. Let x = -92 - n. Let i = -28 - x. Calculate the greatest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -1)\/1 + 29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5*s - 14, s = n + 4*s - 6. Let d = 42 - 37. Suppose d*t + 2*x = 102, n*t - 15 = -2*x + 43. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1588140 divided by 135.\nAnswer: 11764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 4:38 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 52 = 4*q - 152 + 43, -3*n = 59*q - 2416 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1090, 2136, 3142, 4108, 5034?\nAnswer: 5920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u - 2*u**2 - 606 - 268 - 175 - 377 + 93 in the form j*u + c*u**2 + q and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215229 is divided by 54?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 498237, 498265, 498297, 498327, 498349, 498357, 498345, 498307?\n\"Answer: -o**3 + 8*o**2 + 11*o + 498219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -5*g**4\/4 + 85*g**3\/3 - 75*g**2 - 1548. Let j(x) = 0. What is x?\nAnswer: 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115221052 + 1150?\nAnswer: -115215502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}